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<span class="normal"> 682</span>
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<span class="normal"> 684</span>
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<span class="normal"> 703</span>
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<span class="normal"> 728</span>
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<span class="normal"> 900</span>
<span class="normal"> 901</span>
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<span class="normal"> 998</span>
<span class="normal"> 999</span>
<span class="normal">1000</span>
<span class="normal">1001</span>
<span class="normal">1002</span>
<span class="normal">1003</span>
<span class="normal">1004</span>
<span class="normal">1005</span>
<span class="normal">1006</span>
<span class="normal">1007</span>
<span class="normal">1008</span>
<span class="normal">1009</span>
<span class="normal">1010</span>
<span class="normal">1011</span>
<span class="normal">1012</span>
<span class="normal">1013</span>
<span class="normal">1014</span>
<span class="normal">1015</span>
<span class="normal">1016</span>
<span class="normal">1017</span>
<span class="normal">1018</span>
<span class="normal">1019</span>
<span class="normal">1020</span>
<span class="normal">1021</span>
<span class="normal">1022</span>
<span class="normal">1023</span>
<span class="normal">1024</span>
<span class="normal">1025</span>
<span class="normal">1026</span>
<span class="normal">1027</span>
<span class="normal">1028</span>
<span class="normal">1029</span>
<span class="normal">1030</span>
<span class="normal">1031</span></pre></div></td><td class="code"><div><pre><div id="l1" class="code_block"><span class="c">%=====================================================================</span>
</div><div id="l2" class="code_block">
</div><div id="l3" class="code_block"><span class="k">\newcommand</span><span class="nb">{</span><span class="k">\retn</span><span class="nb">}{</span><span class="k">\code</span><span class="nb">{</span>ret/n<span class="nb">}}</span>
</div><div id="l4" class="code_block">
</div><div id="l5" class="code_block"><span class="c">%--------------------------------------------------------------------------</span>
</div><div id="l6" class="code_block">
</div><div id="l7" class="code_block"><span class="k">\section</span><span class="nb">{</span>Tabled Predicate Manipulations<span class="nb">}</span> <span class="k">\label</span><span class="nb">{</span>sec:TablingPredicates<span class="nb">}</span>
</div><div id="l8" class="code_block">
</div><div id="l9" class="code_block">In XSB, tables are designed so that they can be used transparently by
</div><div id="l10" class="code_block">computations.  However, it is necessary to first inform the system of
</div><div id="l11" class="code_block">which predicates should be evaluated using tabled resolution
</div><div id="l12" class="code_block">(<span class="k">\refsec</span><span class="nb">{</span>sec:CompilerOptions<span class="nb">}</span>), and whether variant or subsumptive
</div><div id="l13" class="code_block">tabling shoud be used (<span class="k">\refsec</span><span class="nb">{</span>sec:TablingStrategies<span class="nb">}</span>).  Further, it
</div><div id="l14" class="code_block">is often useful to be able to explicitly inspect a table, or to alter
</div><div id="l15" class="code_block">its state.  The predicates described in this section are provided for
</div><div id="l16" class="code_block">these purposes.  In order to ground the discussion of these
</div><div id="l17" class="code_block">predicates, we continue our overview of tables and table creation from
</div><div id="l18" class="code_block"><span class="k">\refchap</span><span class="nb">{</span>chap:TablingOverview<span class="nb">}</span>.  For a detailed description of the
</div><div id="l19" class="code_block">implemntation of table access routines in XSB, the reader is referred
</div><div id="l20" class="code_block">to~<span class="k">\cite</span><span class="nb">{</span>RRSSW98,TST99,CuSW99b<span class="nb">}</span>.
</div><div id="l21" class="code_block">
</div><div id="l22" class="code_block"><span class="c">% - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -</span>
</div><div id="l23" class="code_block">
</div><div id="l24" class="code_block"><span class="k">\subsubsection*</span><span class="nb">{</span>Tables and Table Entries<span class="nb">}</span>
</div><div id="l25" class="code_block">
</div><div id="l26" class="code_block">For our purposes, a table can be seen as a set of entry triples <span class="s">$</span><span class="nv">\langle</span>
</div><div id="l27" class="code_block"><span class="nb">S,</span><span class="nv">\cA</span><span class="nb">,Status </span><span class="nv">\rangle</span><span class="s">$</span> where <span class="s">$</span><span class="nb">S</span><span class="s">$</span> is a subgoal, <span class="s">$</span><span class="nv">\cA</span><span class="s">$</span> is its associated
</div><div id="l28" class="code_block">answer set, and <span class="s">$</span><span class="nb">Status</span><span class="s">$</span> its status~---~whether it is <span class="k">\texttt</span><span class="nb">{</span>complete<span class="nb">}</span>
</div><div id="l29" class="code_block">or <span class="k">\texttt</span><span class="nb">{</span>incomplete<span class="nb">}</span>.  In terms of implementation, ``the table&#39;&#39; is
</div><div id="l30" class="code_block">actually a set of minitables, each one containing entries for a
</div><div id="l31" class="code_block">particular predicate.  Hence, we may refer to the table containing
</div><div id="l32" class="code_block">entries for some predicate <span class="k">\code</span><span class="nb">{</span>p/n<span class="nb">}</span> as ``the table for <span class="k">\code</span><span class="nb">{</span>p/n<span class="nb">}</span>.&#39;&#39;
</div><div id="l33" class="code_block">Further recall that a particular predicate may be evaluated according to
</div><div id="l34" class="code_block">either a variant or subsumptive strategy as chosen by the user.
</div><div id="l35" class="code_block">Invocation of a call during an evaluation leads to the classification of
</div><div id="l36" class="code_block">the call, as well as its possible insertion into the table.  Each call
</div><div id="l37" class="code_block">can be classified as either (a) a <span class="k">\emph</span><span class="nb">{</span>generator<span class="nb">}</span>, or <span class="k">\emph</span><span class="nb">{</span>producer<span class="nb">}</span>,
</div><div id="l38" class="code_block">of an answer set, or (b) a <span class="k">\emph</span><span class="nb">{</span>consumer<span class="nb">}</span> of the answer set of some
</div><div id="l39" class="code_block">subgoal in the table.  Creation of a table entry relies not only on the
</div><div id="l40" class="code_block">call and the subgoals already present in the table, but upon the tabling
</div><div id="l41" class="code_block">strategy as well.  
</div><div id="l42" class="code_block">
</div><div id="l43" class="code_block"><span class="k">\comment</span><span class="nb">{</span> TLS: this wasn&#39;t entirely clear to me, so it may be
</div><div id="l44" class="code_block">confusing to users. 
</div><div id="l45" class="code_block">
</div><div id="l46" class="code_block">We note that a table constructed using a subsumption-based strategy
</div><div id="l47" class="code_block">may hence contain a producing subgoal which is subsumed by another.
</div><div id="l48" class="code_block">Under certain circumstances, it is also convenient to store certain
</div><div id="l49" class="code_block">subsumed (consumer) subgoals in the table~<span class="k">\cite</span><span class="nb">{</span>TST99<span class="nb">}</span>.  We bring
</div><div id="l50" class="code_block">these issues to the user&#39;s attention as inspection of a table may
</div><div id="l51" class="code_block">reveal such entries.  <span class="nb">}</span>
</div><div id="l52" class="code_block"><span class="c">% - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -</span>
</div><div id="l53" class="code_block">
</div><div id="l54" class="code_block"><span class="k">\subsubsection*</span><span class="nb">{</span>Answers, Returns, and Templates<span class="nb">}</span>
</div><div id="l55" class="code_block">
</div><div id="l56" class="code_block">Given a table entry <span class="s">$</span><span class="o">(</span><span class="nb">S,</span><span class="nv">\cA</span><span class="nb">,Status</span><span class="o">)</span><span class="s">$</span>, each answer in <span class="s">$</span><span class="nv">\cA</span><span class="s">$</span> is
</div><div id="l57" class="code_block">maintained in XSB as an <span class="nb">{</span><span class="k">\em</span> answer substitution<span class="nb">}</span>, that is a
</div><div id="l58" class="code_block">substitution to the variables of <span class="s">$</span><span class="nb">S</span><span class="s">$</span><span class="k">\@</span>.  The table inspection predicates
</div><div id="l59" class="code_block">allow access to answer substitutions through a term whose principle
</div><div id="l60" class="code_block">functor is <span class="k">\retn</span>, where <span class="k">\code</span><span class="nb">{</span>n<span class="nb">}</span> is the number of distinct variables
</div><div id="l61" class="code_block">in the producer subgoal.  The order of arguments in <span class="k">\retn</span><span class="nb">{}</span>
</div><div id="l62" class="code_block">corresponds to the order of distinct variables in a left-to-right
</div><div id="l63" class="code_block">traversal of <span class="s">$</span><span class="nb">S</span><span class="s">$</span>.
</div><div id="l64" class="code_block">
</div><div id="l65" class="code_block"><span class="k">\begin</span><span class="nb">{</span>example<span class="nb">}</span>
</div><div id="l66" class="code_block">Let <span class="s">$</span><span class="nb">S </span><span class="o">=</span><span class="s">$</span> <span class="k">\code</span><span class="nb">{</span>p(X,f(Y))<span class="nb">}</span> be a producer subgoal and <span class="s">$</span><span class="nv">\alpha</span><span class="nb"> </span><span class="o">=</span><span class="s">$</span>
</div><div id="l67" class="code_block"><span class="k">\code</span><span class="nb">{</span><span class="k">\{</span>X=a,Y=b<span class="k">\}</span><span class="nb">}</span> be an answer substitution.  The representation of
</div><div id="l68" class="code_block"><span class="s">$</span><span class="nv">\alpha</span><span class="s">$</span> as a return is <span class="k">\code</span><span class="nb">{</span>ret(a,b)<span class="nb">}</span> and the application of that
</div><div id="l69" class="code_block">return to <span class="s">$</span><span class="nb">S</span><span class="s">$</span> yields the answer <span class="k">\code</span><span class="nb">{</span>p(a,f(b))<span class="nb">}</span>.<span class="k">\fillBox</span>
</div><div id="l70" class="code_block"><span class="k">\end</span><span class="nb">{</span>example<span class="nb">}</span>
</div><div id="l71" class="code_block">
</div><div id="l72" class="code_block">In a similar manner, XSB maintains substitutions between producer
</div><div id="l73" class="code_block">subgoals and consuming subgoals when subsumption-based tabling is
</div><div id="l74" class="code_block">used.  The <span class="k">\emph</span><span class="nb">{</span>return template<span class="nb">}</span> for a consuming call is a
</div><div id="l75" class="code_block">substitution mapping variables of its producer to subterms of the
</div><div id="l76" class="code_block">call.  This template can then be used to select returns from the
</div><div id="l77" class="code_block">producer which satisfy the consuming call.  Note, then, that a return
</div><div id="l78" class="code_block">template of a <span class="k">\emph</span><span class="nb">{</span>subsumed<span class="nb">}</span> subgoal may show partial instantiations.
</div><div id="l79" class="code_block">Return templates are also represented as <span class="k">\retn</span><span class="nb">{}</span> terms in the manner
</div><div id="l80" class="code_block">described above.
</div><div id="l81" class="code_block">
</div><div id="l82" class="code_block"><span class="k">\begin</span><span class="nb">{</span>example<span class="nb">}</span>
</div><div id="l83" class="code_block">Let <span class="k">\code</span><span class="nb">{</span>p/2<span class="nb">}</span> of the previous example be evaluated using subsumption
</div><div id="l84" class="code_block">and let <span class="s">$</span><span class="nb">S</span><span class="s">$</span> be present in its table.  Further, let <span class="s">$</span><span class="nb">S_</span><span class="m">1</span><span class="s">$</span>:
</div><div id="l85" class="code_block"><span class="k">\code</span><span class="nb">{</span>p(A,f(B))<span class="nb">}</span> and <span class="s">$</span><span class="nb">S_</span><span class="m">2</span><span class="s">$</span>: <span class="k">\code</span><span class="nb">{</span>p(g(Z),f(b))<span class="nb">}</span> be two consuming
</div><div id="l86" class="code_block">subgoals of <span class="s">$</span><span class="nb">S</span><span class="s">$</span><span class="k">\@</span>.  Then the <span class="k">\emph</span><span class="nb">{</span>return template<span class="nb">}</span> of <span class="s">$</span><span class="nb">S_</span><span class="m">1</span><span class="s">$</span> is
</div><div id="l87" class="code_block"><span class="k">\code</span><span class="nb">{</span>ret(A,B)<span class="nb">}</span> and that of <span class="s">$</span><span class="nb">S_</span><span class="m">2</span><span class="s">$</span> is <span class="k">\code</span><span class="nb">{</span>ret(g(Z),b)<span class="nb">}</span>.  <span class="s">$</span><span class="nb">S_</span><span class="m">1</span><span class="s">$</span>, being
</div><div id="l88" class="code_block">a variant of <span class="s">$</span><span class="nb">S</span><span class="s">$</span>, selects all returns of <span class="s">$</span><span class="nb">S</span><span class="s">$</span> such that
</div><div id="l89" class="code_block"><span class="k">\code</span><span class="nb">{</span><span class="k">\{</span>X=A,Y=B<span class="k">\}</span><span class="nb">}</span><span class="k">\@</span>.  <span class="s">$</span><span class="nb">S_</span><span class="m">2</span><span class="s">$</span>, on the other hand, selects only
</div><div id="l90" class="code_block"><span class="k">\emph</span><span class="nb">{</span>relevant<span class="nb">}</span> answers of <span class="s">$</span><span class="nb">S</span><span class="s">$</span>, those where the returns satisfy
</div><div id="l91" class="code_block"><span class="k">\code</span><span class="nb">{</span><span class="k">\{</span>X=g(Z),Y=b<span class="k">\}</span><span class="nb">}</span>.<span class="k">\fillBox</span>
</div><div id="l92" class="code_block"><span class="k">\end</span><span class="nb">{</span>example<span class="nb">}</span>
</div><div id="l93" class="code_block">
</div><div id="l94" class="code_block"><span class="c">% - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -</span>
</div><div id="l95" class="code_block">
</div><div id="l96" class="code_block"><span class="k">\subsubsection*</span><span class="nb">{</span>Skeletons and Predicate Specifications<span class="nb">}</span>
</div><div id="l97" class="code_block">
</div><div id="l98" class="code_block"><span class="k">\emph</span><span class="nb">{</span>Skeletal information<span class="nb">}</span> refers to the name and arity of the
</div><div id="l99" class="code_block">primary functor of a term.  A <span class="k">\emph</span><span class="nb">{</span>skeleton<span class="nb">}</span> for a functor <span class="k">\code</span><span class="nb">{</span>f/n<span class="nb">}</span>
</div><div id="l100" class="code_block">is any structure of the form <span class="k">\code</span><span class="nb">{</span>f(<span class="s">$</span><span class="nb">Arg_</span><span class="m">1</span><span class="s">$</span>,<span class="k">\ldots</span>,<span class="s">$</span><span class="nb">Arg_n</span><span class="s">$</span>)<span class="nb">}</span> where
</div><div id="l101" class="code_block"><span class="s">$</span><span class="nb">Arg_i</span><span class="s">$</span> can be any term.  Thus the skeletal information derived from
</div><div id="l102" class="code_block">the skeletons <span class="k">\code</span><span class="nb">{</span>f(1,2)<span class="nb">}</span> and <span class="k">\code</span><span class="nb">{</span>f(A,B)<span class="nb">}</span> would be the same.  A
</div><div id="l103" class="code_block"><span class="k">\emph</span><span class="nb">{</span>return skeleton<span class="nb">}</span> is a specific application of this notion to
</div><div id="l104" class="code_block">answer returns.  From it, one may discern the size of the template for
</div><div id="l105" class="code_block">a given subgoal.  Finally, we assume that a predicate specification
</div><div id="l106" class="code_block">for a predicate <span class="k">\code</span><span class="nb">{</span>p<span class="nb">}</span> and arity <span class="k">\code</span><span class="nb">{</span>n<span class="nb">}</span>, represented as
</div><div id="l107" class="code_block"><span class="k">\code</span><span class="nb">{</span>PredSpec<span class="nb">}</span> below, can be given either using the notation
</div><div id="l108" class="code_block"><span class="k">\code</span><span class="nb">{</span>p/n<span class="nb">}</span> or as a skeleton, <span class="k">\code</span><span class="nb">{</span>p(<span class="s">$</span><span class="nb">t_</span><span class="m">1</span><span class="s">$</span>,<span class="k">\ldots</span>,<span class="s">$</span><span class="nb">t_n</span><span class="s">$</span>)<span class="nb">}</span> for any term
</div><div id="l109" class="code_block"><span class="s">$</span><span class="nb">t_i</span><span class="s">$</span>.
