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<!--Weave of 'Atomic Propositions' generated by Inweb-->
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<ul class="crumbs"><li><a href="../index.html">Home</a></li><li><a href="../services.html">Services</a></li><li><a href="index.html">calculus</a></li><li><a href="index.html#4">Chapter 4: Propositions</a></li><li><b>Atomic Propositions</b></li></ul></div>
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<p class="purpose">To build and modify atoms, the syntactic pieces from which propositions are built up.</p>
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<ul class="toc"><li><a href="4-ap.html#SP1">§1. Elements and groups</a></li><li><a href="4-ap.html#SP5">§5. Quantifiers</a></li><li><a href="4-ap.html#SP9">§9. Unary predicates</a></li><li><a href="4-ap.html#SP10">§10. Binary predicates</a></li><li><a href="4-ap.html#SP13">§13. Validating atoms</a></li><li><a href="4-ap.html#SP14">§14. Writing to text</a></li></ul><hr class="tocbar">
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<p class="commentary firstcommentary"><a id="SP1" class="paragraph-anchor"></a><b>§1. Elements and groups. </b>Propositions are built up from "atoms": see <a href="P-wtmd.html" class="internal">What This Module Does</a> for
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more. Those atoms are themselves <a href="4-ap.html#SP1" class="internal">pcalc_prop</a> objects: what makes them
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atomic is simply that their <span class="extract"><span class="extract-syntax">next</span></span> links lead nowhere yet.
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</p>
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<pre class="definitions code-font"><span class="definition-keyword">define</span> <span class="constant-syntax">MAX_ATOM_ARITY</span><span class="plain-syntax"> </span><span class="constant-syntax">2</span>
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</pre>
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<pre class="displayed-code all-displayed-code code-font">
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<span class="reserved-syntax">typedef</span><span class="plain-syntax"> </span><span class="reserved-syntax">struct</span><span class="plain-syntax"> </span><span class="reserved-syntax">pcalc_prop</span><span class="plain-syntax"> {</span>
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<span class="plain-syntax"> </span><span class="reserved-syntax">int</span><span class="plain-syntax"> </span><span class="identifier-syntax">element</span><span class="plain-syntax">; </span><span class="comment-syntax"> one of the </span><span class="extract"><span class="extract-syntax">*_ATOM</span></span><span class="comment-syntax"> constants below: always 1 or greater</span>
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<span class="plain-syntax"> </span><span class="reserved-syntax">int</span><span class="plain-syntax"> </span><span class="identifier-syntax">arity</span><span class="plain-syntax">; </span><span class="comment-syntax"> 1 for quantifiers and unary predicates; 2 for BPs; 0 otherwise</span>
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<span class="plain-syntax"> </span><span class="reserved-syntax">struct</span><span class="plain-syntax"> </span><span class="identifier-syntax">general_pointer</span><span class="plain-syntax"> </span><span class="identifier-syntax">predicate</span><span class="plain-syntax">; </span><span class="comment-syntax"> indicates which predicate structure is meant</span>
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<span class="plain-syntax"> </span><span class="reserved-syntax">struct</span><span class="plain-syntax"> </span><span class="reserved-syntax">binary_predicate</span><span class="plain-syntax"> *</span><span class="identifier-syntax">saved_bp</span><span class="plain-syntax">; </span><span class="comment-syntax"> for problem messages only</span>
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<span class="plain-syntax"> </span><span class="reserved-syntax">struct</span><span class="plain-syntax"> </span><span class="reserved-syntax">pcalc_term</span><span class="plain-syntax"> </span><span class="identifier-syntax">terms</span><span class="plain-syntax">[</span><span class="constant-syntax">MAX_ATOM_ARITY</span><span class="plain-syntax">]; </span><span class="comment-syntax"> terms to which the predicate applies</span>
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<span class="plain-syntax"> </span><span class="reserved-syntax">struct</span><span class="plain-syntax"> </span><span class="identifier-syntax">quantifier</span><span class="plain-syntax"> *</span><span class="identifier-syntax">quant</span><span class="plain-syntax">; </span><span class="comment-syntax"> </span><span class="extract"><span class="extract-syntax">QUANTIFIER_ATOM</span></span><span class="comment-syntax">: which one</span>
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<span class="plain-syntax"> </span><span class="reserved-syntax">int</span><span class="plain-syntax"> </span><span class="identifier-syntax">quantification_parameter</span><span class="plain-syntax">; </span><span class="comment-syntax"> </span><span class="extract"><span class="extract-syntax">QUANTIFIER_ATOM</span></span><span class="comment-syntax">: e.g., the 3 in "all three"</span>
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<span class="plain-syntax"> </span><span class="reserved-syntax">struct</span><span class="plain-syntax"> </span><span class="reserved-syntax">pcalc_prop</span><span class="plain-syntax"> *</span><span class="identifier-syntax">next</span><span class="plain-syntax">; </span><span class="comment-syntax"> next atom in the list for this proposition</span>
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<span class="plain-syntax">} </span><span class="reserved-syntax">pcalc_prop</span><span class="plain-syntax">;</span>
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</pre>
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<ul class="endnotetexts"><li>The structure pcalc_prop is accessed in 2/kp, 4/prp, 4/bas, 4/tcp, 5/sc, 5/smp and here.</li></ul>
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<p class="commentary firstcommentary"><a id="SP2" class="paragraph-anchor"></a><b>§2. </b>Each atom is an instance of an "element". There were never as many as 92 of
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these, but at one time the total was pushing 20, with many quasi-predicates
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having their own atom types. The introduction of <a href="2-upf.html" class="internal">Unary Predicate Families</a>
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in 2020 simplified the picture considerably.