</div><div id="l110" class="code_block">
</div><div id="l111" class="code_block"><span class="c">% - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -</span>
</div><div id="l112" class="code_block">
</div><div id="l113" class="code_block"><span class="k">\subsubsection*</span><span class="nb">{</span>Exceptions<span class="nb">}</span>
</div><div id="l114" class="code_block">
</div><div id="l115" class="code_block">Exceptions caught by the following predicates include:
</div><div id="l116" class="code_block"><span class="k">\begin</span><span class="nb">{</span>description<span class="nb">}</span>
</div><div id="l117" class="code_block"><span class="k">\item</span><span class="na">[Instantiation Error]</span> Argument is a variable.
</div><div id="l118" class="code_block"><span class="k">\item</span><span class="na">[Type Error]</span> Argument is not a predicate specification or callable term.
</div><div id="l119" class="code_block"><span class="k">\item</span><span class="na">[Table Error]</span> Argument does not contain a tabled predicate, or a valid
</div><div id="l120" class="code_block">	reference to a table component.
</div><div id="l121" class="code_block"><span class="k">\end</span><span class="nb">{</span>description<span class="nb">}</span>
</div><div id="l122" class="code_block">
</div><div id="l123" class="code_block">
</div><div id="l124" class="code_block"><span class="c">%--------------------------------------------------------------------------</span>
</div><div id="l125" class="code_block">
</div><div id="l126" class="code_block"><span class="k">\subsection</span><span class="nb">{</span>Operators for Declaring and Modifying Tabled Predicates<span class="nb">}</span>
</div><div id="l127" class="code_block"><span class="k">\label</span><span class="nb">{</span>sec:TablePred:Decl<span class="nb">&amp;</span>Mod<span class="nb">}</span>
</div><div id="l128" class="code_block"><span class="k">\index</span><span class="nb">{</span>tabling!directives<span class="nb">}</span><span class="k">\index</span><span class="nb">{</span>tabling!strategy selection<span class="nb">}</span>
</div><div id="l129" class="code_block">
</div><div id="l130" class="code_block"><span class="k">\begin</span><span class="nb">{</span>description<span class="nb">}</span>
</div><div id="l131" class="code_block"><span class="c">% - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -</span>
</div><div id="l132" class="code_block">
</div><div id="l133" class="code_block"><span class="k">\ournewitem</span><span class="nb">{</span>table<span class="k">\</span> <span class="k">\</span> +P<span class="s">$</span><span class="nb">_</span><span class="m">1</span><span class="s">$</span>/N<span class="s">$</span><span class="nb">_</span><span class="m">1</span><span class="s">$</span>, <span class="k">\ldots</span>, +P<span class="s">$</span><span class="nb">_k</span><span class="s">$</span>/N<span class="s">$</span><span class="nb">_k</span><span class="s">$</span>.<span class="nb">}{</span>Tabling<span class="nb">}</span>
</div><div id="l134" class="code_block"><span class="k">\index</span><span class="nb">{{</span><span class="k">\tt</span> table/1<span class="nb">}}</span>
</div><div id="l135" class="code_block"><span class="c">%</span>
</div><div id="l136" class="code_block">Declares each predicate denoted by <span class="k">\code</span><span class="nb">{</span>P<span class="s">$</span><span class="nb">_i</span><span class="s">$</span>/N<span class="s">$</span><span class="nb">_i</span><span class="s">$</span><span class="nb">}</span> to be tabled.
</div><div id="l137" class="code_block">
</div><div id="l138" class="code_block"><span class="c">% - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -</span>
</div><div id="l139" class="code_block">
</div><div id="l140" class="code_block"><span class="k">\ournewitem</span><span class="nb">{</span>use<span class="k">\_subsumptive\_tabling\</span> <span class="k">\</span> +PredSpec<span class="s">$</span><span class="nb">_</span><span class="m">1</span><span class="s">$</span>, <span class="k">\ldots</span>, +PredSpec<span class="s">$</span><span class="nb">_k</span><span class="s">$</span>.<span class="nb">}{</span>Tabling<span class="nb">}</span>
</div><div id="l141" class="code_block"><span class="k">\index</span><span class="nb">{{</span><span class="k">\tt</span> use<span class="k">\_subsumptive\_tabling</span>/1<span class="nb">}}</span>
</div><div id="l142" class="code_block"><span class="c">%</span>
</div><div id="l143" class="code_block">Declares each <span class="k">\emph</span><span class="nb">{</span>tabled predicate<span class="nb">}</span> denoted by <span class="k">\code</span><span class="nb">{</span>PredSpec<span class="s">$</span><span class="nb">_i</span><span class="s">$</span><span class="nb">}</span>
</div><div id="l144" class="code_block">to use subsumption-based tabling, thus overriding the current system
</div><div id="l145" class="code_block">default.  The tabling strategy can be changed at will through the
</div><div id="l146" class="code_block">invocation of this and the following predicate.  Note, however, that
</div><div id="l147" class="code_block">the table for the predicate must be empty at the time of the change.
</div><div id="l148" class="code_block">
</div><div id="l149" class="code_block"><span class="c">% - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -</span>
</div><div id="l150" class="code_block">
</div><div id="l151" class="code_block"><span class="k">\ournewitem</span><span class="nb">{</span>use<span class="k">\_variant\_tabling\</span> <span class="k">\</span> +PredSpec<span class="s">$</span><span class="nb">_</span><span class="m">1</span><span class="s">$</span>, <span class="k">\ldots</span>, +PredSpec<span class="s">$</span><span class="nb">_k</span><span class="s">$</span>.<span class="nb">}{</span>Tabling<span class="nb">}</span>
</div><div id="l152" class="code_block"><span class="k">\index</span><span class="nb">{{</span><span class="k">\tt</span> use<span class="k">\_variant\_tabling</span>/1<span class="nb">}}</span>
</div><div id="l153" class="code_block"><span class="c">%</span>
</div><div id="l154" class="code_block">Declares each <span class="k">\emph</span><span class="nb">{</span>tabled predicate<span class="nb">}</span> denoted by <span class="k">\code</span><span class="nb">{</span>PredSpec<span class="s">$</span><span class="nb">_i</span><span class="s">$</span><span class="nb">}</span>
</div><div id="l155" class="code_block">to use variant-based tabling, thus overriding the current system
</div><div id="l156" class="code_block">default.  The same comments apply as above.
</div><div id="l157" class="code_block">
</div><div id="l158" class="code_block"><span class="c">% - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -</span>
</div><div id="l159" class="code_block"><span class="k">\end</span><span class="nb">{</span>description<span class="nb">}</span>
</div><div id="l160" class="code_block">
</div><div id="l161" class="code_block"><span class="c">%--------------------------------------------------------------------------</span>
</div><div id="l162" class="code_block">
</div><div id="l163" class="code_block"><span class="k">\subsection</span><span class="nb">{</span>Predicates for Table Inspection<span class="nb">}</span>
</div><div id="l164" class="code_block"><span class="k">\label</span><span class="nb">{</span>sec:TablePred:Inspection<span class="nb">}</span>
</div><div id="l165" class="code_block"><span class="k">\index</span><span class="nb">{</span>tabling!table inspection<span class="nb">}</span>
</div><div id="l166" class="code_block">
</div><div id="l167" class="code_block">The user should be aware that skeletons that are dynamically created
</div><div id="l168" class="code_block">(e.g., by <span class="k">\code</span><span class="nb">{</span>functor/3<span class="nb">}</span>) are located in <span class="nb">{</span><span class="k">\tt</span> usermod<span class="nb">}</span> (refer to
</div><div id="l169" class="code_block"><span class="k">\refsec</span><span class="nb">{</span>Modules<span class="nb">}</span>).  In such a case, the tabling predicates below may
</div><div id="l170" class="code_block">not behave in the desired manner if the tabled predicates themselves
</div><div id="l171" class="code_block">have not been imported into <span class="nb">{</span><span class="k">\tt</span> usermod<span class="nb">}</span>.
</div><div id="l172" class="code_block">
</div><div id="l173" class="code_block">We maintain two running examples in this section for explanatory
</div><div id="l174" class="code_block">purposes.  One uses variant-based tabling:
</div><div id="l175" class="code_block"><span class="c">%</span>
</div><div id="l176" class="code_block"><span class="k">\begin</span><span class="nb">{</span>center<span class="nb">}</span>
</div><div id="l177" class="code_block"><span class="k">\begin</span><span class="nb">{</span>tabular<span class="nb">}{</span>cc<span class="nb">}</span><span class="k">\hline</span> <span class="k">\hline</span>
</div><div id="l178" class="code_block"><span class="k">\multicolumn</span><span class="nb">{</span>2<span class="nb">}{</span>c<span class="nb">}{</span><span class="k">\rule</span><span class="nb">{</span>0ex<span class="nb">}{</span>2.5ex<span class="nb">}</span><span class="k">\textbf</span><span class="nb">{</span>Variant Example<span class="nb">}}</span> <span class="k">\\</span> <span class="k">\hline</span> <span class="k">\hline</span>
</div><div id="l179" class="code_block"><span class="k">\rule</span><span class="na">[-2ex]</span><span class="nb">{</span>0ex<span class="nb">}{</span>5ex<span class="nb">}</span> <span class="k">\textbf</span><span class="nb">{</span>Program<span class="nb">}</span> <span class="nb">&amp;</span> <span class="k">\textbf</span><span class="nb">{</span>Table<span class="nb">}</span> <span class="k">\\</span>
</div><div id="l180" class="code_block"><span class="k">\begin</span><span class="nb">{</span>minipage<span class="nb">}{</span>14.5em<span class="nb">}</span>
</div><div id="l181" class="code_block"><span class="k">\begin</span><span class="nb">{</span>verbatim<span class="nb">}</span>
</div><div id="l182" class="code_block">:- table p/2.
</div><div id="l183" class="code_block">:- use<span class="nb">_</span>variant<span class="nb">_</span>tabling p/2.
</div><div id="l184" class="code_block">p(1,2).
</div><div id="l185" class="code_block">p(1,3).
</div><div id="l186" class="code_block">p(1,<span class="nb">_</span>).
</div><div id="l187" class="code_block">p(2,3).
</div><div id="l188" class="code_block"><span class="k">\end</span><span class="nb">{</span>verbatim<span class="nb">}</span>
</div><div id="l189" class="code_block"><span class="k">\end</span><span class="nb">{</span>minipage<span class="nb">}</span>
</div><div id="l190" class="code_block"><span class="nb">&amp;</span>
</div><div id="l191" class="code_block"><span class="k">\begin</span><span class="nb">{</span>tabular<span class="nb">}{</span>|c|c|c|<span class="nb">}</span> <span class="k">\hline</span>
</div><div id="l192" class="code_block">  Subgoal <span class="nb">&amp;</span> Answer Set <span class="nb">&amp;</span> Status<span class="k">\\</span> <span class="k">\hline</span> <span class="k">\hline</span>
</div><div id="l193" class="code_block">  p(1,Y) <span class="nb">&amp;</span> p(1,2) <span class="nb">&amp;</span> complete <span class="k">\\</span> 
</div><div id="l194" class="code_block">	 <span class="nb">&amp;</span> p(1,3) <span class="nb">&amp;</span> <span class="k">\\</span>
</div><div id="l195" class="code_block">	 <span class="nb">&amp;</span> p(1,Y) <span class="nb">&amp;</span> <span class="k">\\</span> <span class="k">\hline</span>
</div><div id="l196" class="code_block">  p(X,3) <span class="nb">&amp;</span> p(1,3) <span class="nb">&amp;</span> complete <span class="k">\\</span> 
</div><div id="l197" class="code_block">	 <span class="nb">&amp;</span> p(2,3) <span class="nb">&amp;</span> <span class="k">\\</span> <span class="k">\hline</span>
</div><div id="l198" class="code_block"><span class="k">\end</span><span class="nb">{</span>tabular<span class="nb">}</span> <span class="k">\\</span>
</div><div id="l199" class="code_block"><span class="k">\vspace*</span><span class="nb">{</span>-2ex<span class="nb">}</span> <span class="k">\\</span> <span class="k">\hline</span> <span class="k">\hline</span>
</div><div id="l200" class="code_block"><span class="k">\end</span><span class="nb">{</span>tabular<span class="nb">}</span>
</div><div id="l201" class="code_block"><span class="k">\end</span><span class="nb">{</span>center<span class="nb">}</span>
</div><div id="l202" class="code_block">
</div><div id="l203" class="code_block"><span class="k">\noindent</span>
</div><div id="l204" class="code_block">and the other uses subsumption-based tabling:
</div><div id="l205" class="code_block">
</div><div id="l206" class="code_block"><span class="k">\begin</span><span class="nb">{</span>center<span class="nb">}</span>
</div><div id="l207" class="code_block"><span class="k">\begin</span><span class="nb">{</span>tabular<span class="nb">}{</span>cc<span class="nb">}</span><span class="k">\hline</span> <span class="k">\hline</span>
</div><div id="l208" class="code_block"><span class="k">\multicolumn</span><span class="nb">{</span>2<span class="nb">}{</span>c<span class="nb">}{</span><span class="k">\rule</span><span class="nb">{</span>0ex<span class="nb">}{</span>2.5ex<span class="nb">}</span><span class="k">\textbf</span><span class="nb">{</span>Subsumptive Example<span class="nb">}}</span> <span class="k">\\</span> <span class="k">\hline</span> <span class="k">\hline</span>
</div><div id="l209" class="code_block"><span class="k">\rule</span><span class="na">[-2ex]</span><span class="nb">{</span>0ex<span class="nb">}{</span>5ex<span class="nb">}</span> <span class="k">\textbf</span><span class="nb">{</span>Program<span class="nb">}</span> <span class="nb">&amp;</span> <span class="k">\textbf</span><span class="nb">{</span>Table<span class="nb">}</span> <span class="k">\\</span>
</div><div id="l210" class="code_block"><span class="k">\begin</span><span class="nb">{</span>minipage<span class="nb">}{</span>17em<span class="nb">}</span>
</div><div id="l211" class="code_block"><span class="k">\begin</span><span class="nb">{</span>verbatim<span class="nb">}</span>
</div><div id="l212" class="code_block">:- table q/2.
</div><div id="l213" class="code_block">:- use<span class="nb">_</span>subsumptive<span class="nb">_</span>tabling q/2.
</div><div id="l214" class="code_block">q(a,b).
</div><div id="l215" class="code_block">q(b,c).
</div><div id="l216" class="code_block">q(a,c).