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</p>
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<pre class="definitions code-font"><span class="definition-keyword">enum</span> <span class="constant-syntax">QUANTIFIER_ATOM</span><span class="plain-syntax"> </span><span class="identifier-syntax">from</span><span class="plain-syntax"> </span><span class="constant-syntax">1</span><span class="plain-syntax"> </span><span class="comment-syntax"> any generalised quantifier</span>
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<span class="definition-keyword">enum</span> <span class="constant-syntax">PREDICATE_ATOM</span><span class="plain-syntax"> </span><span class="comment-syntax"> a regular predicate, rather than these special cases —</span>
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<span class="definition-keyword">enum</span> <span class="constant-syntax">NEGATION_OPEN_ATOM</span><span class="plain-syntax"> </span><span class="comment-syntax"> logical negation </span>\(\lnot\)<span class="comment-syntax"> applied to contents of group</span>
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<span class="definition-keyword">enum</span> <span class="constant-syntax">NEGATION_CLOSE_ATOM</span><span class="plain-syntax"> </span><span class="comment-syntax"> end of logical negation </span>\(\lnot\)
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<span class="definition-keyword">enum</span> <span class="constant-syntax">DOMAIN_OPEN_ATOM</span><span class="plain-syntax"> </span><span class="comment-syntax"> this holds the domain of a quantifier</span>
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<span class="definition-keyword">enum</span> <span class="constant-syntax">DOMAIN_CLOSE_ATOM</span><span class="plain-syntax"> </span><span class="comment-syntax"> end of quantifier domain</span>
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</pre>
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<p class="commentary firstcommentary"><a id="SP3" class="paragraph-anchor"></a><b>§3. </b>To handle the paired punctuation marks:
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</p>
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<pre class="displayed-code all-displayed-code code-font">
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<span class="reserved-syntax">int</span><span class="plain-syntax"> </span><span class="function-syntax">Atoms::is_opener</span><button class="popup" onclick="togglePopup('usagePopup1')"><span class="comment-syntax">?</span><span class="popuptext" id="usagePopup1">Usage of <span class="code-font"><span class="function-syntax">Atoms::is_opener</span></span>:<br/><a href="4-ap.html#SP13">§13</a><br/>Propositions - <a href="4-prp.html#SP2">§2</a>, <a href="4-prp.html#SP10">§10</a>, <a href="4-prp.html#SP31">§31</a><br/>Binding and Substitution - <a href="4-bas.html#SP1">§1</a><br/>Simplifications - <a href="5-smp.html#SP9_1">§9.1</a>, <a href="5-smp.html#SP9_2">§9.2</a>, <a href="5-smp.html#SP9_3">§9.3</a>, <a href="5-smp.html#SP9_3_1">§9.3.1</a>, <a href="5-smp.html#SP9_4">§9.4</a>, <a href="5-smp.html#SP13">§13</a>, <a href="5-smp.html#SP13_1">§13.1</a></span></button><span class="plain-syntax">(</span><span class="reserved-syntax">int</span><span class="plain-syntax"> </span><span class="identifier-syntax">element</span><span class="plain-syntax">) {</span>
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<span class="plain-syntax"> </span><span class="reserved-syntax">if</span><span class="plain-syntax"> ((</span><span class="identifier-syntax">element</span><span class="plain-syntax"> == </span><span class="constant-syntax">NEGATION_OPEN_ATOM</span><span class="plain-syntax">) || (</span><span class="identifier-syntax">element</span><span class="plain-syntax"> == </span><span class="constant-syntax">DOMAIN_OPEN_ATOM</span><span class="plain-syntax">))</span>
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<span class="plain-syntax"> </span><span class="reserved-syntax">return</span><span class="plain-syntax"> </span><span class="identifier-syntax">TRUE</span><span class="plain-syntax">;</span>
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<span class="plain-syntax"> </span><span class="reserved-syntax">return</span><span class="plain-syntax"> </span><span class="identifier-syntax">FALSE</span><span class="plain-syntax">;</span>
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<span class="plain-syntax">}</span>
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<span class="reserved-syntax">int</span><span class="plain-syntax"> </span><span class="function-syntax">Atoms::is_closer</span><button class="popup" onclick="togglePopup('usagePopup2')"><span class="comment-syntax">?</span><span class="popuptext" id="usagePopup2">Usage of <span class="code-font"><span class="function-syntax">Atoms::is_closer</span></span>:<br/><a href="4-ap.html#SP13">§13</a><br/>Propositions - <a href="4-prp.html#SP2">§2</a>, <a href="4-prp.html#SP10">§10</a>, <a href="4-prp.html#SP31">§31</a><br/>Binding and Substitution - <a href="4-bas.html#SP1">§1</a><br/>Simplifications - <a href="5-smp.html#SP9_1">§9.1</a>, <a href="5-smp.html#SP9_2">§9.2</a>, <a href="5-smp.html#SP9_3">§9.3</a>, <a href="5-smp.html#SP9_3_1">§9.3.1</a>, <a href="5-smp.html#SP9_4">§9.4</a>, <a href="5-smp.html#SP13">§13</a>, <a href="5-smp.html#SP13_1">§13.1</a></span></button><span class="plain-syntax">(</span><span class="reserved-syntax">int</span><span class="plain-syntax"> </span><span class="identifier-syntax">element</span><span class="plain-syntax">) {</span>
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<span class="plain-syntax"> </span><span class="reserved-syntax">if</span><span class="plain-syntax"> ((</span><span class="identifier-syntax">element</span><span class="plain-syntax"> == </span><span class="constant-syntax">NEGATION_CLOSE_ATOM</span><span class="plain-syntax">) || (</span><span class="identifier-syntax">element</span><span class="plain-syntax"> == </span><span class="constant-syntax">DOMAIN_CLOSE_ATOM</span><span class="plain-syntax">))</span>
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<span class="plain-syntax"> </span><span class="reserved-syntax">return</span><span class="plain-syntax"> </span><span class="identifier-syntax">TRUE</span><span class="plain-syntax">;</span>
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<span class="plain-syntax"> </span><span class="reserved-syntax">return</span><span class="plain-syntax"> </span><span class="identifier-syntax">FALSE</span><span class="plain-syntax">;</span>
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<span class="plain-syntax">}</span>
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<span class="reserved-syntax">int</span><span class="plain-syntax"> </span><span class="function-syntax">Atoms::counterpart</span><button class="popup" onclick="togglePopup('usagePopup3')"><span class="comment-syntax">?</span><span class="popuptext" id="usagePopup3">Usage of <span class="code-font"><span class="function-syntax">Atoms::counterpart</span></span>:<br/>Propositions - <a href="4-prp.html#SP10">§10</a>, <a href="4-prp.html#SP31">§31</a>, <a href="4-prp.html#SP34">§34</a></span></button><span class="plain-syntax">(</span><span class="reserved-syntax">int</span><span class="plain-syntax"> </span><span class="identifier-syntax">element</span><span class="plain-syntax">) {</span>
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<span class="plain-syntax"> </span><span class="reserved-syntax">switch</span><span class="plain-syntax"> (</span><span class="identifier-syntax">element</span><span class="plain-syntax">) {</span>
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<span class="plain-syntax"> </span><span class="reserved-syntax">case</span><span class="plain-syntax"> </span><span class="identifier-syntax">NEGATION_OPEN_ATOM:</span><span class="plain-syntax"> </span><span class="reserved-syntax">return</span><span class="plain-syntax"> </span><span class="constant-syntax">NEGATION_CLOSE_ATOM</span><span class="plain-syntax">;</span>
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<span class="plain-syntax"> </span><span class="reserved-syntax">case</span><span class="plain-syntax"> </span><span class="identifier-syntax">NEGATION_CLOSE_ATOM:</span><span class="plain-syntax"> </span><span class="reserved-syntax">return</span><span class="plain-syntax"> </span><span class="constant-syntax">NEGATION_OPEN_ATOM</span><span class="plain-syntax">;</span>