</div><div id="l217" class="code_block"><span class="k">\end</span><span class="nb">{</span>verbatim<span class="nb">}</span>
</div><div id="l218" class="code_block"><span class="k">\end</span><span class="nb">{</span>minipage<span class="nb">}</span>
</div><div id="l219" class="code_block"><span class="nb">&amp;</span>
</div><div id="l220" class="code_block"><span class="k">\begin</span><span class="nb">{</span>tabular<span class="nb">}{</span>|c|c|c|<span class="nb">}</span> <span class="k">\hline</span>
</div><div id="l221" class="code_block">  Subgoal <span class="nb">&amp;</span> Answer Set <span class="nb">&amp;</span> Status <span class="k">\\</span> <span class="k">\hline</span> <span class="k">\hline</span>
</div><div id="l222" class="code_block">  q(X,Y) <span class="nb">&amp;</span> q(a,b) <span class="nb">&amp;</span> complete <span class="k">\\</span>
</div><div id="l223" class="code_block">	 <span class="nb">&amp;</span> q(b,c) <span class="nb">&amp;</span> <span class="k">\\</span>
</div><div id="l224" class="code_block">	 <span class="nb">&amp;</span> q(a,c) <span class="nb">&amp;</span> <span class="k">\\</span> <span class="k">\hline</span>
</div><div id="l225" class="code_block">  q(a,Y) <span class="nb">&amp;</span> <span class="k">\textit</span><span class="nb">{</span>q(a,b)<span class="nb">}</span> <span class="nb">&amp;</span> complete <span class="k">\\</span>
</div><div id="l226" class="code_block">	 <span class="nb">&amp;</span> <span class="k">\textit</span><span class="nb">{</span>q(a,c)<span class="nb">}</span> <span class="nb">&amp;</span> <span class="k">\\</span> <span class="k">\hline</span>
</div><div id="l227" class="code_block">  q(X,c) <span class="nb">&amp;</span> <span class="k">\textit</span><span class="nb">{</span>q(b,c)<span class="nb">}</span> <span class="nb">&amp;</span> complete <span class="k">\\</span>
</div><div id="l228" class="code_block">	 <span class="nb">&amp;</span> <span class="k">\textit</span><span class="nb">{</span>q(a,c)<span class="nb">}</span> <span class="nb">&amp;</span> <span class="k">\\</span> <span class="k">\hline</span>
</div><div id="l229" class="code_block"><span class="k">\end</span><span class="nb">{</span>tabular<span class="nb">}</span> <span class="k">\\</span>
</div><div id="l230" class="code_block"><span class="k">\vspace*</span><span class="nb">{</span>-2ex<span class="nb">}</span> <span class="k">\\</span> <span class="k">\hline</span> <span class="k">\hline</span>
</div><div id="l231" class="code_block"><span class="k">\end</span><span class="nb">{</span>tabular<span class="nb">}</span>
</div><div id="l232" class="code_block"><span class="k">\end</span><span class="nb">{</span>center<span class="nb">}</span>
</div><div id="l233" class="code_block">
</div><div id="l234" class="code_block"><span class="k">\noindent</span>
</div><div id="l235" class="code_block">Note that in the subsumptive example, the subgoals <span class="k">\code</span><span class="nb">{</span>q(a,Y)<span class="nb">}</span> and
</div><div id="l236" class="code_block"><span class="k">\code</span><span class="nb">{</span>q(X,c)<span class="nb">}</span> are subsumed by, and hence obtain their answers from,
</div><div id="l237" class="code_block">the subgoal <span class="k">\code</span><span class="nb">{</span>q(X,Y)<span class="nb">}</span><span class="k">\@</span>.
</div><div id="l238" class="code_block">
</div><div id="l239" class="code_block"><span class="k">\vspace</span><span class="nb">{</span>2ex<span class="nb">}</span>
</div><div id="l240" class="code_block">
</div><div id="l241" class="code_block"><span class="k">\begin</span><span class="nb">{</span>description<span class="nb">}</span>
</div><div id="l242" class="code_block">
</div><div id="l243" class="code_block"><span class="c">% - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -</span>
</div><div id="l244" class="code_block">
</div><div id="l245" class="code_block"><span class="k">\ournewitem</span><span class="nb">{</span>get<span class="k">\_call</span>(+CallTerm,-TableEntryHandle,-ReturnTemplate)<span class="nb">}{</span>Tabling<span class="nb">}</span>
</div><div id="l246" class="code_block"><span class="k">\index</span><span class="nb">{{</span><span class="k">\tt</span> get<span class="k">\_call</span>/3<span class="nb">}}</span>
</div><div id="l247" class="code_block"><span class="c">%</span>
</div><div id="l248" class="code_block">Searches the table for an entry whose subgoal is a <span class="k">\emph</span><span class="nb">{</span>variant<span class="nb">}</span> of
</div><div id="l249" class="code_block"><span class="k">\code</span><span class="nb">{</span>CallTerm<span class="nb">}</span>.  Should the subgoal exist, then the handle to this
</div><div id="l250" class="code_block">entry is assigned to the second argument, while in the third, its
</div><div id="l251" class="code_block">return template is constructed.  These latter two arguments should be
</div><div id="l252" class="code_block">given as variables.
</div><div id="l253" class="code_block">
</div><div id="l254" class="code_block"><span class="k">\comment</span><span class="nb">{</span>Currently, this builtin fails if CallSkeleton is not a
</div><div id="l255" class="code_block">compound term, but yields an error if either CallSkeleton is not a
</div><div id="l256" class="code_block">tabled predicate or either of TableEntryHandle or ReturnSkeleton are
</div><div id="l257" class="code_block">non-variables.<span class="nb">}</span>
</div><div id="l258" class="code_block">
</div><div id="l259" class="code_block"><span class="k">\begin</span><span class="nb">{</span>minipage<span class="nb">}{</span>6in<span class="nb">}</span>
</div><div id="l260" class="code_block"><span class="k">\begin</span><span class="nb">{</span>example<span class="nb">}</span><span class="k">\</span> <span class="k">\\</span>
</div><div id="l261" class="code_block"><span class="k">\\</span>
</div><div id="l262" class="code_block"><span class="k">\begin</span><span class="nb">{</span>tabular<span class="nb">}{</span>l@<span class="nb">{</span><span class="k">\hspace</span><span class="nb">{</span>4em<span class="nb">}}</span>r<span class="nb">}</span>
</div><div id="l263" class="code_block"><span class="k">\begin</span><span class="nb">{</span>tabular<span class="nb">}{</span>c<span class="nb">}</span> <span class="k">\hline</span> <span class="k">\hline</span>
</div><div id="l264" class="code_block"><span class="k">\rule</span><span class="nb">{</span>0ex<span class="nb">}{</span>2.5ex<span class="nb">}</span><span class="k">\textbf</span><span class="nb">{</span>Variant Predicate<span class="nb">}</span> <span class="k">\\</span> <span class="k">\hline</span> <span class="k">\hline</span>
</div><div id="l265" class="code_block"><span class="k">\vspace*</span><span class="nb">{</span>-1ex<span class="nb">}</span> <span class="k">\\</span>
</div><div id="l266" class="code_block"><span class="k">\begin</span><span class="nb">{</span>minipage<span class="nb">}{</span>14.5em<span class="nb">}</span>
</div><div id="l267" class="code_block"><span class="k">\begin</span><span class="nb">{</span>small<span class="nb">}</span>
</div><div id="l268" class="code_block"><span class="k">\begin</span><span class="nb">{</span>verbatim<span class="nb">}</span>
</div><div id="l269" class="code_block">| ?- get<span class="nb">_</span>call(p(X,Y),Ent,Ret).
</div><div id="l270" class="code_block">
</div><div id="l271" class="code_block">no
</div><div id="l272" class="code_block">| ?- get<span class="nb">_</span>call(p(1,Y),Ent,Ret).
</div><div id="l273" class="code_block">
</div><div id="l274" class="code_block">Y = <span class="nb">_</span>h92
</div><div id="l275" class="code_block">Ent = 136039108
</div><div id="l276" class="code_block">Ret = ret(<span class="nb">_</span>h92);
</div><div id="l277" class="code_block">
</div><div id="l278" class="code_block">no
</div><div id="l279" class="code_block">| ?- get<span class="nb">_</span>call(p(X,3),Ent,Ret).
</div><div id="l280" class="code_block">
</div><div id="l281" class="code_block">X = <span class="nb">_</span>h84
</div><div id="l282" class="code_block">Ent = 136039156
</div><div id="l283" class="code_block">Ret = ret(<span class="nb">_</span>h84);
</div><div id="l284" class="code_block">
</div><div id="l285" class="code_block">no
</div><div id="l286" class="code_block">| ?- get<span class="nb">_</span>call(p(1,3),Ent,Ret).
</div><div id="l287" class="code_block">
</div><div id="l288" class="code_block">no
</div><div id="l289" class="code_block"><span class="k">\end</span><span class="nb">{</span>verbatim<span class="nb">}</span>
</div><div id="l290" class="code_block"><span class="k">\end</span><span class="nb">{</span>small<span class="nb">}</span>
</div><div id="l291" class="code_block"><span class="k">\end</span><span class="nb">{</span>minipage<span class="nb">}</span> <span class="k">\\</span>
</div><div id="l292" class="code_block"><span class="k">\vspace*</span><span class="nb">{</span>-1ex<span class="nb">}</span> <span class="k">\\</span> <span class="k">\hline</span> <span class="k">\hline</span>
</div><div id="l293" class="code_block"><span class="k">\end</span><span class="nb">{</span>tabular<span class="nb">}</span>
</div><div id="l294" class="code_block"> <span class="nb">&amp;</span>
</div><div id="l295" class="code_block"><span class="k">\begin</span><span class="nb">{</span>tabular<span class="nb">}{</span>c<span class="nb">}</span> <span class="k">\hline</span> <span class="k">\hline</span>
</div><div id="l296" class="code_block"><span class="k">\rule</span><span class="nb">{</span>0ex<span class="nb">}{</span>2.5ex<span class="nb">}</span><span class="k">\textbf</span><span class="nb">{</span>Subsumptive Predicate<span class="nb">}</span> <span class="k">\\</span> <span class="k">\hline</span> <span class="k">\hline</span>
</div><div id="l297" class="code_block"><span class="k">\vspace*</span><span class="nb">{</span>-1ex<span class="nb">}</span> <span class="k">\\</span>
</div><div id="l298" class="code_block"><span class="k">\begin</span><span class="nb">{</span>minipage<span class="nb">}{</span>14.5em<span class="nb">}</span>
</div><div id="l299" class="code_block"><span class="k">\begin</span><span class="nb">{</span>small<span class="nb">}</span>
</div><div id="l300" class="code_block"><span class="k">\begin</span><span class="nb">{</span>verbatim<span class="nb">}</span>
</div><div id="l301" class="code_block">| ?- get<span class="nb">_</span>call(q(X,Y),Ent,Ret).
</div><div id="l302" class="code_block">
</div><div id="l303" class="code_block">X = <span class="nb">_</span>h80
</div><div id="l304" class="code_block">Y = <span class="nb">_</span>h94
</div><div id="l305" class="code_block">Ent = 136043988
</div><div id="l306" class="code_block">Ret = ret(<span class="nb">_</span>h80,<span class="nb">_</span>h94);
</div><div id="l307" class="code_block">
</div><div id="l308" class="code_block">no
</div><div id="l309" class="code_block">| ?- get<span class="nb">_</span>call(q(a,Y),Ent,Ret).
</div><div id="l310" class="code_block">
</div><div id="l311" class="code_block">Y = <span class="nb">_</span>h88
</div><div id="l312" class="code_block">Ent = 136069412
</div><div id="l313" class="code_block">Ret = ret(a,<span class="nb">_</span>h88);
</div><div id="l314" class="code_block">
</div><div id="l315" class="code_block">no
</div><div id="l316" class="code_block">| ?- get<span class="nb">_</span>call(q(X,c),Ent,Ret).
</div><div id="l317" class="code_block">
</div><div id="l318" class="code_block">X = <span class="nb">_</span>h80
</div><div id="l319" class="code_block">Ent = 136069444
</div><div id="l320" class="code_block">Ret = ret(<span class="nb">_</span>h80,c);
</div><div id="l321" class="code_block">
</div><div id="l322" class="code_block">no
</div><div id="l323" class="code_block"><span class="k">\end</span><span class="nb">{</span>verbatim<span class="nb">}</span>
</div><div id="l324" class="code_block"><span class="k">\end</span><span class="nb">{</span>small<span class="nb">}</span>
</div><div id="l325" class="code_block"><span class="k">\end</span><span class="nb">{</span>minipage<span class="nb">}</span> <span class="k">\\</span>
</div><div id="l326" class="code_block"><span class="k">\vspace*</span><span class="nb">{</span>-1ex<span class="nb">}</span> <span class="k">\\</span> <span class="k">\hline</span> <span class="k">\hline</span>
</div><div id="l327" class="code_block"><span class="k">\end</span><span class="nb">{</span>tabular<span class="nb">}</span>
</div><div id="l328" class="code_block"><span class="k">\end</span><span class="nb">{</span>tabular<span class="nb">}</span>
</div><div id="l329" class="code_block"><span class="k">\end</span><span class="nb">{</span>example<span class="nb">}</span>
</div><div id="l330" class="code_block"><span class="k">\end</span><span class="nb">{</span>minipage<span class="nb">}</span> <span class="k">\\</span>
</div><div id="l331" class="code_block">
</div><div id="l332" class="code_block"><span class="c">% - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -</span>
</div><div id="l333" class="code_block">
</div><div id="l334" class="code_block"><span class="k">\ournewitem</span><span class="nb">{</span>get<span class="k">\_calls</span>(<span class="k">\#</span>CallTerm,-TableEntryHandle,-ReturnSkeleton)<span class="nb">}{</span>Tabling<span class="nb">}</span>
</div><div id="l335" class="code_block"><span class="k">\index</span><span class="nb">{{</span><span class="k">\tt</span> get<span class="k">\_calls</span>/3<span class="nb">}}</span>
</div><div id="l336" class="code_block"><span class="c">%</span>
</div><div id="l337" class="code_block">Identifies through backtracking each subgoal in the table which
</div><div id="l338" class="code_block">unifies with <span class="k">\code</span><span class="nb">{</span>CallTerm<span class="nb">}</span>.  For those that do, the handle to the
</div><div id="l339" class="code_block">table entry is assigned to the second argument, and its return
</div><div id="l340" class="code_block">skeleton is constructed in the third.  These latter two arguments
</div><div id="l341" class="code_block">should be given as variables.
</div><div id="l342" class="code_block">
</div><div id="l343" class="code_block"><span class="k">\comment</span><span class="nb">{</span>Currently, this builtin fails if CallTerm is not a
</div><div id="l344" class="code_block">compound term, but yields an error if either CallTerm is not a
</div><div id="l345" class="code_block">tabled predicate or either of TableEntryHandle or ReturnSkeleton are
</div><div id="l346" class="code_block">non-variables.<span class="nb">}</span>
</div><div id="l347" class="code_block">
</div><div id="l348" class="code_block"><span class="k">\begin</span><span class="nb">{</span>minipage<span class="nb">}{</span>6in<span class="nb">}</span>
</div><div id="l349" class="code_block"><span class="k">\begin</span><span class="nb">{</span>example<span class="nb">}</span><span class="k">\</span> <span class="k">\\</span>
</div><div id="l350" class="code_block"><span class="k">\\</span>
</div><div id="l351" class="code_block"><span class="k">\begin</span><span class="nb">{</span>tabular<span class="nb">}{</span>l@<span class="nb">{</span><span class="k">\hspace</span><span class="nb">{</span>4em<span class="nb">}}</span>r<span class="nb">}</span>
</div><div id="l352" class="code_block"><span class="k">\begin</span><span class="nb">{</span>tabular<span class="nb">}{</span>c<span class="nb">}</span> <span class="k">\hline</span> <span class="k">\hline</span>
</div><div id="l353" class="code_block"><span class="k">\rule</span><span class="nb">{</span>0ex<span class="nb">}{</span>2.5ex<span class="nb">}</span><span class="k">\textbf</span><span class="nb">{</span>Variant Predicate<span class="nb">}</span> <span class="k">\\</span> <span class="k">\hline</span> <span class="k">\hline</span>
</div><div id="l354" class="code_block"><span class="k">\vspace*</span><span class="nb">{</span>-1ex<span class="nb">}</span> <span class="k">\\</span>
</div><div id="l355" class="code_block"><span class="k">\begin</span><span class="nb">{</span>minipage<span class="nb">}{</span>15em<span class="nb">}</span>
</div><div id="l356" class="code_block"><span class="k">\begin</span><span class="nb">{</span>small<span class="nb">}</span>
</div><div id="l357" class="code_block"><span class="k">\begin</span><span class="nb">{</span>verbatim<span class="nb">}</span>
</div><div id="l358" class="code_block">| ?- get<span class="nb">_</span>calls(p(X,Y),Ent,Ret).