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<span class="plain-syntax"> </span><span class="reserved-syntax">case</span><span class="plain-syntax"> </span><span class="identifier-syntax">DOMAIN_OPEN_ATOM:</span><span class="plain-syntax"> </span><span class="reserved-syntax">return</span><span class="plain-syntax"> </span><span class="constant-syntax">DOMAIN_CLOSE_ATOM</span><span class="plain-syntax">;</span>
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<span class="plain-syntax"> </span><span class="reserved-syntax">case</span><span class="plain-syntax"> </span><span class="identifier-syntax">DOMAIN_CLOSE_ATOM:</span><span class="plain-syntax"> </span><span class="reserved-syntax">return</span><span class="plain-syntax"> </span><span class="constant-syntax">DOMAIN_OPEN_ATOM</span><span class="plain-syntax">;</span>
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<span class="plain-syntax"> </span><span class="identifier-syntax">default:</span><span class="plain-syntax"> </span><span class="reserved-syntax">return</span><span class="plain-syntax"> </span><span class="constant-syntax">0</span><span class="plain-syntax">;</span>
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<span class="plain-syntax"> }</span>
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<span class="plain-syntax">}</span>
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</pre>
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<p class="commentary firstcommentary"><a id="SP4" class="paragraph-anchor"></a><b>§4. </b>Every atom is created by the following routine:
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</p>
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<pre class="displayed-code all-displayed-code code-font">
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<span class="reserved-syntax">pcalc_prop</span><span class="plain-syntax"> *</span><span class="function-syntax">Atoms::new</span><button class="popup" onclick="togglePopup('usagePopup4')"><span class="comment-syntax">?</span><span class="popuptext" id="usagePopup4">Usage of <span class="code-font"><span class="function-syntax">Atoms::new</span></span>:<br/><a href="4-ap.html#SP6">§6</a>, <a href="4-ap.html#SP9">§9</a>, <a href="4-ap.html#SP10">§10</a><br/>Propositions - <a href="4-prp.html#SP13">§13</a>, <a href="4-prp.html#SP16">§16</a><br/>Sentence Conversions - <a href="5-sc.html#SP2_13">§2.13</a>, <a href="5-sc.html#SP3_8">§3.8</a><br/>Simplifications - <a href="5-smp.html#SP2_2">§2.2</a>, <a href="5-smp.html#SP5">§5</a>, <a href="5-smp.html#SP6">§6</a>, <a href="5-smp.html#SP18">§18</a>, <a href="5-smp.html#SP19">§19</a></span></button><span class="plain-syntax">(</span><span class="reserved-syntax">int</span><span class="plain-syntax"> </span><span class="identifier-syntax">element</span><span class="plain-syntax">) {</span>
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<span class="plain-syntax"> </span><span class="reserved-syntax">pcalc_prop</span><span class="plain-syntax"> *</span><span class="identifier-syntax">prop</span><span class="plain-syntax"> = </span><span class="identifier-syntax">CREATE</span><span class="plain-syntax">(</span><span class="reserved-syntax">pcalc_prop</span><span class="plain-syntax">);</span>
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<span class="plain-syntax"> </span><span class="identifier-syntax">prop</span><span class="plain-syntax">-></span><span class="identifier-syntax">next</span><span class="plain-syntax"> = </span><span class="identifier-syntax">NULL</span><span class="plain-syntax">;</span>
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<span class="plain-syntax"> </span><span class="identifier-syntax">prop</span><span class="plain-syntax">-></span><span class="identifier-syntax">element</span><span class="plain-syntax"> = </span><span class="identifier-syntax">element</span><span class="plain-syntax">;</span>
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<span class="plain-syntax"> </span><span class="identifier-syntax">prop</span><span class="plain-syntax">-></span><span class="identifier-syntax">arity</span><span class="plain-syntax"> = </span><span class="constant-syntax">0</span><span class="plain-syntax">;</span>
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<span class="plain-syntax"> </span><span class="identifier-syntax">prop</span><span class="plain-syntax">-></span><span class="identifier-syntax">predicate</span><span class="plain-syntax"> = </span><span class="identifier-syntax">NULL_GENERAL_POINTER</span><span class="plain-syntax">;</span>
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<span class="plain-syntax"> </span><span class="identifier-syntax">prop</span><span class="plain-syntax">-></span><span class="identifier-syntax">quant</span><span class="plain-syntax"> = </span><span class="identifier-syntax">NULL</span><span class="plain-syntax">;</span>
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<span class="plain-syntax"> </span><span class="identifier-syntax">prop</span><span class="plain-syntax">-></span><span class="identifier-syntax">saved_bp</span><span class="plain-syntax"> = </span><span class="identifier-syntax">NULL</span><span class="plain-syntax">;</span>
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<span class="plain-syntax"> </span><span class="reserved-syntax">return</span><span class="plain-syntax"> </span><span class="identifier-syntax">prop</span><span class="plain-syntax">;</span>
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<span class="plain-syntax">}</span>
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</pre>
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<p class="commentary firstcommentary"><a id="SP5" class="paragraph-anchor"></a><b>§5. Quantifiers. </b>These have arity 1, and the single term must always be a variable, the one
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which is being bound.<sup id="fnref:1"><a href="#fn:1" rel="footnote">1</a></sup> The parameter is a number needed for some
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<span class="extract"><span class="extract-syntax">quantifier</span></span> types to identify the range: for instance, it would be 7 in the
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case of <span class="extract"><span class="extract-syntax">Card= 7</span></span>.
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</p>
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<ul class="footnotetexts"><li class="footnote" id="fn:1"><p class="inwebfootnote"><sup id="fnref:1"><a href="#fn:1" rel="footnote">1</a></sup> Tying specific variables to quantifiers seems to be out of fashion in
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modern computer science. Contemporary theorem-proving assistants mostly
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use de Bruijn's numbering scheme, in which numbers 1, 2, 3, ..., refer
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to variables being quantified in an indirect way. The advantage is that
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propositions are easier to construct, since the same numbers can be used
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in different subexpressions of the same proposition, and there's no
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worrying about clashes. But it all just moves the difficulty elsewhere,
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by making it less obvious how to pair up the numbers with variables at
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compilation time, and less obvious even how many variables are needed.
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<a href="#fnref:1" title="return to text"> ↩</a></p></li></ul>
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<p class="commentary firstcommentary"><a id="SP6" class="paragraph-anchor"></a><b>§6. </b></p>
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<pre class="displayed-code all-displayed-code code-font">
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<span class="reserved-syntax">pcalc_prop</span><span class="plain-syntax"> *</span><span class="function-syntax">Atoms::QUANTIFIER_new</span><button class="popup" onclick="togglePopup('usagePopup5')"><span class="comment-syntax">?</span><span class="popuptext" id="usagePopup5">Usage of <span class="code-font"><span class="function-syntax">Atoms::QUANTIFIER_new</span></span>:<br/>Propositions - <a href="4-prp.html#SP16">§16</a><br/>Binding and Substitution - <a href="4-bas.html#SP10">§10</a><br/>Simplifications - <a href="5-smp.html#SP2_2">§2.2</a>, <a href="5-smp.html#SP3">§3</a></span></button><span class="plain-syntax">(</span><span class="identifier-syntax">quantifier</span><span class="plain-syntax"> *</span><span class="identifier-syntax">quant</span><span class="plain-syntax">, </span><span class="reserved-syntax">int</span><span class="plain-syntax"> </span><span class="identifier-syntax">v</span><span class="plain-syntax">, </span><span class="reserved-syntax">int</span><span class="plain-syntax"> </span><span class="identifier-syntax">parameter</span><span class="plain-syntax">) {</span>
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<span class="plain-syntax"> </span><span class="reserved-syntax">pcalc_prop</span><span class="plain-syntax"> *</span><span class="identifier-syntax">prop</span><span class="plain-syntax"> = </span><a href="4-ap.html#SP4" class="function-link"><span class="function-syntax">Atoms::new</span></a><span class="plain-syntax">(</span><span class="constant-syntax">QUANTIFIER_ATOM</span><span class="plain-syntax">);</span>
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<span class="plain-syntax"> </span><span class="identifier-syntax">prop</span><span class="plain-syntax">-></span><span class="identifier-syntax">terms</span><span class="plain-syntax">[</span><span class="identifier-syntax">prop</span><span class="plain-syntax">-></span><span class="element-syntax">arity</span><span class="plain-syntax">++] = </span><a href="4-trm.html#SP4" class="function-link"><span class="function-syntax">Terms::new_variable</span></a><span class="plain-syntax">(</span><span class="identifier-syntax">v</span><span class="plain-syntax">);</span>
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<span class="plain-syntax"> </span><span class="identifier-syntax">prop</span><span class="plain-syntax">-></span><span class="identifier-syntax">quant</span><span class="plain-syntax"> = </span><span class="identifier-syntax">quant</span><span class="plain-syntax">;</span>
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<span class="plain-syntax"> </span><span class="identifier-syntax">prop</span><span class="plain-syntax">-></span><span class="identifier-syntax">quantification_parameter</span><span class="plain-syntax"> = </span><span class="identifier-syntax">parameter</span><span class="plain-syntax">;</span>
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<span class="plain-syntax"> </span><span class="reserved-syntax">return</span><span class="plain-syntax"> </span><span class="identifier-syntax">prop</span><span class="plain-syntax">;</span>
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<span class="plain-syntax">}</span>
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</pre>
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<p class="commentary firstcommentary"><a id="SP7" class="paragraph-anchor"></a><b>§7. </b>Quantifier atoms can be detected as follows:
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</p>
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<pre class="displayed-code all-displayed-code code-font">
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<span class="reserved-syntax">int</span><span class="plain-syntax"> </span><span class="function-syntax">Atoms::is_quantifier</span><button class="popup" onclick="togglePopup('usagePopup6')"><span class="comment-syntax">?</span><span class="popuptext" id="usagePopup6">Usage of <span class="code-font"><span class="function-syntax">Atoms::is_quantifier</span></span>:<br/>Propositions - <a href="4-prp.html#SP10">§10</a><br/>Simplifications - <a href="5-smp.html#SP13_1">§13.1</a></span></button><span class="plain-syntax">(</span><span class="reserved-syntax">pcalc_prop</span><span class="plain-syntax"> *</span><span class="identifier-syntax">prop</span><span class="plain-syntax">) {</span>
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<span class="plain-syntax"> </span><span class="reserved-syntax">if</span><span class="plain-syntax"> ((</span><span class="identifier-syntax">prop</span><span class="plain-syntax">) && (</span><span class="identifier-syntax">prop</span><span class="plain-syntax">-></span><span class="element-syntax">element</span><span class="plain-syntax"> == </span><span class="constant-syntax">QUANTIFIER_ATOM</span><span class="plain-syntax">)) </span><span class="reserved-syntax">return</span><span class="plain-syntax"> </span><span class="identifier-syntax">TRUE</span><span class="plain-syntax">;</span>
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<span class="plain-syntax"> </span><span class="reserved-syntax">return</span><span class="plain-syntax"> </span><span class="identifier-syntax">FALSE</span><span class="plain-syntax">;</span>
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<span class="plain-syntax">}</span>
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<span class="identifier-syntax">quantifier</span><span class="plain-syntax"> *</span><span class="function-syntax">Atoms::get_quantifier</span><span class="plain-syntax">(</span><span class="reserved-syntax">pcalc_prop</span><span class="plain-syntax"> *</span><span class="identifier-syntax">prop</span><span class="plain-syntax">) {</span>
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<span class="plain-syntax"> </span><span class="reserved-syntax">if</span><span class="plain-syntax"> ((</span><span class="identifier-syntax">prop</span><span class="plain-syntax">) && (</span><span class="identifier-syntax">prop</span><span class="plain-syntax">-></span><span class="element-syntax">element</span><span class="plain-syntax"> == </span><span class="constant-syntax">QUANTIFIER_ATOM</span><span class="plain-syntax">)) </span><span class="reserved-syntax">return</span><span class="plain-syntax"> </span><span class="identifier-syntax">prop</span><span class="plain-syntax">-></span><span class="element-syntax">quant</span><span class="plain-syntax">;</span>
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<span class="plain-syntax"> </span><span class="reserved-syntax">return</span><span class="plain-syntax"> </span><span class="identifier-syntax">NULL</span><span class="plain-syntax">;</span>
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<span class="plain-syntax">}</span>
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<span class="reserved-syntax">int</span><span class="plain-syntax"> </span><span class="function-syntax">Atoms::get_quantification_parameter</span><span class="plain-syntax">(</span><span class="reserved-syntax">pcalc_prop</span><span class="plain-syntax"> *</span><span class="identifier-syntax">prop</span><span class="plain-syntax">) {</span>
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<span class="plain-syntax"> </span><span class="reserved-syntax">if</span><span class="plain-syntax"> ((</span><span class="identifier-syntax">prop</span><span class="plain-syntax">) && (</span><span class="identifier-syntax">prop</span><span class="plain-syntax">-></span><span class="element-syntax">element</span><span class="plain-syntax"> == </span><span class="constant-syntax">QUANTIFIER_ATOM</span><span class="plain-syntax">))</span>
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<span class="plain-syntax"> </span><span class="reserved-syntax">return</span><span class="plain-syntax"> </span><span class="identifier-syntax">prop</span><span class="plain-syntax">-></span><span class="element-syntax">quantification_parameter</span><span class="plain-syntax">;</span>
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<span class="plain-syntax"> </span><span class="reserved-syntax">return</span><span class="plain-syntax"> </span><span class="constant-syntax">0</span><span class="plain-syntax">;</span>
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<span class="plain-syntax">}</span>
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<span class="reserved-syntax">int</span><span class="plain-syntax"> </span><span class="function-syntax">Atoms::is_existence_quantifier</span><button class="popup" onclick="togglePopup('usagePopup7')"><span class="comment-syntax">?</span><span class="popuptext" id="usagePopup7">Usage of <span class="code-font"><span class="function-syntax">Atoms::is_existence_quantifier</span></span>:<br/>Propositions - <a href="4-prp.html#SP10">§10</a>, <a href="4-prp.html#SP29">§29</a><br/>Simplifications - <a href="5-smp.html#SP4">§4</a>, <a href="5-smp.html#SP6">§6</a>, <a href="5-smp.html#SP9_2">§9.2</a>, <a href="5-smp.html#SP13_1">§13.1</a></span></button><span class="plain-syntax">(</span><span class="reserved-syntax">pcalc_prop</span><span class="plain-syntax"> *</span><span class="identifier-syntax">prop</span><span class="plain-syntax">) {</span>