</div><div id="l359" class="code_block">
</div><div id="l360" class="code_block">X = <span class="nb">_</span>h80
</div><div id="l361" class="code_block">Y = 3
</div><div id="l362" class="code_block">Ent = 136039156
</div><div id="l363" class="code_block">Ret = ret(<span class="nb">_</span>h80);
</div><div id="l364" class="code_block">
</div><div id="l365" class="code_block">X = 1
</div><div id="l366" class="code_block">Y = <span class="nb">_</span>h94
</div><div id="l367" class="code_block">Ent = 136039108
</div><div id="l368" class="code_block">Ret = ret(<span class="nb">_</span>h94);
</div><div id="l369" class="code_block">
</div><div id="l370" class="code_block">no
</div><div id="l371" class="code_block">| ?- get<span class="nb">_</span>calls(p(X,3),Ent,Ret).
</div><div id="l372" class="code_block">
</div><div id="l373" class="code_block">X = <span class="nb">_</span>h80
</div><div id="l374" class="code_block">Ent = 136039156
</div><div id="l375" class="code_block">Ret = ret(<span class="nb">_</span>h80);
</div><div id="l376" class="code_block">
</div><div id="l377" class="code_block">X = 1
</div><div id="l378" class="code_block">Ent = 136039108
</div><div id="l379" class="code_block">Ret = ret(3);
</div><div id="l380" class="code_block">
</div><div id="l381" class="code_block">no
</div><div id="l382" class="code_block">| ?- get<span class="nb">_</span>calls(p(1,3),Ent,Ret).
</div><div id="l383" class="code_block">
</div><div id="l384" class="code_block">Ent = 136039156
</div><div id="l385" class="code_block">Ret = ret(1);
</div><div id="l386" class="code_block">
</div><div id="l387" class="code_block">Ent = 136039108
</div><div id="l388" class="code_block">Ret = ret(3);
</div><div id="l389" class="code_block">
</div><div id="l390" class="code_block">no
</div><div id="l391" class="code_block"><span class="k">\end</span><span class="nb">{</span>verbatim<span class="nb">}</span>
</div><div id="l392" class="code_block"><span class="k">\end</span><span class="nb">{</span>small<span class="nb">}</span>
</div><div id="l393" class="code_block"><span class="k">\end</span><span class="nb">{</span>minipage<span class="nb">}</span> <span class="k">\\</span>
</div><div id="l394" class="code_block"><span class="k">\vspace*</span><span class="nb">{</span>-1ex<span class="nb">}</span> <span class="k">\\</span> <span class="k">\hline</span> <span class="k">\hline</span>
</div><div id="l395" class="code_block"><span class="k">\end</span><span class="nb">{</span>tabular<span class="nb">}</span>
</div><div id="l396" class="code_block"> <span class="nb">&amp;</span>
</div><div id="l397" class="code_block"><span class="k">\begin</span><span class="nb">{</span>tabular<span class="nb">}{</span>c<span class="nb">}</span> <span class="k">\hline</span> <span class="k">\hline</span>
</div><div id="l398" class="code_block"><span class="k">\rule</span><span class="nb">{</span>0ex<span class="nb">}{</span>2.5ex<span class="nb">}</span><span class="k">\textbf</span><span class="nb">{</span>Subsumptive Predicate<span class="nb">}</span> <span class="k">\\</span> <span class="k">\hline</span> <span class="k">\hline</span>
</div><div id="l399" class="code_block"><span class="k">\vspace*</span><span class="nb">{</span>-1ex<span class="nb">}</span> <span class="k">\\</span>
</div><div id="l400" class="code_block"><span class="k">\begin</span><span class="nb">{</span>minipage<span class="nb">}{</span>15em<span class="nb">}</span>
</div><div id="l401" class="code_block"><span class="k">\begin</span><span class="nb">{</span>small<span class="nb">}</span>
</div><div id="l402" class="code_block"><span class="k">\begin</span><span class="nb">{</span>verbatim<span class="nb">}</span>
</div><div id="l403" class="code_block">| ?- get<span class="nb">_</span>calls(q(X,Y),Ent,Ret).
</div><div id="l404" class="code_block">
</div><div id="l405" class="code_block">X = a
</div><div id="l406" class="code_block">Y = <span class="nb">_</span>h94
</div><div id="l407" class="code_block">Ent = 136069412
</div><div id="l408" class="code_block">Ret = ret(a,<span class="nb">_</span>h94);
</div><div id="l409" class="code_block">
</div><div id="l410" class="code_block">X = <span class="nb">_</span>h80
</div><div id="l411" class="code_block">Y = c
</div><div id="l412" class="code_block">Ent = 136069444
</div><div id="l413" class="code_block">Ret = ret(<span class="nb">_</span>h80,c);
</div><div id="l414" class="code_block">
</div><div id="l415" class="code_block">X = <span class="nb">_</span>h80
</div><div id="l416" class="code_block">Y = <span class="nb">_</span>h94
</div><div id="l417" class="code_block">Ent = 136043988
</div><div id="l418" class="code_block">Ret = ret(<span class="nb">_</span>h80,<span class="nb">_</span>h94);
</div><div id="l419" class="code_block">
</div><div id="l420" class="code_block">no
</div><div id="l421" class="code_block">| ?- get<span class="nb">_</span>calls(q(a,Y),Ent,Ret).
</div><div id="l422" class="code_block">
</div><div id="l423" class="code_block">Y = <span class="nb">_</span>h88
</div><div id="l424" class="code_block">Ent = 136069412
</div><div id="l425" class="code_block">Ret = ret(a,<span class="nb">_</span>h88);
</div><div id="l426" class="code_block">
</div><div id="l427" class="code_block">Y = c
</div><div id="l428" class="code_block">Ent = 136069444
</div><div id="l429" class="code_block">Ret = ret(a,c);
</div><div id="l430" class="code_block">
</div><div id="l431" class="code_block">Y = <span class="nb">_</span>h88
</div><div id="l432" class="code_block">Ent = 136043988
</div><div id="l433" class="code_block">Ret = ret(a,<span class="nb">_</span>h88);
</div><div id="l434" class="code_block">
</div><div id="l435" class="code_block">no
</div><div id="l436" class="code_block"><span class="k">\end</span><span class="nb">{</span>verbatim<span class="nb">}</span>
</div><div id="l437" class="code_block"><span class="k">\end</span><span class="nb">{</span>small<span class="nb">}</span>
</div><div id="l438" class="code_block"><span class="k">\end</span><span class="nb">{</span>minipage<span class="nb">}</span> <span class="k">\\</span>
</div><div id="l439" class="code_block"><span class="k">\vspace*</span><span class="nb">{</span>-1ex<span class="nb">}</span> <span class="k">\\</span> <span class="k">\hline</span> <span class="k">\hline</span>
</div><div id="l440" class="code_block"><span class="k">\end</span><span class="nb">{</span>tabular<span class="nb">}</span>
</div><div id="l441" class="code_block"><span class="k">\end</span><span class="nb">{</span>tabular<span class="nb">}</span>
</div><div id="l442" class="code_block"><span class="k">\end</span><span class="nb">{</span>example<span class="nb">}</span>
</div><div id="l443" class="code_block"><span class="k">\end</span><span class="nb">{</span>minipage<span class="nb">}</span> <span class="k">\\</span>
</div><div id="l444" class="code_block">
</div><div id="l445" class="code_block"><span class="c">% - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -</span>
</div><div id="l446" class="code_block">
</div><div id="l447" class="code_block"><span class="k">\ournewitem</span><span class="nb">{</span>get<span class="k">\_calls\_for\_table</span>(+PredSpec,?Call)<span class="nb">}{</span>Tabling<span class="nb">}</span>
</div><div id="l448" class="code_block"><span class="k">\index</span><span class="nb">{{</span><span class="k">\tt</span> get<span class="k">\_calls\_for\_table</span>/2<span class="nb">}}</span>
</div><div id="l449" class="code_block"><span class="c">%</span>
</div><div id="l450" class="code_block">Identifies through backtracking all the subgoals whose predicate is
</div><div id="l451" class="code_block">that of <span class="k">\code</span><span class="nb">{</span>PredSpec<span class="nb">}</span> and which unify with <span class="k">\code</span><span class="nb">{</span>Call<span class="nb">}</span>.
</div><div id="l452" class="code_block"><span class="k">\code</span><span class="nb">{</span>PredSpec<span class="nb">}</span> is left unchanged while <span class="k">\code</span><span class="nb">{</span>Call<span class="nb">}</span> contains the
</div><div id="l453" class="code_block">unified resultant.
</div><div id="l454" class="code_block">
</div><div id="l455" class="code_block"><span class="k">\comment</span><span class="nb">{</span>Error if either <span class="k">\code</span><span class="nb">{</span>PredSpec<span class="nb">}</span> is a nontabled pred (STRUCTs
</div><div id="l456" class="code_block">and STRINGs are caught here) or a variable.  Fails if <span class="k">\code</span><span class="nb">{</span>PredSpec<span class="nb">}</span>
</div><div id="l457" class="code_block">is any other type or if <span class="k">\code</span><span class="nb">{</span>Call<span class="nb">}</span> does not unify with any call in
</div><div id="l458" class="code_block">the table.<span class="nb">}</span>
</div><div id="l459" class="code_block">
</div><div id="l460" class="code_block"><span class="k">\begin</span><span class="nb">{</span>minipage<span class="nb">}{</span>6.1in<span class="nb">}</span>
</div><div id="l461" class="code_block"><span class="k">\begin</span><span class="nb">{</span>example<span class="nb">}</span><span class="k">\</span> <span class="k">\\</span>
</div><div id="l462" class="code_block"><span class="k">\\</span>
</div><div id="l463" class="code_block"><span class="k">\hspace*</span><span class="nb">{</span>-0.5em<span class="nb">}</span><span class="k">\begin</span><span class="nb">{</span>tabular<span class="nb">}{</span>l@<span class="nb">{</span><span class="k">\hspace</span><span class="nb">{</span>1.5em<span class="nb">}}</span>r<span class="nb">}</span>
</div><div id="l464" class="code_block"><span class="k">\begin</span><span class="nb">{</span>tabular<span class="nb">}{</span>c<span class="nb">}</span> <span class="k">\hline</span> <span class="k">\hline</span>
</div><div id="l465" class="code_block"><span class="k">\rule</span><span class="nb">{</span>0ex<span class="nb">}{</span>2.5ex<span class="nb">}</span><span class="k">\textbf</span><span class="nb">{</span>Variant Predicate<span class="nb">}</span> <span class="k">\\</span> <span class="k">\hline</span> <span class="k">\hline</span>
</div><div id="l466" class="code_block"><span class="k">\vspace*</span><span class="nb">{</span>-1ex<span class="nb">}</span> <span class="k">\\</span>
</div><div id="l467" class="code_block"><span class="k">\begin</span><span class="nb">{</span>minipage<span class="nb">}{</span>17.35em<span class="nb">}</span>
</div><div id="l468" class="code_block"><span class="k">\begin</span><span class="nb">{</span>small<span class="nb">}</span>
</div><div id="l469" class="code_block"><span class="k">\begin</span><span class="nb">{</span>verbatim<span class="nb">}</span>
</div><div id="l470" class="code_block">|?- get<span class="nb">_</span>calls<span class="nb">_</span>for<span class="nb">_</span>table(p(1,3),Call).  
</div><div id="l471" class="code_block">
</div><div id="l472" class="code_block">Call = p(<span class="nb">_</span>h142,3);
</div><div id="l473" class="code_block">
</div><div id="l474" class="code_block">Call = p(1,<span class="nb">_</span>h143);
</div><div id="l475" class="code_block">
</div><div id="l476" class="code_block">no
</div><div id="l477" class="code_block">| ?- get<span class="nb">_</span>calls<span class="nb">_</span>for<span class="nb">_</span>table(p/2,Call).
</div><div id="l478" class="code_block">
</div><div id="l479" class="code_block">Call = p(<span class="nb">_</span>h137,3);
</div><div id="l480" class="code_block">
</div><div id="l481" class="code_block">Call = p(1,<span class="nb">_</span>h138);
</div><div id="l482" class="code_block">
</div><div id="l483" class="code_block">no
</div><div id="l484" class="code_block"><span class="k">\end</span><span class="nb">{</span>verbatim<span class="nb">}</span>
</div><div id="l485" class="code_block"><span class="k">\end</span><span class="nb">{</span>small<span class="nb">}</span>
</div><div id="l486" class="code_block"><span class="k">\end</span><span class="nb">{</span>minipage<span class="nb">}</span> <span class="k">\\</span>
</div><div id="l487" class="code_block"><span class="k">\vspace*</span><span class="nb">{</span>-1ex<span class="nb">}</span> <span class="k">\\</span> <span class="k">\hline</span> <span class="k">\hline</span>
</div><div id="l488" class="code_block"><span class="k">\end</span><span class="nb">{</span>tabular<span class="nb">}</span>
</div><div id="l489" class="code_block"> <span class="nb">&amp;</span>
</div><div id="l490" class="code_block"><span class="k">\begin</span><span class="nb">{</span>tabular<span class="nb">}{</span>c<span class="nb">}</span> <span class="k">\hline</span> <span class="k">\hline</span>
</div><div id="l491" class="code_block"><span class="k">\rule</span><span class="nb">{</span>0ex<span class="nb">}{</span>2.5ex<span class="nb">}</span><span class="k">\textbf</span><span class="nb">{</span>Subsumptive Predicate<span class="nb">}</span> <span class="k">\\</span> <span class="k">\hline</span> <span class="k">\hline</span>
</div><div id="l492" class="code_block"><span class="k">\vspace*</span><span class="nb">{</span>-1ex<span class="nb">}</span> <span class="k">\\</span>
</div><div id="l493" class="code_block"><span class="k">\begin</span><span class="nb">{</span>minipage<span class="nb">}{</span>17.85em<span class="nb">}</span>
</div><div id="l494" class="code_block"><span class="k">\begin</span><span class="nb">{</span>small<span class="nb">}</span>
</div><div id="l495" class="code_block"><span class="k">\begin</span><span class="nb">{</span>verbatim<span class="nb">}</span>
</div><div id="l496" class="code_block">| ?- get<span class="nb">_</span>calls<span class="nb">_</span>for<span class="nb">_</span>table(q(X,Y),Call). 