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<span class="plain-syntax"> </span><span class="reserved-syntax">if</span><span class="plain-syntax"> ((</span><span class="identifier-syntax">prop</span><span class="plain-syntax">) && (</span><span class="identifier-syntax">prop</span><span class="plain-syntax">-></span><span class="element-syntax">element</span><span class="plain-syntax"> == </span><span class="constant-syntax">QUANTIFIER_ATOM</span><span class="plain-syntax">) &&</span>
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<span class="plain-syntax"> (</span><span class="identifier-syntax">prop</span><span class="plain-syntax">-></span><span class="element-syntax">quant</span><span class="plain-syntax"> == </span><span class="identifier-syntax">exists_quantifier</span><span class="plain-syntax">))</span>
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<span class="plain-syntax"> </span><span class="reserved-syntax">return</span><span class="plain-syntax"> </span><span class="identifier-syntax">TRUE</span><span class="plain-syntax">;</span>
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<span class="plain-syntax"> </span><span class="reserved-syntax">return</span><span class="plain-syntax"> </span><span class="identifier-syntax">FALSE</span><span class="plain-syntax">;</span>
|
|
<span class="plain-syntax">}</span>
|
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<span class="reserved-syntax">int</span><span class="plain-syntax"> </span><span class="function-syntax">Atoms::is_nonexistence_quantifier</span><button class="popup" onclick="togglePopup('usagePopup8')"><span class="comment-syntax">?</span><span class="popuptext" id="usagePopup8">Usage of <span class="code-font"><span class="function-syntax">Atoms::is_nonexistence_quantifier</span></span>:<br/>Simplifications - <a href="5-smp.html#SP9_2">§9.2</a>, <a href="5-smp.html#SP18">§18</a>, <a href="5-smp.html#SP19">§19</a></span></button><span class="plain-syntax">(</span><span class="reserved-syntax">pcalc_prop</span><span class="plain-syntax"> *</span><span class="identifier-syntax">prop</span><span class="plain-syntax">) {</span>
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|
<span class="plain-syntax"> </span><span class="reserved-syntax">if</span><span class="plain-syntax"> ((</span><span class="identifier-syntax">prop</span><span class="plain-syntax">) && (</span><span class="identifier-syntax">prop</span><span class="plain-syntax">-></span><span class="element-syntax">element</span><span class="plain-syntax"> == </span><span class="constant-syntax">QUANTIFIER_ATOM</span><span class="plain-syntax">) &&</span>
|
|
<span class="plain-syntax"> (</span><span class="identifier-syntax">prop</span><span class="plain-syntax">-></span><span class="element-syntax">quant</span><span class="plain-syntax"> == </span><span class="identifier-syntax">not_exists_quantifier</span><span class="plain-syntax">))</span>
|
|
<span class="plain-syntax"> </span><span class="reserved-syntax">return</span><span class="plain-syntax"> </span><span class="identifier-syntax">TRUE</span><span class="plain-syntax">;</span>
|
|
<span class="plain-syntax"> </span><span class="reserved-syntax">return</span><span class="plain-syntax"> </span><span class="identifier-syntax">FALSE</span><span class="plain-syntax">;</span>
|
|
<span class="plain-syntax">}</span>
|
|
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|
<span class="reserved-syntax">int</span><span class="plain-syntax"> </span><span class="function-syntax">Atoms::is_forall_quantifier</span><button class="popup" onclick="togglePopup('usagePopup9')"><span class="comment-syntax">?</span><span class="popuptext" id="usagePopup9">Usage of <span class="code-font"><span class="function-syntax">Atoms::is_forall_quantifier</span></span>:<br/>Simplifications - <a href="5-smp.html#SP18">§18</a>, <a href="5-smp.html#SP19">§19</a></span></button><span class="plain-syntax">(</span><span class="reserved-syntax">pcalc_prop</span><span class="plain-syntax"> *</span><span class="identifier-syntax">prop</span><span class="plain-syntax">) {</span>
|
|
<span class="plain-syntax"> </span><span class="reserved-syntax">if</span><span class="plain-syntax"> ((</span><span class="identifier-syntax">prop</span><span class="plain-syntax">) && (</span><span class="identifier-syntax">prop</span><span class="plain-syntax">-></span><span class="element-syntax">element</span><span class="plain-syntax"> == </span><span class="constant-syntax">QUANTIFIER_ATOM</span><span class="plain-syntax">) &&</span>
|
|
<span class="plain-syntax"> (</span><span class="identifier-syntax">prop</span><span class="plain-syntax">-></span><span class="element-syntax">quant</span><span class="plain-syntax"> == </span><span class="identifier-syntax">for_all_quantifier</span><span class="plain-syntax">))</span>
|
|
<span class="plain-syntax"> </span><span class="reserved-syntax">return</span><span class="plain-syntax"> </span><span class="identifier-syntax">TRUE</span><span class="plain-syntax">;</span>
|
|
<span class="plain-syntax"> </span><span class="reserved-syntax">return</span><span class="plain-syntax"> </span><span class="identifier-syntax">FALSE</span><span class="plain-syntax">;</span>
|
|
<span class="plain-syntax">}</span>
|
|
|
|
<span class="reserved-syntax">int</span><span class="plain-syntax"> </span><span class="function-syntax">Atoms::is_notall_quantifier</span><button class="popup" onclick="togglePopup('usagePopup10')"><span class="comment-syntax">?</span><span class="popuptext" id="usagePopup10">Usage of <span class="code-font"><span class="function-syntax">Atoms::is_notall_quantifier</span></span>:<br/>Simplifications - <a href="5-smp.html#SP18">§18</a>, <a href="5-smp.html#SP19">§19</a></span></button><span class="plain-syntax">(</span><span class="reserved-syntax">pcalc_prop</span><span class="plain-syntax"> *</span><span class="identifier-syntax">prop</span><span class="plain-syntax">) {</span>
|
|
<span class="plain-syntax"> </span><span class="reserved-syntax">if</span><span class="plain-syntax"> ((</span><span class="identifier-syntax">prop</span><span class="plain-syntax">) && (</span><span class="identifier-syntax">prop</span><span class="plain-syntax">-></span><span class="element-syntax">element</span><span class="plain-syntax"> == </span><span class="constant-syntax">QUANTIFIER_ATOM</span><span class="plain-syntax">) &&</span>
|
|
<span class="plain-syntax"> (</span><span class="identifier-syntax">prop</span><span class="plain-syntax">-></span><span class="element-syntax">quant</span><span class="plain-syntax"> == </span><span class="identifier-syntax">not_for_all_quantifier</span><span class="plain-syntax">))</span>
|
|
<span class="plain-syntax"> </span><span class="reserved-syntax">return</span><span class="plain-syntax"> </span><span class="identifier-syntax">TRUE</span><span class="plain-syntax">;</span>
|
|
<span class="plain-syntax"> </span><span class="reserved-syntax">return</span><span class="plain-syntax"> </span><span class="identifier-syntax">FALSE</span><span class="plain-syntax">;</span>
|
|
<span class="plain-syntax">}</span>
|
|
|
|
<span class="reserved-syntax">int</span><span class="plain-syntax"> </span><span class="function-syntax">Atoms::is_for_all_x</span><button class="popup" onclick="togglePopup('usagePopup11')"><span class="comment-syntax">?</span><span class="popuptext" id="usagePopup11">Usage of <span class="code-font"><span class="function-syntax">Atoms::is_for_all_x</span></span>:<br/>Propositions - <a href="4-prp.html#SP35">§35</a></span></button><span class="plain-syntax">(</span><span class="reserved-syntax">pcalc_prop</span><span class="plain-syntax"> *</span><span class="identifier-syntax">prop</span><span class="plain-syntax">) {</span>
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|
<span class="plain-syntax"> </span><span class="reserved-syntax">if</span><span class="plain-syntax"> ((</span><a href="4-ap.html#SP7" class="function-link"><span class="function-syntax">Atoms::is_forall_quantifier</span></a><span class="plain-syntax">(</span><span class="identifier-syntax">prop</span><span class="plain-syntax">)) &&</span>
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<span class="plain-syntax"> (</span><span class="identifier-syntax">prop</span><span class="plain-syntax">-></span><span class="element-syntax">terms</span><span class="plain-syntax">[0].</span><span class="element-syntax">variable</span><span class="plain-syntax"> == </span><span class="constant-syntax">0</span><span class="plain-syntax">)) </span><span class="reserved-syntax">return</span><span class="plain-syntax"> </span><span class="identifier-syntax">TRUE</span><span class="plain-syntax">;</span>
|
|
<span class="plain-syntax"> </span><span class="reserved-syntax">return</span><span class="plain-syntax"> </span><span class="identifier-syntax">FALSE</span><span class="plain-syntax">;</span>
|
|
<span class="plain-syntax">}</span>
|
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</pre>
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<p class="commentary firstcommentary"><a id="SP8" class="paragraph-anchor"></a><b>§8. </b>See <a href="../linguistics-module/2-daq.html" class="internal">Determiners and Quantifiers (in linguistics)</a> for what a now-assertable
|
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quantifier is:
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</p>
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<pre class="displayed-code all-displayed-code code-font">
|
|
<span class="reserved-syntax">int</span><span class="plain-syntax"> </span><span class="function-syntax">Atoms::is_now_assertable_quantifier</span><span class="plain-syntax">(</span><span class="reserved-syntax">pcalc_prop</span><span class="plain-syntax"> *</span><span class="identifier-syntax">prop</span><span class="plain-syntax">) {</span>
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<span class="plain-syntax"> </span><span class="reserved-syntax">if</span><span class="plain-syntax"> (</span><span class="identifier-syntax">prop</span><span class="plain-syntax">-></span><span class="element-syntax">element</span><span class="plain-syntax"> != </span><span class="constant-syntax">QUANTIFIER_ATOM</span><span class="plain-syntax">) </span><span class="reserved-syntax">return</span><span class="plain-syntax"> </span><span class="identifier-syntax">FALSE</span><span class="plain-syntax">;</span>
|
|
<span class="plain-syntax"> </span><span class="reserved-syntax">return</span><span class="plain-syntax"> </span><span class="identifier-syntax">Quantifiers::is_now_assertable</span><span class="plain-syntax">(</span><span class="identifier-syntax">prop</span><span class="plain-syntax">-></span><span class="element-syntax">quant</span><span class="plain-syntax">);</span>
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<span class="plain-syntax">}</span>
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</pre>
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<p class="commentary firstcommentary"><a id="SP9" class="paragraph-anchor"></a><b>§9. Unary predicates. </b></p>
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|
<pre class="displayed-code all-displayed-code code-font">
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|
<span class="reserved-syntax">pcalc_prop</span><span class="plain-syntax"> *</span><span class="function-syntax">Atoms::unary_PREDICATE_new</span><button class="popup" onclick="togglePopup('usagePopup12')"><span class="comment-syntax">?</span><span class="popuptext" id="usagePopup12">Usage of <span class="code-font"><span class="function-syntax">Atoms::unary_PREDICATE_new</span></span>:<br/>Kind Predicates - <a href="2-kp.html#SP3">§3</a>, <a href="2-kp.html#SP4">§4</a></span></button><span class="plain-syntax">(</span><span class="reserved-syntax">unary_predicate</span><span class="plain-syntax"> *</span><span class="identifier-syntax">up</span><span class="plain-syntax">, </span><span class="reserved-syntax">pcalc_term</span><span class="plain-syntax"> </span><span class="identifier-syntax">t</span><span class="plain-syntax">) {</span>
|
|
<span class="plain-syntax"> </span><span class="reserved-syntax">pcalc_prop</span><span class="plain-syntax"> *</span><span class="identifier-syntax">prop</span><span class="plain-syntax"> = </span><a href="4-ap.html#SP4" class="function-link"><span class="function-syntax">Atoms::new</span></a><span class="plain-syntax">(</span><span class="constant-syntax">PREDICATE_ATOM</span><span class="plain-syntax">);</span>
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|
<span class="plain-syntax"> </span><span class="identifier-syntax">prop</span><span class="plain-syntax">-></span><span class="identifier-syntax">arity</span><span class="plain-syntax"> = </span><span class="constant-syntax">1</span><span class="plain-syntax">;</span>
|
|
<span class="plain-syntax"> </span><span class="identifier-syntax">prop</span><span class="plain-syntax">-></span><span class="identifier-syntax">terms</span><span class="plain-syntax">[0] = </span><span class="identifier-syntax">t</span><span class="plain-syntax">;</span>
|
|
<span class="plain-syntax"> </span><span class="identifier-syntax">prop</span><span class="plain-syntax">-></span><span class="identifier-syntax">predicate</span><span class="plain-syntax"> = </span><span class="identifier-syntax">STORE_POINTER_unary_predicate</span><span class="plain-syntax">(</span><span class="identifier-syntax">up</span><span class="plain-syntax">);</span>
|
|
<span class="plain-syntax"> </span><span class="reserved-syntax">return</span><span class="plain-syntax"> </span><span class="identifier-syntax">prop</span><span class="plain-syntax">;</span>
|
|
<span class="plain-syntax">}</span>
|
|
|
|
<span class="reserved-syntax">unary_predicate</span><span class="plain-syntax"> *</span><span class="function-syntax">Atoms::to_adjectival_usage</span><button class="popup" onclick="togglePopup('usagePopup13')"><span class="comment-syntax">?</span><span class="popuptext" id="usagePopup13">Usage of <span class="code-font"><span class="function-syntax">Atoms::to_adjectival_usage</span></span>:<br/>Propositions - <a href="4-prp.html#SP30">§30</a></span></button><span class="plain-syntax">(</span><span class="reserved-syntax">pcalc_prop</span><span class="plain-syntax"> *</span><span class="identifier-syntax">prop</span><span class="plain-syntax">) {</span>
|
|
<span class="plain-syntax"> </span><span class="reserved-syntax">return</span><span class="plain-syntax"> </span><span class="identifier-syntax">RETRIEVE_POINTER_unary_predicate</span><span class="plain-syntax">(</span><span class="identifier-syntax">prop</span><span class="plain-syntax">-></span><span class="element-syntax">predicate</span><span class="plain-syntax">);</span>
|
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<span class="plain-syntax">}</span>
|
|
</pre>
|
|
<p class="commentary firstcommentary"><a id="SP10" class="paragraph-anchor"></a><b>§10. Binary predicates. </b></p>
|
|
|
|
<pre class="displayed-code all-displayed-code code-font">
|
|
<span class="reserved-syntax">pcalc_prop</span><span class="plain-syntax"> *</span><span class="function-syntax">Atoms::binary_PREDICATE_new</span><button class="popup" onclick="togglePopup('usagePopup14')"><span class="comment-syntax">?</span><span class="popuptext" id="usagePopup14">Usage of <span class="code-font"><span class="function-syntax">Atoms::binary_PREDICATE_new</span></span>:<br/><a href="4-ap.html#SP11">§11</a><br/>Sentence Conversions - <a href="5-sc.html#SP2_13">§2.13</a>, <a href="5-sc.html#SP3_7">§3.7</a><br/>Simplifications - <a href="5-smp.html#SP3">§3</a>, <a href="5-smp.html#SP14">§14</a></span></button><span class="plain-syntax">(</span><span class="reserved-syntax">binary_predicate</span><span class="plain-syntax"> *</span><span class="identifier-syntax">bp</span><span class="plain-syntax">,</span>
|
|
<span class="plain-syntax"> </span><span class="reserved-syntax">pcalc_term</span><span class="plain-syntax"> </span><span class="identifier-syntax">pt1</span><span class="plain-syntax">, </span><span class="reserved-syntax">pcalc_term</span><span class="plain-syntax"> </span><span class="identifier-syntax">pt2</span><span class="plain-syntax">) {</span>
|
|
<span class="plain-syntax"> </span><span class="reserved-syntax">pcalc_prop</span><span class="plain-syntax"> *</span><span class="identifier-syntax">prop</span><span class="plain-syntax"> = </span><a href="4-ap.html#SP4" class="function-link"><span class="function-syntax">Atoms::new</span></a><span class="plain-syntax">(</span><span class="constant-syntax">PREDICATE_ATOM</span><span class="plain-syntax">);</span>