</div><div id="l497" class="code_block">
</div><div id="l498" class="code_block">X = <span class="nb">_</span>h80
</div><div id="l499" class="code_block">Y = <span class="nb">_</span>h94
</div><div id="l500" class="code_block">Call = q(a,<span class="nb">_</span>h167);
</div><div id="l501" class="code_block">
</div><div id="l502" class="code_block">X = <span class="nb">_</span>h80
</div><div id="l503" class="code_block">Y = <span class="nb">_</span>h94
</div><div id="l504" class="code_block">Call = q(<span class="nb">_</span>h166,c);
</div><div id="l505" class="code_block">
</div><div id="l506" class="code_block">X = <span class="nb">_</span>h80
</div><div id="l507" class="code_block">Y = <span class="nb">_</span>h94
</div><div id="l508" class="code_block">Call = q(<span class="nb">_</span>h166,<span class="nb">_</span>h167);
</div><div id="l509" class="code_block">
</div><div id="l510" class="code_block">no
</div><div id="l511" class="code_block"><span class="k">\end</span><span class="nb">{</span>verbatim<span class="nb">}</span>
</div><div id="l512" class="code_block"><span class="k">\end</span><span class="nb">{</span>small<span class="nb">}</span>
</div><div id="l513" class="code_block"><span class="k">\end</span><span class="nb">{</span>minipage<span class="nb">}</span> <span class="k">\\</span>
</div><div id="l514" class="code_block"><span class="k">\vspace*</span><span class="nb">{</span>-1ex<span class="nb">}</span> <span class="k">\\</span> <span class="k">\hline</span> <span class="k">\hline</span>
</div><div id="l515" class="code_block"><span class="k">\end</span><span class="nb">{</span>tabular<span class="nb">}</span>
</div><div id="l516" class="code_block"><span class="k">\end</span><span class="nb">{</span>tabular<span class="nb">}</span>
</div><div id="l517" class="code_block"><span class="k">\end</span><span class="nb">{</span>example<span class="nb">}</span>
</div><div id="l518" class="code_block"><span class="k">\end</span><span class="nb">{</span>minipage<span class="nb">}</span> <span class="k">\\</span>
</div><div id="l519" class="code_block">
</div><div id="l520" class="code_block"><span class="k">\comment</span><span class="nb">{</span>
</div><div id="l521" class="code_block">The second example backtracks through all entries in the table, since
</div><div id="l522" class="code_block">only skeletal information is used from the first argument.
</div><div id="l523" class="code_block"><span class="nb">}</span>
</div><div id="l524" class="code_block">
</div><div id="l525" class="code_block"><span class="c">% - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -</span>
</div><div id="l526" class="code_block">
</div><div id="l527" class="code_block"><span class="k">\ournewitem</span><span class="nb">{</span>get<span class="k">\_returns</span>(+TableEntryHandle,<span class="k">\#</span>ReturnSkeleton)<span class="nb">}{</span>Tabling<span class="nb">}</span>
</div><div id="l528" class="code_block"><span class="k">\index</span><span class="nb">{{</span><span class="k">\tt</span> get<span class="k">\_returns</span>/2<span class="nb">}}</span>
</div><div id="l529" class="code_block"><span class="c">%</span>
</div><div id="l530" class="code_block">Backtracks through the answers for the subgoal whose table entry is
</div><div id="l531" class="code_block">referenced through the first argument, <span class="k">\code</span><span class="nb">{</span>TableEntryHandle<span class="nb">}</span>, and
</div><div id="l532" class="code_block">instantiates <span class="k">\code</span><span class="nb">{</span>ReturnSkeleton<span class="nb">}</span> with the variable bindings
</div><div id="l533" class="code_block">corresponding to the return.
</div><div id="l534" class="code_block">
</div><div id="l535" class="code_block">The supplied values for the entry handle and return skeleton should be
</div><div id="l536" class="code_block">obtained from some previous invocation of a table-inspection
</div><div id="l537" class="code_block">predicate.
</div><div id="l538" class="code_block">
</div><div id="l539" class="code_block"><span class="k">\comment</span><span class="nb">{</span>See <span class="k">\code</span><span class="nb">{</span>get<span class="k">\_returns</span>/3<span class="nb">}</span> for error conditions.<span class="nb">}</span>
</div><div id="l540" class="code_block">
</div><div id="l541" class="code_block"><span class="k">\begin</span><span class="nb">{</span>minipage<span class="nb">}{</span>6in<span class="nb">}</span>
</div><div id="l542" class="code_block"><span class="k">\begin</span><span class="nb">{</span>example<span class="nb">}</span><span class="k">\</span> <span class="k">\\</span>
</div><div id="l543" class="code_block"><span class="k">\\</span>
</div><div id="l544" class="code_block"><span class="k">\begin</span><span class="nb">{</span>tabular<span class="nb">}{</span>l@<span class="nb">{</span><span class="k">\hspace</span><span class="nb">{</span>4em<span class="nb">}}</span>r<span class="nb">}</span>
</div><div id="l545" class="code_block"><span class="k">\begin</span><span class="nb">{</span>tabular<span class="nb">}{</span>c<span class="nb">}</span> <span class="k">\hline</span> <span class="k">\hline</span>
</div><div id="l546" class="code_block"><span class="k">\rule</span><span class="nb">{</span>0ex<span class="nb">}{</span>2.5ex<span class="nb">}</span><span class="k">\textbf</span><span class="nb">{</span>Variant Predicate<span class="nb">}</span> <span class="k">\\</span> <span class="k">\hline</span> <span class="k">\hline</span>
</div><div id="l547" class="code_block"><span class="k">\vspace*</span><span class="nb">{</span>-1ex<span class="nb">}</span> <span class="k">\\</span>
</div><div id="l548" class="code_block"><span class="k">\begin</span><span class="nb">{</span>minipage<span class="nb">}{</span>15em<span class="nb">}</span>
</div><div id="l549" class="code_block"><span class="k">\begin</span><span class="nb">{</span>small<span class="nb">}</span>
</div><div id="l550" class="code_block"><span class="k">\begin</span><span class="nb">{</span>verbatim<span class="nb">}</span>
</div><div id="l551" class="code_block">| ?- get<span class="nb">_</span>calls(p(X,3),Ent,Ret),
</div><div id="l552" class="code_block">     get<span class="nb">_</span>returns(Ent,Ret).
</div><div id="l553" class="code_block">
</div><div id="l554" class="code_block">X = 2
</div><div id="l555" class="code_block">Ent = 136039156    <span class="c">% p(X,3)</span>
</div><div id="l556" class="code_block">Ret = ret(2);
</div><div id="l557" class="code_block">
</div><div id="l558" class="code_block">X = 1
</div><div id="l559" class="code_block">Ent = 136039156    
</div><div id="l560" class="code_block">Ret = ret(1);
</div><div id="l561" class="code_block">
</div><div id="l562" class="code_block">X = 1
</div><div id="l563" class="code_block">Ent = 136039108    <span class="c">% p(1,Y)</span>
</div><div id="l564" class="code_block">Ret = ret(3);
</div><div id="l565" class="code_block">
</div><div id="l566" class="code_block">X = 1
</div><div id="l567" class="code_block">Ent = 136039108
</div><div id="l568" class="code_block">Ret = ret(3);
</div><div id="l569" class="code_block">
</div><div id="l570" class="code_block">no
</div><div id="l571" class="code_block"><span class="k">\end</span><span class="nb">{</span>verbatim<span class="nb">}</span>
</div><div id="l572" class="code_block"><span class="k">\end</span><span class="nb">{</span>small<span class="nb">}</span>
</div><div id="l573" class="code_block"><span class="k">\end</span><span class="nb">{</span>minipage<span class="nb">}</span> <span class="k">\\</span>
</div><div id="l574" class="code_block"><span class="k">\vspace*</span><span class="nb">{</span>-1ex<span class="nb">}</span> <span class="k">\\</span> <span class="k">\hline</span> <span class="k">\hline</span>
</div><div id="l575" class="code_block"><span class="k">\end</span><span class="nb">{</span>tabular<span class="nb">}</span>
</div><div id="l576" class="code_block"> <span class="nb">&amp;</span>
</div><div id="l577" class="code_block"><span class="k">\begin</span><span class="nb">{</span>tabular<span class="nb">}{</span>c<span class="nb">}</span> <span class="k">\hline</span> <span class="k">\hline</span>
</div><div id="l578" class="code_block"><span class="k">\rule</span><span class="nb">{</span>0ex<span class="nb">}{</span>2.5ex<span class="nb">}</span><span class="k">\textbf</span><span class="nb">{</span>Subsumptive Predicate<span class="nb">}</span> <span class="k">\\</span> <span class="k">\hline</span> <span class="k">\hline</span>
</div><div id="l579" class="code_block"><span class="k">\vspace*</span><span class="nb">{</span>-1ex<span class="nb">}</span> <span class="k">\\</span>
</div><div id="l580" class="code_block"><span class="k">\begin</span><span class="nb">{</span>minipage<span class="nb">}{</span>15em<span class="nb">}</span>
</div><div id="l581" class="code_block"><span class="k">\begin</span><span class="nb">{</span>small<span class="nb">}</span>
</div><div id="l582" class="code_block"><span class="k">\begin</span><span class="nb">{</span>verbatim<span class="nb">}</span>
</div><div id="l583" class="code_block">| ?- get<span class="nb">_</span>calls(q(a,c),Ent,Ret),
</div><div id="l584" class="code_block">     get<span class="nb">_</span>returns(Ent,Ret).
</div><div id="l585" class="code_block">
</div><div id="l586" class="code_block">Ent = 136069412    <span class="c">% q(a,Y)</span>
</div><div id="l587" class="code_block">Ret = ret(a,c);
</div><div id="l588" class="code_block">
</div><div id="l589" class="code_block">Ent = 136069444    <span class="c">% q(X,c)</span>
</div><div id="l590" class="code_block">Ret = ret(a,c);
</div><div id="l591" class="code_block">
</div><div id="l592" class="code_block">Ent = 136043988    <span class="c">% q(X,Y)</span>
</div><div id="l593" class="code_block">Ret = ret(a,c);
</div><div id="l594" class="code_block">
</div><div id="l595" class="code_block">no
</div><div id="l596" class="code_block">| ?- get<span class="nb">_</span>calls(q(c,a),Ent,Ret),
</div><div id="l597" class="code_block">     get<span class="nb">_</span>returns(Ent,Ret).
</div><div id="l598" class="code_block">
</div><div id="l599" class="code_block">no
</div><div id="l600" class="code_block"><span class="k">\end</span><span class="nb">{</span>verbatim<span class="nb">}</span>
</div><div id="l601" class="code_block"><span class="k">\end</span><span class="nb">{</span>small<span class="nb">}</span>
</div><div id="l602" class="code_block"><span class="k">\end</span><span class="nb">{</span>minipage<span class="nb">}</span> <span class="k">\\</span>
</div><div id="l603" class="code_block"><span class="k">\vspace*</span><span class="nb">{</span>-1ex<span class="nb">}</span> <span class="k">\\</span> <span class="k">\hline</span> <span class="k">\hline</span>
</div><div id="l604" class="code_block"><span class="k">\end</span><span class="nb">{</span>tabular<span class="nb">}</span>
</div><div id="l605" class="code_block"><span class="k">\end</span><span class="nb">{</span>tabular<span class="nb">}</span>
</div><div id="l606" class="code_block"><span class="k">\end</span><span class="nb">{</span>example<span class="nb">}</span>
</div><div id="l607" class="code_block"><span class="k">\end</span><span class="nb">{</span>minipage<span class="nb">}</span> <span class="k">\\</span>
</div><div id="l608" class="code_block">
</div><div id="l609" class="code_block"><span class="c">% - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -</span>
</div><div id="l610" class="code_block">
</div><div id="l611" class="code_block"><span class="k">\ournewitem</span><span class="nb">{</span>get<span class="k">\_returns</span>(+TableEntryHandle,<span class="k">\#</span>ReturnSkeleton,-ReturnHandle)<span class="nb">}{</span>Tabling<span class="nb">}</span>
</div><div id="l612" class="code_block"><span class="k">\index</span><span class="nb">{{</span><span class="k">\tt</span> get<span class="k">\_returns</span>/3<span class="nb">}}</span>
</div><div id="l613" class="code_block"><span class="c">%</span>
</div><div id="l614" class="code_block">Functions identically to <span class="k">\code</span><span class="nb">{</span>get<span class="k">\_returns</span>/2<span class="nb">}</span>, but also obtains a
</div><div id="l615" class="code_block">handle to the return given in the second argument.
</div><div id="l616" class="code_block">
</div><div id="l617" class="code_block"><span class="k">\comment</span><span class="nb">{</span>Currently, this builtin fails if <span class="k">\code</span><span class="nb">{</span>ReturnSkeleton<span class="nb">}</span> is not
</div><div id="l618" class="code_block">of the form ret(t1,...,tk) or if either k is too small or
</div><div id="l619" class="code_block"><span class="k">\code</span><span class="nb">{</span>ReturnSkeleton<span class="nb">}</span> does not unify with any answer.  However, an error
</div><div id="l620" class="code_block">results if (1) <span class="k">\code</span><span class="nb">{</span>TableEntryHandle<span class="nb">}</span> is not a valid pointer (memory
</div><div id="l621" class="code_block">violation); (2) <span class="k">\code</span><span class="nb">{</span>ReturnSkeleton<span class="nb">}</span> contains too many terms (if k is
</div><div id="l622" class="code_block">too big, then the extra terms are ignored, but this gives the illusion
</div><div id="l623" class="code_block">of a larger than actual substitution); or (3) <span class="k">\code</span><span class="nb">{</span>ReturnHandle<span class="nb">}</span> is
</div><div id="l624" class="code_block">already instantiated.<span class="nb">}</span>
</div><div id="l625" class="code_block">
</div><div id="l626" class="code_block"><span class="c">% - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -</span>
</div><div id="l627" class="code_block">
</div><div id="l628" class="code_block"><span class="k">\ournewitem</span><span class="nb">{</span>get<span class="k">\_returns\_for\_call</span>(+CallTerm,?AnswerTerm)<span class="nb">}{</span>Tabling<span class="nb">}</span>
</div><div id="l629" class="code_block"><span class="k">\index</span><span class="nb">{{</span><span class="k">\tt</span> get<span class="k">\_returns\_for\_call</span>/2<span class="nb">}}</span>
</div><div id="l630" class="code_block"><span class="c">%</span>
</div><div id="l631" class="code_block">Succeeds through backtracking for each answer of the subgoal
</div><div id="l632" class="code_block"><span class="k">\code</span><span class="nb">{</span>CallTerm<span class="nb">}</span> which unifies with <span class="k">\code</span><span class="nb">{</span>AnswerTerm<span class="nb">}</span>.  Fails if
</div><div id="l633" class="code_block"><span class="k">\code</span><span class="nb">{</span>CallTerm<span class="nb">}</span> is not a subgoal in the table or <span class="k">\code</span><span class="nb">{</span>AnswerTerm<span class="nb">}</span>
</div><div id="l634" class="code_block">does not unify with any of its answers or the answer set is empty.
</div><div id="l635" class="code_block">
</div><div id="l636" class="code_block">The answer is created in its entirety, including fresh variables; the
</div><div id="l637" class="code_block">call is <span class="k">\emph</span><span class="nb">{</span>not<span class="nb">}</span> further instantiated.  However, an explicit
</div><div id="l638" class="code_block">unification of the call with its answer may be performed if so
</div><div id="l639" class="code_block">desired.