|
|
<span class="plain-syntax"> </span><span class="identifier-syntax">prop</span><span class="plain-syntax">-></span><span class="identifier-syntax">arity</span><span class="plain-syntax"> = </span><span class="constant-syntax">2</span><span class="plain-syntax">;</span>
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|
<span class="plain-syntax"> </span><span class="identifier-syntax">prop</span><span class="plain-syntax">-></span><span class="identifier-syntax">predicate</span><span class="plain-syntax"> = </span><span class="identifier-syntax">STORE_POINTER_binary_predicate</span><span class="plain-syntax">(</span><span class="identifier-syntax">bp</span><span class="plain-syntax">);</span>
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|
<span class="plain-syntax"> </span><span class="identifier-syntax">prop</span><span class="plain-syntax">-></span><span class="identifier-syntax">terms</span><span class="plain-syntax">[0] = </span><span class="identifier-syntax">pt1</span><span class="plain-syntax">; </span><span class="identifier-syntax">prop</span><span class="plain-syntax">-></span><span class="element-syntax">terms</span><span class="plain-syntax">[1] = </span><span class="identifier-syntax">pt2</span><span class="plain-syntax">;</span>
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|
<span class="plain-syntax"> </span><span class="reserved-syntax">return</span><span class="plain-syntax"> </span><span class="identifier-syntax">prop</span><span class="plain-syntax">;</span>
|
|
<span class="plain-syntax">}</span>
|
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<span class="reserved-syntax">binary_predicate</span><span class="plain-syntax"> *</span><span class="function-syntax">Atoms::is_binary_predicate</span><button class="popup" onclick="togglePopup('usagePopup15')"><span class="comment-syntax">?</span><span class="popuptext" id="usagePopup15">Usage of <span class="code-font"><span class="function-syntax">Atoms::is_binary_predicate</span></span>:<br/>Simplifications - <a href="5-smp.html#SP2">§2</a>, <a href="5-smp.html#SP7">§7</a>, <a href="5-smp.html#SP10">§10</a>, <a href="5-smp.html#SP11">§11</a>, <a href="5-smp.html#SP12">§12</a></span></button><span class="plain-syntax">(</span><span class="reserved-syntax">pcalc_prop</span><span class="plain-syntax"> *</span><span class="identifier-syntax">prop</span><span class="plain-syntax">) {</span>
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|
<span class="plain-syntax"> </span><span class="reserved-syntax">if</span><span class="plain-syntax"> (</span><span class="identifier-syntax">prop</span><span class="plain-syntax"> == </span><span class="identifier-syntax">NULL</span><span class="plain-syntax">) </span><span class="reserved-syntax">return</span><span class="plain-syntax"> </span><span class="identifier-syntax">NULL</span><span class="plain-syntax">;</span>
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|
<span class="plain-syntax"> </span><span class="reserved-syntax">if</span><span class="plain-syntax"> (</span><span class="identifier-syntax">prop</span><span class="plain-syntax">-></span><span class="element-syntax">element</span><span class="plain-syntax"> != </span><span class="constant-syntax">PREDICATE_ATOM</span><span class="plain-syntax">) </span><span class="reserved-syntax">return</span><span class="plain-syntax"> </span><span class="identifier-syntax">NULL</span><span class="plain-syntax">;</span>
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|
<span class="plain-syntax"> </span><span class="reserved-syntax">if</span><span class="plain-syntax"> (</span><span class="identifier-syntax">prop</span><span class="plain-syntax">-></span><span class="element-syntax">arity</span><span class="plain-syntax"> != </span><span class="constant-syntax">2</span><span class="plain-syntax">) </span><span class="reserved-syntax">return</span><span class="plain-syntax"> </span><span class="identifier-syntax">NULL</span><span class="plain-syntax">;</span>
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|
<span class="plain-syntax"> </span><span class="reserved-syntax">return</span><span class="plain-syntax"> </span><span class="identifier-syntax">RETRIEVE_POINTER_binary_predicate</span><span class="plain-syntax">(</span><span class="identifier-syntax">prop</span><span class="plain-syntax">-></span><span class="element-syntax">predicate</span><span class="plain-syntax">);</span>
|
|
<span class="plain-syntax">}</span>
|
|
|
|
<span class="reserved-syntax">int</span><span class="plain-syntax"> </span><span class="function-syntax">Atoms::is_equality_predicate</span><button class="popup" onclick="togglePopup('usagePopup16')"><span class="comment-syntax">?</span><span class="popuptext" id="usagePopup16">Usage of <span class="code-font"><span class="function-syntax">Atoms::is_equality_predicate</span></span>:<br/><a href="4-ap.html#SP12">§12</a><br/>Propositions - <a href="4-prp.html#SP11">§11</a>, <a href="4-prp.html#SP26">§26</a><br/>Simplifications - <a href="5-smp.html#SP2">§2</a>, <a href="5-smp.html#SP6">§6</a>, <a href="5-smp.html#SP13">§13</a>, <a href="5-smp.html#SP16">§16</a></span></button><span class="plain-syntax">(</span><span class="reserved-syntax">pcalc_prop</span><span class="plain-syntax"> *</span><span class="identifier-syntax">prop</span><span class="plain-syntax">) {</span>
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|
<span class="plain-syntax"> </span><span class="reserved-syntax">binary_predicate</span><span class="plain-syntax"> *</span><span class="identifier-syntax">bp</span><span class="plain-syntax"> = </span><a href="4-ap.html#SP10" class="function-link"><span class="function-syntax">Atoms::is_binary_predicate</span></a><span class="plain-syntax">(</span><span class="identifier-syntax">prop</span><span class="plain-syntax">);</span>
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|
<span class="plain-syntax"> </span><span class="reserved-syntax">if</span><span class="plain-syntax"> (</span><span class="identifier-syntax">bp</span><span class="plain-syntax"> == </span><span class="identifier-syntax">R_equality</span><span class="plain-syntax">) </span><span class="reserved-syntax">return</span><span class="plain-syntax"> </span><span class="identifier-syntax">TRUE</span><span class="plain-syntax">;</span>
|
|
<span class="plain-syntax"> </span><span class="reserved-syntax">return</span><span class="plain-syntax"> </span><span class="identifier-syntax">FALSE</span><span class="plain-syntax">;</span>
|
|
<span class="plain-syntax">}</span>
|
|
</pre>
|
|
<p class="commentary firstcommentary"><a id="SP11" class="paragraph-anchor"></a><b>§11. </b>Given \(C\), return the proposition <span class="extract"><span class="extract-syntax">(x == C)</span></span>:
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</p>
|
|
|
|
<pre class="displayed-code all-displayed-code code-font">
|
|
<span class="reserved-syntax">pcalc_prop</span><span class="plain-syntax"> *</span><span class="function-syntax">Atoms::prop_x_is_constant</span><button class="popup" onclick="togglePopup('usagePopup17')"><span class="comment-syntax">?</span><span class="popuptext" id="usagePopup17">Usage of <span class="code-font"><span class="function-syntax">Atoms::prop_x_is_constant</span></span>:<br/>Sentence Conversions - <a href="5-sc.html#SP4_3">§4.3</a></span></button><span class="plain-syntax">(</span><span class="identifier-syntax">parse_node</span><span class="plain-syntax"> *</span><span class="identifier-syntax">C</span><span class="plain-syntax">) {</span>
|
|
<span class="plain-syntax"> </span><span class="reserved-syntax">return</span><span class="plain-syntax"> </span><a href="4-ap.html#SP10" class="function-link"><span class="function-syntax">Atoms::binary_PREDICATE_new</span></a><span class="plain-syntax">(</span><span class="identifier-syntax">R_equality</span><span class="plain-syntax">,</span>
|
|
<span class="plain-syntax"> </span><a href="4-trm.html#SP4" class="function-link"><span class="function-syntax">Terms::new_variable</span></a><span class="plain-syntax">(0), </span><a href="4-trm.html#SP4" class="function-link"><span class="function-syntax">Terms::new_constant</span></a><span class="plain-syntax">(</span><span class="identifier-syntax">C</span><span class="plain-syntax">));</span>
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|