</div><div id="l640" class="code_block">
</div><div id="l641" class="code_block"><span class="k">\comment</span><span class="nb">{</span>Fails or gives error whenever <span class="k">\code</span><span class="nb">{</span>get<span class="nb">_</span>call/3<span class="nb">}</span> does.<span class="nb">}</span>
</div><div id="l642" class="code_block">
</div><div id="l643" class="code_block"><span class="k">\begin</span><span class="nb">{</span>minipage<span class="nb">}{</span>6.1in<span class="nb">}</span>
</div><div id="l644" class="code_block"><span class="k">\begin</span><span class="nb">{</span>example<span class="nb">}</span><span class="k">\</span> <span class="k">\\</span>
</div><div id="l645" class="code_block"><span class="k">\\</span>
</div><div id="l646" class="code_block"><span class="k">\hspace*</span><span class="nb">{</span>-0.5em<span class="nb">}</span><span class="k">\begin</span><span class="nb">{</span>tabular<span class="nb">}{</span>l@<span class="nb">{</span><span class="k">\hspace</span><span class="nb">{</span>2.5em<span class="nb">}}</span>r<span class="nb">}</span>
</div><div id="l647" class="code_block"><span class="k">\begin</span><span class="nb">{</span>tabular<span class="nb">}{</span>c<span class="nb">}</span> <span class="k">\hline</span> <span class="k">\hline</span>
</div><div id="l648" class="code_block"><span class="k">\rule</span><span class="nb">{</span>0ex<span class="nb">}{</span>2.5ex<span class="nb">}</span><span class="k">\textbf</span><span class="nb">{</span>Variant Predicate<span class="nb">}</span> <span class="k">\\</span> <span class="k">\hline</span> <span class="k">\hline</span>
</div><div id="l649" class="code_block"><span class="k">\vspace*</span><span class="nb">{</span>-1ex<span class="nb">}</span> <span class="k">\\</span>
</div><div id="l650" class="code_block"><span class="k">\begin</span><span class="nb">{</span>minipage<span class="nb">}{</span>16.5em<span class="nb">}</span>
</div><div id="l651" class="code_block"><span class="k">\begin</span><span class="nb">{</span>small<span class="nb">}</span>
</div><div id="l652" class="code_block"><span class="k">\begin</span><span class="nb">{</span>verbatim<span class="nb">}</span>
</div><div id="l653" class="code_block">| ?- get<span class="nb">_</span>returns<span class="nb">_</span>for<span class="nb">_</span>call(p(1,Y),
</div><div id="l654" class="code_block">                          AnsTerm).
</div><div id="l655" class="code_block">
</div><div id="l656" class="code_block">Y = <span class="nb">_</span>h88
</div><div id="l657" class="code_block">AnsTerm = p(1,<span class="nb">_</span>h161);
</div><div id="l658" class="code_block">
</div><div id="l659" class="code_block">Y = <span class="nb">_</span>h88
</div><div id="l660" class="code_block">AnsTerm = p(1,3);
</div><div id="l661" class="code_block">
</div><div id="l662" class="code_block">Y = <span class="nb">_</span>h88
</div><div id="l663" class="code_block">AnsTerm = p(1,2);
</div><div id="l664" class="code_block">
</div><div id="l665" class="code_block">no
</div><div id="l666" class="code_block">| ?- get<span class="nb">_</span>returns<span class="nb">_</span>for<span class="nb">_</span>call(p(X,Y),
</div><div id="l667" class="code_block">                          AnsTerm).
</div><div id="l668" class="code_block">
</div><div id="l669" class="code_block">no
</div><div id="l670" class="code_block">| ?- get<span class="nb">_</span>returns<span class="nb">_</span>for<span class="nb">_</span>call(p(1,2),
</div><div id="l671" class="code_block">                          AnsTerm).
</div><div id="l672" class="code_block">
</div><div id="l673" class="code_block">no
</div><div id="l674" class="code_block"><span class="k">\end</span><span class="nb">{</span>verbatim<span class="nb">}</span>
</div><div id="l675" class="code_block"><span class="k">\end</span><span class="nb">{</span>small<span class="nb">}</span>
</div><div id="l676" class="code_block"><span class="k">\end</span><span class="nb">{</span>minipage<span class="nb">}</span> <span class="k">\\</span>
</div><div id="l677" class="code_block"><span class="k">\vspace*</span><span class="nb">{</span>-1ex<span class="nb">}</span> <span class="k">\\</span> <span class="k">\hline</span> <span class="k">\hline</span>
</div><div id="l678" class="code_block"><span class="k">\end</span><span class="nb">{</span>tabular<span class="nb">}</span>
</div><div id="l679" class="code_block"> <span class="nb">&amp;</span>
</div><div id="l680" class="code_block"><span class="k">\begin</span><span class="nb">{</span>tabular<span class="nb">}{</span>c<span class="nb">}</span> <span class="k">\hline</span> <span class="k">\hline</span>
</div><div id="l681" class="code_block"><span class="k">\rule</span><span class="nb">{</span>0ex<span class="nb">}{</span>2.5ex<span class="nb">}</span><span class="k">\textbf</span><span class="nb">{</span>Subsumptive Predicate<span class="nb">}</span> <span class="k">\\</span> <span class="k">\hline</span> <span class="k">\hline</span>
</div><div id="l682" class="code_block"><span class="k">\vspace*</span><span class="nb">{</span>-1ex<span class="nb">}</span> <span class="k">\\</span>
</div><div id="l683" class="code_block"><span class="k">\begin</span><span class="nb">{</span>minipage<span class="nb">}{</span>16.5em<span class="nb">}</span>
</div><div id="l684" class="code_block"><span class="k">\begin</span><span class="nb">{</span>small<span class="nb">}</span>
</div><div id="l685" class="code_block"><span class="k">\begin</span><span class="nb">{</span>verbatim<span class="nb">}</span>
</div><div id="l686" class="code_block">| ?- get<span class="nb">_</span>returns<span class="nb">_</span>for<span class="nb">_</span>call(q(a,Y),
</div><div id="l687" class="code_block">                          AnsTerm).
</div><div id="l688" class="code_block">
</div><div id="l689" class="code_block">Y = <span class="nb">_</span>h88
</div><div id="l690" class="code_block">AnsTerm = q(a,c);
</div><div id="l691" class="code_block">
</div><div id="l692" class="code_block">Y = <span class="nb">_</span>h88
</div><div id="l693" class="code_block">AnsTerm = q(a,b);
</div><div id="l694" class="code_block">
</div><div id="l695" class="code_block">no
</div><div id="l696" class="code_block">| ?- get<span class="nb">_</span>returns<span class="nb">_</span>for<span class="nb">_</span>call(q(X,c),
</div><div id="l697" class="code_block">                          AnsTerm).
</div><div id="l698" class="code_block">
</div><div id="l699" class="code_block">X = <span class="nb">_</span>h80
</div><div id="l700" class="code_block">AnsTerm = q(b,c);
</div><div id="l701" class="code_block">
</div><div id="l702" class="code_block">X = <span class="nb">_</span>h80
</div><div id="l703" class="code_block">AnsTerm = q(a,c);
</div><div id="l704" class="code_block">
</div><div id="l705" class="code_block">no
</div><div id="l706" class="code_block"><span class="k">\end</span><span class="nb">{</span>verbatim<span class="nb">}</span>
</div><div id="l707" class="code_block"><span class="k">\end</span><span class="nb">{</span>small<span class="nb">}</span>
</div><div id="l708" class="code_block"><span class="k">\end</span><span class="nb">{</span>minipage<span class="nb">}</span> <span class="k">\\</span>
</div><div id="l709" class="code_block"><span class="k">\vspace*</span><span class="nb">{</span>-1ex<span class="nb">}</span> <span class="k">\\</span> <span class="k">\hline</span> <span class="k">\hline</span>
</div><div id="l710" class="code_block"><span class="k">\end</span><span class="nb">{</span>tabular<span class="nb">}</span>
</div><div id="l711" class="code_block"><span class="k">\end</span><span class="nb">{</span>tabular<span class="nb">}</span>
</div><div id="l712" class="code_block"><span class="k">\end</span><span class="nb">{</span>example<span class="nb">}</span>
</div><div id="l713" class="code_block"><span class="k">\end</span><span class="nb">{</span>minipage<span class="nb">}</span> <span class="k">\\</span>
</div><div id="l714" class="code_block">
</div><div id="l715" class="code_block"><span class="c">% - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -</span>
</div><div id="l716" class="code_block">
</div><div id="l717" class="code_block"><span class="k">\ournewitem</span><span class="nb">{</span>get<span class="k">\_residual</span>(<span class="k">\#</span>CallTerm,?DelayList)<span class="nb">}{</span>Tabling<span class="nb">}</span>
</div><div id="l718" class="code_block"><span class="k">\index</span><span class="nb">{{</span><span class="k">\tt</span> get<span class="k">\_residual</span>/2<span class="nb">}}</span>
</div><div id="l719" class="code_block"><span class="c">%</span>
</div><div id="l720" class="code_block">Backtracks through the answer set of each <span class="k">\emph</span><span class="nb">{</span>completed<span class="nb">}</span> subgoal in
</div><div id="l721" class="code_block">the table which unifies with <span class="k">\code</span><span class="nb">{</span>CallTerm<span class="nb">}</span>.  With each successful
</div><div id="l722" class="code_block">unification, this argument is further instantiated as well as that of
</div><div id="l723" class="code_block">the <span class="k">\code</span><span class="nb">{</span>DelayList<span class="nb">}</span>.
</div><div id="l724" class="code_block">
</div><div id="l725" class="code_block"><span class="k">\begin</span><span class="nb">{</span>example<span class="nb">}</span>
</div><div id="l726" class="code_block">For the following program and table
</div><div id="l727" class="code_block">     <span class="k">\begin</span><span class="nb">{</span>center<span class="nb">}</span>
</div><div id="l728" class="code_block">     <span class="k">\begin</span><span class="nb">{</span>tabular<span class="nb">}{</span>cc<span class="nb">}</span>
</div><div id="l729" class="code_block">     <span class="k">\begin</span><span class="nb">{</span>minipage<span class="nb">}{</span>2.1in<span class="nb">}</span>
</div><div id="l730" class="code_block">     <span class="nb">{</span><span class="k">\tt</span>
</div><div id="l731" class="code_block">          :- table p/2.	<span class="k">\\</span>
</div><div id="l732" class="code_block">	  p(1,2). <span class="k">\\</span>
</div><div id="l733" class="code_block">	  p(1,3):- tnot(p(2,3)). <span class="k">\\</span>
</div><div id="l734" class="code_block">	  p(2,3):- tnot(p(1,3)). 
</div><div id="l735" class="code_block">     <span class="nb">}</span>
</div><div id="l736" class="code_block">     <span class="k">\end</span><span class="nb">{</span>minipage<span class="nb">}</span>
</div><div id="l737" class="code_block">     <span class="nb">&amp;</span>
</div><div id="l738" class="code_block">     <span class="k">\begin</span><span class="nb">{</span>tabular<span class="nb">}{</span>||l|l||<span class="nb">}</span>   <span class="k">\hline</span>
</div><div id="l739" class="code_block">     <span class="nb">{</span><span class="k">\em</span> Call<span class="nb">}</span>			<span class="nb">&amp;</span> <span class="nb">{</span><span class="k">\em</span> Returns<span class="nb">}</span> <span class="k">\\</span> <span class="k">\hline</span> <span class="k">\hline</span>
</div><div id="l740" class="code_block">     p(1,X)			<span class="nb">&amp;</span> p(1,2) <span class="k">\\</span> 
</div><div id="l741" class="code_block"> 	       			<span class="nb">&amp;</span> p(1,3):- tnot(p(2,3)) <span class="k">\\</span> <span class="k">\hline</span>
</div><div id="l742" class="code_block">     p(1,3)			<span class="nb">&amp;</span> p(1,3):- tnot(p(2,3)) <span class="k">\\</span> <span class="k">\hline</span>
</div><div id="l743" class="code_block">     p(2,3)			<span class="nb">&amp;</span> p(2,3):- tnot(p(1,3)) <span class="k">\\</span> <span class="k">\hline</span>
</div><div id="l744" class="code_block">     <span class="k">\end</span><span class="nb">{</span>tabular<span class="nb">}</span>
</div><div id="l745" class="code_block">     <span class="k">\end</span><span class="nb">{</span>tabular<span class="nb">}</span>
</div><div id="l746" class="code_block">     <span class="k">\end</span><span class="nb">{</span>center<span class="nb">}</span>
</div><div id="l747" class="code_block">the completed subgoals are <span class="nb">{</span><span class="k">\tt</span> p(1,X)<span class="nb">}</span>, <span class="nb">{</span><span class="k">\tt</span> p(1,3)<span class="nb">}</span>, and <span class="nb">{</span><span class="k">\tt</span>
</div><div id="l748" class="code_block">p(2,3)<span class="nb">}</span>.  Calls to <span class="nb">{</span><span class="k">\tt</span> get<span class="k">\_residual</span>/2<span class="nb">}</span> will act as follows
</div><div id="l749" class="code_block"><span class="c">%</span>
</div><div id="l750" class="code_block"><span class="k">\begin</span><span class="nb">{</span>center<span class="nb">}</span>
</div><div id="l751" class="code_block"><span class="k">\begin</span><span class="nb">{</span>small<span class="nb">}</span>
</div><div id="l752" class="code_block"><span class="k">\begin</span><span class="nb">{</span>minipage<span class="nb">}{</span>2.5in<span class="nb">}</span>
</div><div id="l753" class="code_block"><span class="k">\begin</span><span class="nb">{</span>verbatim<span class="nb">}</span> 
</div><div id="l754" class="code_block">| ?- get<span class="nb">_</span>residual(p(X,Y),List).
</div><div id="l755" class="code_block">
</div><div id="l756" class="code_block">X = 1       <span class="c">% from subgoal p(1,X)</span>
</div><div id="l757" class="code_block">Y = 2
</div><div id="l758" class="code_block">List = [];
</div><div id="l759" class="code_block">
</div><div id="l760" class="code_block">X = 1       <span class="c">% from subgoal p(1,X)</span>
</div><div id="l761" class="code_block">Y = 3
</div><div id="l762" class="code_block">List = [tnot(p(2,3))];
</div><div id="l763" class="code_block">
</div><div id="l764" class="code_block">X = 1       <span class="c">% from subgoal p(1,3)</span>
</div><div id="l765" class="code_block">Y = 3
</div><div id="l766" class="code_block">List = [tnot(p(2,3))];
</div><div id="l767" class="code_block">
</div><div id="l768" class="code_block">X = 2       <span class="c">% from subgoal p(2,3)</span>
</div><div id="l769" class="code_block">Y = 3
</div><div id="l770" class="code_block">List = [tnot(p(1,3))];
</div><div id="l771" class="code_block">
</div><div id="l772" class="code_block">no
</div><div id="l773" class="code_block"><span class="k">\end</span><span class="nb">{</span>verbatim<span class="nb">}</span>
</div><div id="l774" class="code_block"><span class="k">\end</span><span class="nb">{</span>minipage<span class="nb">}</span>
</div><div id="l775" class="code_block"><span class="k">\end</span><span class="nb">{</span>small<span class="nb">}</span>
</div><div id="l776" class="code_block"><span class="k">\end</span><span class="nb">{</span>center<span class="nb">}</span>
</div><div id="l777" class="code_block"><span class="k">\end</span><span class="nb">{</span>example<span class="nb">}</span>
</div><div id="l778" class="code_block">
</div><div id="l779" class="code_block">Since the delay list of an answer consists of those literals whose
</div><div id="l780" class="code_block">truth value is unknown in the well-founded model of the program (see
</div><div id="l781" class="code_block">Chapter~<span class="k">\ref</span><span class="nb">{</span>chap:TablingOverview<span class="nb">}</span>) <span class="k">\code</span><span class="nb">{</span>get<span class="k">\_residual</span>/2<span class="nb">}</span> can be
</div><div id="l782" class="code_block">useful when extensions of the well-founded model are desired.
</div><div id="l783" class="code_block">
</div><div id="l784" class="code_block"><span class="c">% - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -</span>
</div><div id="l785" class="code_block">
</div><div id="l786" class="code_block"><span class="k">\ouritem</span><span class="nb">{</span>table<span class="k">\_state</span>(+CallTerm,?PredType,?CallType,?AnsSetStatus)<span class="nb">}</span>
</div><div id="l787" class="code_block">
</div><div id="l788" class="code_block"><span class="k">\vspace</span><span class="nb">{</span>-5ex<span class="nb">}</span>
</div><div id="l789" class="code_block">
</div><div id="l790" class="code_block"><span class="k">\ournewitem</span><span class="nb">{</span>table<span class="k">\_state</span>(+TableEntryHandle,?PredType,?CallType,?AnsSetStatus)<span class="nb">}{</span>Tabling<span class="nb">}</span>
</div><div id="l791" class="code_block"><span class="k">\index</span><span class="nb">{{</span><span class="k">\tt</span> table<span class="k">\_state</span>/4<span class="nb">}}</span>
</div><div id="l792" class="code_block"><span class="c">%</span>
</div><div id="l793" class="code_block">Succeeds whenever <span class="k">\code</span><span class="nb">{</span>CallTerm<span class="nb">}</span> is a subgoal in the table, or
</div><div id="l794" class="code_block"><span class="k">\code</span><span class="nb">{</span>TableEntryHandle<span class="nb">}</span> is a valid reference to a table entry, and its
</div><div id="l795" class="code_block">predicate type, the type of the call, and the status of its answer
</div><div id="l796" class="code_block">set, unify with arguments 2 through 4, respectively.
</div><div id="l797" class="code_block">
</div><div id="l798" class="code_block">XSB defines three sets of atomic constants, one for each parameter.
</div><div id="l799" class="code_block">Taken together, they provide a detailed description of the given call.
</div><div id="l800" class="code_block">The valid combinations and their specific meaning is given in the
</div><div id="l801" class="code_block">following table.  Notice that not only can these combinations describe
</div><div id="l802" class="code_block">the characteristics of a subgoal in the table, but they are also
</div><div id="l803" class="code_block">equipped to predict how a new goal would have been treated had it been
</div><div id="l804" class="code_block">called at that moment.
</div><div id="l805" class="code_block">
</div><div id="l806" class="code_block"><span class="k">\begin</span><span class="nb">{</span>center<span class="nb">}</span>
</div><div id="l807" class="code_block"><span class="k">\begin</span><span class="nb">{</span>small<span class="nb">}</span>
</div><div id="l808" class="code_block"><span class="k">\begin</span><span class="nb">{</span>tabular<span class="nb">}{</span>|c|c|l|l|<span class="nb">}</span> <span class="k">\hline</span>
</div><div id="l809" class="code_block"><span class="k">\code</span><span class="nb">{</span>PredType<span class="nb">}</span>	<span class="nb">&amp;</span> <span class="k">\code</span><span class="nb">{</span>CallType<span class="nb">}</span>	<span class="nb">&amp;</span> <span class="k">\code</span><span class="nb">{</span>AnsSetStatus<span class="nb">}</span>
</div><div id="l810" class="code_block">		<span class="nb">&amp;</span> <span class="k">\multicolumn</span><span class="nb">{</span>1<span class="nb">}{</span>c|<span class="nb">}{</span>Description<span class="nb">}</span> <span class="k">\\</span> <span class="k">\hline</span> <span class="k">\hline</span>
</div><div id="l811" class="code_block">	<span class="nb">&amp;</span>	<span class="nb">&amp;</span> <span class="k">\code</span><span class="nb">{</span>complete<span class="nb">}</span>	<span class="nb">&amp;</span> Self explanatory. <span class="k">\\</span> <span class="k">\cline</span><span class="nb">{</span>3-4<span class="nb">}</span>
</div><div id="l812" class="code_block"><span class="k">\code</span><span class="nb">{</span>variant<span class="nb">}</span>  <span class="nb">&amp;</span> <span class="k">\raisebox</span><span class="nb">{</span>1.5ex<span class="nb">}</span>[0ex]<span class="nb">{</span><span class="k">\code</span><span class="nb">{</span>producer<span class="nb">}}</span> <span class="nb">&amp;</span> <span class="k">\code</span><span class="nb">{</span>incomplete<span class="nb">}</span>
</div><div id="l813" class="code_block">		<span class="nb">&amp;</span> Self explanatory. <span class="k">\\</span> <span class="k">\cline</span><span class="nb">{</span>2-4<span class="nb">}</span>
</div><div id="l814" class="code_block">	<span class="nb">&amp;</span> <span class="k">\code</span><span class="nb">{</span>no<span class="k">\_entry</span><span class="nb">}</span>	<span class="nb">&amp;</span> <span class="k">\code</span><span class="nb">{</span>undefined<span class="nb">}</span>
</div><div id="l815" class="code_block">		<span class="nb">&amp;</span> The call does not appear in the table. <span class="k">\\</span> <span class="k">\hline</span>
</div><div id="l816" class="code_block">	<span class="nb">&amp;</span>	<span class="nb">&amp;</span> <span class="k">\code</span><span class="nb">{</span>complete<span class="nb">}</span> <span class="nb">&amp;</span> Self explanatory. <span class="k">\\</span> <span class="k">\cline</span><span class="nb">{</span>3-4<span class="nb">}</span>
</div><div id="l817" class="code_block">	<span class="nb">&amp;</span> <span class="k">\raisebox</span><span class="nb">{</span>1.5ex<span class="nb">}</span>[0ex]<span class="nb">{</span><span class="k">\code</span><span class="nb">{</span>producer<span class="nb">}}</span>	<span class="nb">&amp;</span> <span class="k">\code</span><span class="nb">{</span>incomplete<span class="nb">}</span>
</div><div id="l818" class="code_block">		<span class="nb">&amp;</span> Self explanatory. <span class="k">\\</span> <span class="k">\cline</span><span class="nb">{</span>2-4<span class="nb">}</span>
</div><div id="l819" class="code_block">	<span class="nb">&amp;</span>	<span class="nb">&amp;</span>	<span class="nb">&amp;</span> The call is in the table and is properly <span class="k">\\</span>
</div><div id="l820" class="code_block">	<span class="nb">&amp;</span>	<span class="nb">&amp;</span> <span class="k">\raisebox</span><span class="nb">{</span>1.5ex<span class="nb">}</span>[0ex]<span class="nb">{</span><span class="k">\code</span><span class="nb">{</span>complete<span class="nb">}}</span>
</div><div id="l821" class="code_block">		<span class="nb">&amp;</span> subsumed by a completed producer. <span class="k">\\</span> <span class="k">\cline</span><span class="nb">{</span>3-4<span class="nb">}</span>
</div><div id="l822" class="code_block">	<span class="nb">&amp;</span>  <span class="k">\raisebox</span><span class="nb">{</span>1.5ex<span class="nb">}</span>[0ex]<span class="nb">{</span><span class="k">\code</span><span class="nb">{</span>subsumed<span class="nb">}}</span>
</div><div id="l823" class="code_block">		<span class="nb">&amp;</span>	<span class="nb">&amp;</span> The call is in the table and is properly <span class="k">\\</span>
</div><div id="l824" class="code_block">	<span class="nb">&amp;</span>	<span class="nb">&amp;</span> <span class="k">\raisebox</span><span class="nb">{</span>1.5ex<span class="nb">}</span>[0ex]<span class="nb">{</span><span class="k">\code</span><span class="nb">{</span>incomplete<span class="nb">}}</span>
</div><div id="l825" class="code_block">		<span class="nb">&amp;</span> subsumed by an incomplete producer. <span class="k">\\</span> <span class="k">\cline</span><span class="nb">{</span>2-4<span class="nb">}</span>
</div><div id="l826" class="code_block">	<span class="nb">&amp;</span>	<span class="nb">&amp;</span>	<span class="nb">&amp;</span> The call is not in the table, but if it were <span class="k">\\</span>
</div><div id="l827" class="code_block"><span class="k">\code</span><span class="nb">{</span>subsumptive<span class="nb">}</span>	<span class="nb">&amp;</span>	<span class="nb">&amp;</span> <span class="k">\code</span><span class="nb">{</span>complete<span class="nb">}</span>
</div><div id="l828" class="code_block">		<span class="nb">&amp;</span> to be called, it would consume from a <span class="k">\\</span>
</div><div id="l829" class="code_block">	<span class="nb">&amp;</span>	<span class="nb">&amp;</span>	<span class="nb">&amp;</span> completed producer. <span class="k">\\</span> <span class="k">\cline</span><span class="nb">{</span>3-4<span class="nb">}</span>
</div><div id="l830" class="code_block">	<span class="nb">&amp;</span>	<span class="nb">&amp;</span>	<span class="nb">&amp;</span> The call is not in the table, but if it had <span class="k">\\</span>
</div><div id="l831" class="code_block">	<span class="nb">&amp;</span> <span class="k">\code</span><span class="nb">{</span>no<span class="k">\_entry</span><span class="nb">}</span>	<span class="nb">&amp;</span> <span class="k">\code</span><span class="nb">{</span>incomplete<span class="nb">}</span>
</div><div id="l832" class="code_block">		<span class="nb">&amp;</span> been called at this moment, it would <span class="k">\\</span>
</div><div id="l833" class="code_block">	<span class="nb">&amp;</span>	<span class="nb">&amp;</span>	<span class="nb">&amp;</span> consume from an incomplete producer. <span class="k">\\</span> <span class="k">\cline</span><span class="nb">{</span>3-4<span class="nb">}</span>
</div><div id="l834" class="code_block">	<span class="nb">&amp;</span>	<span class="nb">&amp;</span>	<span class="nb">&amp;</span> The call is not in the table, but if it had <span class="k">\\</span>
</div><div id="l835" class="code_block">	<span class="nb">&amp;</span>   <span class="nb">&amp;</span> <span class="k">\code</span><span class="nb">{</span>undefined<span class="nb">}</span>   <span class="nb">&amp;</span> been called at this moment, it would be <span class="k">\\</span>
</div><div id="l836" class="code_block">	<span class="nb">&amp;</span>	<span class="nb">&amp;</span>	<span class="nb">&amp;</span> a producer. <span class="k">\\</span> <span class="k">\hline</span>
</div><div id="l837" class="code_block"><span class="k">\code</span><span class="nb">{</span>undefined<span class="nb">}</span>	<span class="nb">&amp;</span> <span class="k">\code</span><span class="nb">{</span>undefined<span class="nb">}</span>	<span class="nb">&amp;</span> <span class="k">\code</span><span class="nb">{</span>undefined<span class="nb">}</span>
</div><div id="l838" class="code_block">		<span class="nb">&amp;</span> The given predicate is not tabled. <span class="k">\\</span> <span class="k">\hline</span>
</div><div id="l839" class="code_block"><span class="k">\end</span><span class="nb">{</span>tabular<span class="nb">}</span>
</div><div id="l840" class="code_block"><span class="k">\end</span><span class="nb">{</span>small<span class="nb">}</span>
</div><div id="l841" class="code_block"><span class="k">\end</span><span class="nb">{</span>center<span class="nb">}</span>
</div><div id="l842" class="code_block">
</div><div id="l843" class="code_block"><span class="c">% - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -</span>
</div><div id="l844" class="code_block">
</div><div id="l845" class="code_block"><span class="k">\comment</span><span class="nb">{</span>
</div><div id="l846" class="code_block"><span class="k">\ournewitem</span><span class="nb">{</span>table<span class="k">\_state</span>(+CallTerm,?State)<span class="nb">}{</span>Tabling<span class="nb">}</span>
</div><div id="l847" class="code_block"><span class="k">\index</span><span class="nb">{{</span><span class="k">\tt</span> table<span class="k">\_state</span>/2<span class="nb">}}</span>
</div><div id="l848" class="code_block"><span class="c">%</span>
</div><div id="l849" class="code_block">Functions similarly to, and is superseded by, <span class="k">\code</span><span class="nb">{</span>table<span class="k">\_state</span>/4<span class="nb">}</span>.
</div><div id="l850" class="code_block">The value of <span class="k">\code</span><span class="nb">{</span>State<span class="nb">}</span> may be one of the following atoms with the
</div><div id="l851" class="code_block">given meaning.
</div><div id="l852" class="code_block"><span class="c">%</span>
</div><div id="l853" class="code_block"><span class="k">\begin</span><span class="nb">{</span>description<span class="nb">}</span>
</div><div id="l854" class="code_block"><span class="k">\item</span><span class="na">[{\tt not\_yet\_called}]</span> iff the predicate corresponding to
</div><div id="l855" class="code_block">Call has been declared tabled, but there is no table entry for call.
</div><div id="l856" class="code_block"><span class="k">\item</span><span class="na">[{\tt complete}]</span> iff the table entry for <span class="nb">{</span><span class="k">\tt</span> Call<span class="nb">}</span> contains
</div><div id="l857" class="code_block">all solutions.
</div><div id="l858" class="code_block"><span class="k">\item</span><span class="na">[{\tt incomplete}]</span> iff the table entry for <span class="nb">{</span><span class="k">\tt</span> Call<span class="nb">}</span> may not contain
</div><div id="l859" class="code_block">all solutions.
</div><div id="l860" class="code_block"><span class="k">\item</span><span class="na">[{\tt undef}]</span> iff the predicate corresponding to <span class="nb">{</span><span class="k">\tt</span> Call<span class="nb">}</span> 
</div><div id="l861" class="code_block">has not been declared tabled.
</div><div id="l862" class="code_block"><span class="k">\end</span><span class="nb">{</span>description<span class="nb">}</span>
</div><div id="l863" class="code_block">
</div><div id="l864" class="code_block">Exceptions:
</div><div id="l865" class="code_block">    <span class="k">\begin</span><span class="nb">{</span>description<span class="nb">}</span>
</div><div id="l866" class="code_block">    <span class="k">\item</span><span class="na">[{\tt type\_error}]</span>
</div><div id="l867" class="code_block">	Argument 1 is not a callable predicate.
</div><div id="l868" class="code_block">    <span class="k">\end</span><span class="nb">{</span>description<span class="nb">}</span>
</div><div id="l869" class="code_block"><span class="nb">}</span>
</div><div id="l870" class="code_block">
</div><div id="l871" class="code_block"><span class="c">%--------------------------------------------------------------------------</span>
</div><div id="l872" class="code_block">
</div><div id="l873" class="code_block"><span class="k">\subsection</span><span class="nb">{</span>Deleting Tables and Table Components<span class="nb">}</span>
</div><div id="l874" class="code_block"><span class="k">\label</span><span class="nb">{</span>sec:TablePred:Deleting<span class="nb">}</span>
</div><div id="l875" class="code_block"><span class="k">\index</span><span class="nb">{</span>tabling!table deletion<span class="nb">}</span>
</div><div id="l876" class="code_block">
</div><div id="l877" class="code_block">
</div><div id="l878" class="code_block">The following predicates succeed whenever the table(s) in question are
</div><div id="l879" class="code_block"><span class="k">\emph</span><span class="nb">{</span>complete<span class="nb">}</span>.  In order to ensure correct evaluations, incomplete
</div><div id="l880" class="code_block">tables may not be removed by the user.  Note that incomplete tables
</div><div id="l881" class="code_block">are abolished <span class="k">\emph</span><span class="nb">{</span>automatically<span class="nb">}</span> by the system on exceptions and
</div><div id="l882" class="code_block">when the interpreter level is resumed.
</div><div id="l883" class="code_block">
</div><div id="l884" class="code_block"><span class="k">\vspace</span><span class="nb">{</span>2ex<span class="nb">}</span>
</div><div id="l885" class="code_block">
</div><div id="l886" class="code_block"><span class="k">\begin</span><span class="nb">{</span>description<span class="nb">}</span>
</div><div id="l887" class="code_block">
</div><div id="l888" class="code_block"><span class="c">% - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -</span>
</div><div id="l889" class="code_block">
</div><div id="l890" class="code_block"><span class="k">\ournewitem</span><span class="nb">{</span>abolish<span class="k">\_all\_tables</span><span class="nb">}{</span>Tabling<span class="nb">}</span><span class="k">\index</span><span class="nb">{{</span><span class="k">\tt</span> abolish<span class="k">\_all\_tables</span>/0<span class="nb">}}</span>
</div><div id="l891" class="code_block"><span class="c">%</span>
</div><div id="l892" class="code_block">Removes the tables presently in the system and frees all the memory
</div><div id="l893" class="code_block">held by XSB for these structures.  Predicates which have been declared
</div><div id="l894" class="code_block">tabled remain so, but their table entries, if any, are deleted.
</div><div id="l895" class="code_block">
</div><div id="l896" class="code_block"><span class="c">% - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -</span>
</div><div id="l897" class="code_block">
</div><div id="l898" class="code_block"><span class="k">\comment</span><span class="nb">{</span>
</div><div id="l899" class="code_block">TLS: taken out when builtins for subsumptive tabling were introduced.
</div><div id="l900" class="code_block">
</div><div id="l901" class="code_block"><span class="k">\ournewitem</span><span class="nb">{</span>abolish<span class="k">\_table\_call</span>(+CallTerm)<span class="nb">}{</span>Tabling<span class="nb">}</span>
</div><div id="l902" class="code_block"><span class="k">\index</span><span class="nb">{{</span><span class="k">\tt</span> abolish<span class="k">\_table\_call</span>/1<span class="nb">}}</span>
</div><div id="l903" class="code_block"><span class="c">%</span>
</div><div id="l904" class="code_block">Removes the table entry for the subgoal <span class="k">\code</span><span class="nb">{</span>CallTerm<span class="nb">}</span> should it
</div><div id="l905" class="code_block">exists.  The predicate remains tabled and all of its other table
</div><div id="l906" class="code_block">entries remains intact.
</div><div id="l907" class="code_block"><span class="nb">}</span>
</div><div id="l908" class="code_block">
</div><div id="l909" class="code_block"><span class="c">% - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -</span>
</div><div id="l910" class="code_block">
</div><div id="l911" class="code_block"><span class="k">\ournewitem</span><span class="nb">{</span>abolish<span class="k">\_table\_pred</span>(+PredSpec)<span class="nb">}{</span>Tabling<span class="nb">}</span>
</div><div id="l912" class="code_block"><span class="k">\index</span><span class="nb">{{</span><span class="k">\tt</span> abolish<span class="k">\_table\_pred</span>/1<span class="nb">}}</span>
</div><div id="l913" class="code_block"><span class="c">%</span>
</div><div id="l914" class="code_block">Removes all entries from the table for the predicate denoted by
</div><div id="l915" class="code_block"><span class="k">\code</span><span class="nb">{</span>PredSpec<span class="nb">}</span>.  The predicate remains tabled but the memory held by
</div><div id="l916" class="code_block">its former table entries is returned to XSB for future entry creation.
</div><div id="l917" class="code_block">
</div><div id="l918" class="code_block"><span class="c">% - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -</span>
</div><div id="l919" class="code_block">
</div><div id="l920" class="code_block"><span class="k">\ournewitem</span><span class="nb">{</span>delete<span class="k">\_return</span>(+TableEntryHandle,+ReturnHandle)<span class="nb">}{</span>Tabling<span class="nb">}</span>
</div><div id="l921" class="code_block"><span class="k">\index</span><span class="nb">{{</span><span class="k">\tt</span> delete<span class="k">\_returns</span>/2<span class="nb">}}</span>
</div><div id="l922" class="code_block"><span class="c">%</span>
</div><div id="l923" class="code_block">Removes the answer indicated by <span class="k">\code</span><span class="nb">{</span>ReturnHandle<span class="nb">}</span> from the table
</div><div id="l924" class="code_block">entry referenced by <span class="k">\code</span><span class="nb">{</span>TableEntryHandle<span class="nb">}</span>.  The value of each
</div><div id="l925" class="code_block">argument should be obtained from some previous invocation of a
</div><div id="l926" class="code_block">table-inspection predicate.
</div><div id="l927" class="code_block">
</div><div id="l928" class="code_block"><span class="c">% - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -</span>
</div><div id="l929" class="code_block">
</div><div id="l930" class="code_block"><span class="k">\end</span><span class="nb">{</span>description<span class="nb">}</span>
</div><div id="l931" class="code_block">
</div><div id="l932" class="code_block">
</div><div id="l933" class="code_block"><span class="c">%==========================================================================</span>
</div><div id="l934" class="code_block">
</div><div id="l935" class="code_block"><span class="c">%%%</span>
</div><div id="l936" class="code_block"><span class="c">%%% OLD JUNK</span>
</div><div id="l937" class="code_block"><span class="c">%%%</span>
</div><div id="l938" class="code_block">
</div><div id="l939" class="code_block"><span class="k">\comment</span><span class="nb">{</span>
</div><div id="l940" class="code_block">
</div><div id="l941" class="code_block">
</div><div id="l942" class="code_block"><span class="k">\ournewitem</span><span class="nb">{</span>table<span class="k">\_prop</span>(?Pred<span class="k">\_indicator</span>,+Type,?Old<span class="k">\_val</span>,+New<span class="k">\_val</span>)<span class="nb">}{</span>Tabling<span class="nb">}</span>
</div><div id="l943" class="code_block"><span class="k">\index</span><span class="nb">{{</span><span class="k">\tt</span> table<span class="k">\_prop</span>/4<span class="nb">}}</span>
</div><div id="l944" class="code_block">This predicate is described together with the following one.
</div><div id="l945" class="code_block">
</div><div id="l946" class="code_block">
</div><div id="l947" class="code_block"><span class="k">\ournewitem</span><span class="nb">{</span>table<span class="k">\_prop</span>(?Pred<span class="k">\_indicator</span>,+Type,-Value)<span class="nb">}{</span>Tabling<span class="nb">}</span><span class="k">\index</span><span class="nb">{{</span><span class="k">\tt</span> table<span class="k">\_prop</span>/3<span class="nb">}}</span>
</div><div id="l948" class="code_block">This predicate is used either to provide information about a table
</div><div id="l949" class="code_block">property, or to reset one of properties to a particular value.  These
</div><div id="l950" class="code_block">values can also be set by the table declarations in the source code.
</div><div id="l951" class="code_block"><span class="nb">{</span><span class="k">\tt</span> table<span class="k">\_prop</span><span class="nb">}</span> provides a method for doing so without having to
</div><div id="l952" class="code_block">recompile code.
</div><div id="l953" class="code_block">
</div><div id="l954" class="code_block">In previous versions <span class="nb">{</span><span class="k">\tt</span> table<span class="k">\_prop</span><span class="nb">}</span> was used to reset hash sizes for
</div><div id="l955" class="code_block">calls and returns.  It is not used in <span class="k">\version</span>, but is maintained since
</div><div id="l956" class="code_block">in future versions <span class="nb">{</span><span class="k">\tt</span> table<span class="k">\_prop</span><span class="nb">}</span> may be used for other table
</div><div id="l957" class="code_block">properties such as subgoal subsumption.
</div><div id="l958" class="code_block">
</div><div id="l959" class="code_block"><span class="nb">}</span>
</div><div id="l960" class="code_block">
</div><div id="l961" class="code_block"><span class="c">%In \version\ the properties visible to the user are the call and return</span>
</div><div id="l962" class="code_block"><span class="c">%hash sizes.  Each tabled predicate contains two types of hash tables.</span>
</div><div id="l963" class="code_block"><span class="c">%A {\em call hash table} is used to find whether the variant of a call</span>
</div><div id="l964" class="code_block"><span class="c">%to a tabled predicate has occurred before in the course of a</span>
</div><div id="l965" class="code_block"><span class="c">%computation.  Each tabled call has a {\em return hash table} which is</span>
</div><div id="l966" class="code_block"><span class="c">%used during a computation to determine whether a given return needs to</span>
</div><div id="l967" class="code_block"><span class="c">%be added to the table.  Appropriate indexing for call and return</span>
</div><div id="l968" class="code_block"><span class="c">%lookup, including proper hash table sizes, is crucial to good</span>
</div><div id="l969" class="code_block"><span class="c">%performance.  </span>
</div><div id="l970" class="code_block">
</div><div id="l971" class="code_block"><span class="c">%Hash table sizes are non-negative integers denoting the number of</span>
</div><div id="l972" class="code_block"><span class="c">%buckets in the hash table.  When {\tt Pred\_indicator} denotes a</span>
</div><div id="l973" class="code_block"><span class="c">%tabled predicate, the predicate can take one of two modes depending on</span>
</div><div id="l974" class="code_block"><span class="c">%its arity.  In {\tt table\_prop/4}, the {\tt New\_value} is provided by</span>
</div><div id="l975" class="code_block"><span class="c">%the user and {\tt Old\_value} is unified with the precious value of</span>
</div><div id="l976" class="code_block"><span class="c">%the table property.  In {\tt table\_prop/3} the present value of the </span>
</div><div id="l977" class="code_block"><span class="c">%property is returned.</span>
</div><div id="l978" class="code_block">
</div><div id="l979" class="code_block"><span class="c">%Presently, the hash table sizes can only be reset when there are no tabled</span>
</div><div id="l980" class="code_block"><span class="c">%calls to {\tt Pred\_indicator}.  This can be ensured by a call to </span>
</div><div id="l981" class="code_block"><span class="c">%{\tt abolish\_table\_pred/1}</span>
</div><div id="l982" class="code_block"><span class="c">%</span>
</div><div id="l983" class="code_block"><span class="c">%Future versions of \ourprolog\ may include additional indexing</span>
</div><div id="l984" class="code_block"><span class="c">%strategies as configurable table properties.</span>
</div><div id="l985" class="code_block">
</div><div id="l986" class="code_block"><span class="k">\comment</span><span class="nb">{</span>
</div><div id="l987" class="code_block">
</div><div id="l988" class="code_block">    Exceptions:
</div><div id="l989" class="code_block">    <span class="k">\begin</span><span class="nb">{</span>description<span class="nb">}</span>
</div><div id="l990" class="code_block"><span class="c">%    \item[{\tt table\_error}]</span>
</div><div id="l991" class="code_block"><span class="c">%	Attempt to reset hash table size for predicate with tabled calls.</span>
</div><div id="l992" class="code_block">    <span class="k">\item</span><span class="na">[{\tt table\_error}]</span>
</div><div id="l993" class="code_block">	Argument 1 is not a tabled predicate.
</div><div id="l994" class="code_block">    <span class="k">\end</span><span class="nb">{</span>description<span class="nb">}</span>
</div><div id="l995" class="code_block">
</div><div id="l996" class="code_block"><span class="nb">}</span>
</div><div id="l997" class="code_block"><span class="c">%\ounewitem{table\_copy(+From,-To)} \index{{\tt table\_copy/2}}</span>
</div><div id="l998" class="code_block"><span class="c">%Table copy provides an explicit mechanism for the user to reduce the</span>
</div><div id="l999" class="code_block"><span class="c">%amount of copying into and out of a table.  {\tt table\_copy/2}</span>
</div><div id="l1000" class="code_block"><span class="c">%succeeds when {\tt From} is ground, and returns a copy of that</span>
</div><div id="l1001" class="code_block"><span class="c">%structure (or list) in the table space.  No copying of that structure</span>
</div><div id="l1002" class="code_block"><span class="c">%will be required when calls or returns containing it are tabled, and</span>
</div><div id="l1003" class="code_block"><span class="c">%no copying will be necessary when returns using it are resolved with</span>
</div><div id="l1004" class="code_block"><span class="c">%goals. </span>
</div><div id="l1005" class="code_block"><span class="c">%</span>
</div><div id="l1006" class="code_block"><span class="c">%For an example of the use of table copy, see Section~\ref{dcg_tabling}</span>
</div><div id="l1007" class="code_block">
</div><div id="l1008" class="code_block"><span class="k">\comment</span><span class="nb">{</span>
</div><div id="l1009" class="code_block">
</div><div id="l1010" class="code_block"><span class="k">\ournewitem</span><span class="nb">{</span>breg<span class="k">\_retskel</span>(+Breg,+Arity,-ReturnSkeleton,-SubgoalStructurePtr)<span class="nb">}</span>
</div><div id="l1011" class="code_block"><span class="k">\index</span><span class="nb">{{</span><span class="k">\tt</span> breg<span class="k">\_retskel</span>/4<span class="nb">}}</span>
</div><div id="l1012" class="code_block">If Breg is bound to a pointer to the tabling choice point and 
</div><div id="l1013" class="code_block">Arity is bound to the arity of the predicate corresponding to 
</div><div id="l1014" class="code_block">the choice point, <span class="nb">{</span><span class="k">\tt</span> breg<span class="k">\_retskel</span><span class="nb">}</span> succeeds after binding 
</div><div id="l1015" class="code_block"><span class="nb">{</span><span class="k">\tt</span> ReturnSkeleton<span class="nb">}</span> to ret/n as in <span class="nb">{</span><span class="k">\tt</span> get<span class="k">\_calls</span>/3<span class="nb">}</span> and 
</div><div id="l1016" class="code_block"><span class="nb">{</span><span class="k">\tt</span> SubgoalStructurePtr<span class="nb">}</span> to the pointer to the subgoal structure.
</div><div id="l1017" class="code_block">
</div><div id="l1018" class="code_block">Warning:This builtin works for tabling predicates only.
</div><div id="l1019" class="code_block">
</div><div id="l1020" class="code_block"><span class="nb">}</span>
</div><div id="l1021" class="code_block">
</div><div id="l1022" class="code_block"><span class="c">%==========================================================================</span>
</div><div id="l1023" class="code_block">
</div><div id="l1024" class="code_block"><span class="k">\end</span><span class="nb">{</span>description<span class="nb">}</span>
</div><div id="l1025" class="code_block">
</div><div id="l1026" class="code_block">
</div><div id="l1027" class="code_block">
</div><div id="l1028" class="code_block"><span class="c">%%% Local Variables: </span>
</div><div id="l1029" class="code_block"><span class="c">%%% mode: latex</span>
</div><div id="l1030" class="code_block"><span class="c">%%% TeX-master: &quot;manual1&quot;</span>
</div><div id="l1031" class="code_block"><span class="c">%%% End: </span>
</div></pre></div></td></tr></table></div>

      
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            bizx.cmp.ifConsent({ purposes: 'all' }, function () {
                bizx.cmp.embedScript(`https://pagead2.googlesyndication.com/pagead/js/pcd.js?${id}`,
                    true,  // async
                    'head', // location
                    null, // callback
                    false, // defer
                    {id: `google-pcd-tag-${id}`, 'data-audience-pixel': 'dc_iu=/41014381/DFPAudiencePixel;dc_seg=' + id});
            });
        }

        
            gam("8901705213");gam("8901712041");</script>

<script type="text/javascript">
    /*global ga, gtag */

    
        
        bizx.cmp.ifConsent({ purposes: ['storage', 'measurement'], vendors: 'google-analytics'}, function () {
            gtag('config', 'G-1H226E4E4L', {
                
                send_page_view: false,
                'SF_Page_Type': '', 
                user_properties: {
                    'SF_Logged_in': 'Logged Out', 
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                'devicePixelRatio': SF.devicePixelRatio, 
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            gtag('event', 'page_view', { send_to: 'G-1H226E4E4L' });
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</body>
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