<span class="plain-syntax">}</span>
|
|
</pre>
|
|
<p class="commentary firstcommentary"><a id="SP12" class="paragraph-anchor"></a><b>§12. </b>And conversely:
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|
</p>
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|
|
|
<pre class="displayed-code all-displayed-code code-font">
|
|
<span class="reserved-syntax">pcalc_term</span><span class="plain-syntax"> *</span><span class="function-syntax">Atoms::is_x_equals</span><button class="popup" onclick="togglePopup('usagePopup18')"><span class="comment-syntax">?</span><span class="popuptext" id="usagePopup18">Usage of <span class="code-font"><span class="function-syntax">Atoms::is_x_equals</span></span>:<br/>Sentence Conversions - <a href="5-sc.html#SP3_4">§3.4</a></span></button><span class="plain-syntax">(</span><span class="reserved-syntax">pcalc_prop</span><span class="plain-syntax"> *</span><span class="identifier-syntax">prop</span><span class="plain-syntax">) {</span>
|
|
<span class="plain-syntax"> </span><span class="reserved-syntax">if</span><span class="plain-syntax"> (</span><a href="4-ap.html#SP10" class="function-link"><span class="function-syntax">Atoms::is_equality_predicate</span></a><span class="plain-syntax">(</span><span class="identifier-syntax">prop</span><span class="plain-syntax">) == </span><span class="identifier-syntax">FALSE</span><span class="plain-syntax">) </span><span class="reserved-syntax">return</span><span class="plain-syntax"> </span><span class="identifier-syntax">NULL</span><span class="plain-syntax">;</span>
|
|
<span class="plain-syntax"> </span><span class="reserved-syntax">if</span><span class="plain-syntax"> (</span><span class="identifier-syntax">prop</span><span class="plain-syntax">-></span><span class="element-syntax">terms</span><span class="plain-syntax">[0].</span><span class="element-syntax">variable</span><span class="plain-syntax"> != </span><span class="constant-syntax">0</span><span class="plain-syntax">) </span><span class="reserved-syntax">return</span><span class="plain-syntax"> </span><span class="identifier-syntax">NULL</span><span class="plain-syntax">;</span>
|
|
<span class="plain-syntax"> </span><span class="reserved-syntax">return</span><span class="plain-syntax"> &(</span><span class="identifier-syntax">prop</span><span class="plain-syntax">-></span><span class="element-syntax">terms</span><span class="plain-syntax">[1]);</span>
|
|
<span class="plain-syntax">}</span>
|
|
</pre>
|
|
<p class="commentary firstcommentary"><a id="SP13" class="paragraph-anchor"></a><b>§13. Validating atoms. </b></p>
|
|
|
|
<pre class="displayed-code all-displayed-code code-font">
|
|
<span class="reserved-syntax">char</span><span class="plain-syntax"> *</span><span class="function-syntax">Atoms::validate</span><button class="popup" onclick="togglePopup('usagePopup19')"><span class="comment-syntax">?</span><span class="popuptext" id="usagePopup19">Usage of <span class="code-font"><span class="function-syntax">Atoms::validate</span></span>:<br/>Propositions - <a href="4-prp.html#SP10">§10</a></span></button><span class="plain-syntax">(</span><span class="reserved-syntax">pcalc_prop</span><span class="plain-syntax"> *</span><span class="identifier-syntax">prop</span><span class="plain-syntax">) {</span>
|
|
<span class="plain-syntax"> </span><span class="reserved-syntax">if</span><span class="plain-syntax"> (</span><span class="identifier-syntax">prop</span><span class="plain-syntax"> == </span><span class="identifier-syntax">NULL</span><span class="plain-syntax">) </span><span class="reserved-syntax">return</span><span class="plain-syntax"> </span><span class="identifier-syntax">NULL</span><span class="plain-syntax">;</span>
|
|
<span class="plain-syntax"> </span><span class="reserved-syntax">if</span><span class="plain-syntax"> (</span><span class="identifier-syntax">prop</span><span class="plain-syntax">-></span><span class="element-syntax">arity</span><span class="plain-syntax"> > </span><span class="constant-syntax">MAX_ATOM_ARITY</span><span class="plain-syntax">) </span><span class="reserved-syntax">return</span><span class="plain-syntax"> </span><span class="string-syntax">"atom with overly large arity"</span><span class="plain-syntax">;</span>
|
|
<span class="plain-syntax"> </span><span class="reserved-syntax">if</span><span class="plain-syntax"> (</span><span class="identifier-syntax">prop</span><span class="plain-syntax">-></span><span class="element-syntax">arity</span><span class="plain-syntax"> < </span><span class="constant-syntax">0</span><span class="plain-syntax">) </span><span class="reserved-syntax">return</span><span class="plain-syntax"> </span><span class="string-syntax">"atom with negative arity"</span><span class="plain-syntax">;</span>
|
|
<span class="plain-syntax"> </span><span class="reserved-syntax">if</span><span class="plain-syntax"> (</span><span class="identifier-syntax">prop</span><span class="plain-syntax">-></span><span class="element-syntax">arity</span><span class="plain-syntax"> == </span><span class="constant-syntax">0</span><span class="plain-syntax">) {</span>
|
|
<span class="plain-syntax"> </span><span class="reserved-syntax">if</span><span class="plain-syntax"> (</span><span class="identifier-syntax">prop</span><span class="plain-syntax">-></span><span class="element-syntax">element</span><span class="plain-syntax"> == </span><span class="constant-syntax">PREDICATE_ATOM</span><span class="plain-syntax">) </span><span class="reserved-syntax">return</span><span class="plain-syntax"> </span><span class="string-syntax">"predicate without terms"</span><span class="plain-syntax">;</span>
|
|
<span class="plain-syntax"> </span><span class="reserved-syntax">if</span><span class="plain-syntax"> (</span><span class="identifier-syntax">prop</span><span class="plain-syntax">-></span><span class="element-syntax">element</span><span class="plain-syntax"> == </span><span class="constant-syntax">QUANTIFIER_ATOM</span><span class="plain-syntax">) </span><span class="reserved-syntax">return</span><span class="plain-syntax"> </span><span class="string-syntax">"quantifier without variable"</span><span class="plain-syntax">;</span>
|
|
<span class="plain-syntax"> } </span><span class="reserved-syntax">else</span><span class="plain-syntax"> {</span>
|
|
<span class="plain-syntax"> </span><span class="reserved-syntax">if</span><span class="plain-syntax"> ((</span><span class="identifier-syntax">prop</span><span class="plain-syntax">-></span><span class="element-syntax">element</span><span class="plain-syntax"> != </span><span class="constant-syntax">PREDICATE_ATOM</span><span class="plain-syntax">) && (</span><span class="identifier-syntax">prop</span><span class="plain-syntax">-></span><span class="element-syntax">arity</span><span class="plain-syntax"> != </span><span class="constant-syntax">1</span><span class="plain-syntax">))</span>
|
|
<span class="plain-syntax"> </span><span class="reserved-syntax">return</span><span class="plain-syntax"> </span><span class="string-syntax">"unary atom with other than one term"</span><span class="plain-syntax">;</span>
|
|
<span class="plain-syntax"> </span><span class="reserved-syntax">if</span><span class="plain-syntax"> ((</span><a href="4-ap.html#SP3" class="function-link"><span class="function-syntax">Atoms::is_closer</span></a><span class="plain-syntax">(</span><span class="identifier-syntax">prop</span><span class="plain-syntax">-></span><span class="element-syntax">element</span><span class="plain-syntax">)) || (</span><a href="4-ap.html#SP3" class="function-link"><span class="function-syntax">Atoms::is_opener</span></a><span class="plain-syntax">(</span><span class="identifier-syntax">prop</span><span class="plain-syntax">-></span><span class="element-syntax">element</span><span class="plain-syntax">)))</span>
|
|
<span class="plain-syntax"> </span><span class="reserved-syntax">return</span><span class="plain-syntax"> </span><span class="string-syntax">"parentheses with terms"</span><span class="plain-syntax">;</span>
|
|
<span class="plain-syntax"> }</span>
|
|
<span class="plain-syntax"> </span><span class="reserved-syntax">if</span><span class="plain-syntax"> ((</span><span class="identifier-syntax">prop</span><span class="plain-syntax">-></span><span class="element-syntax">element</span><span class="plain-syntax"> == </span><span class="constant-syntax">QUANTIFIER_ATOM</span><span class="plain-syntax">) && (</span><span class="identifier-syntax">prop</span><span class="plain-syntax">-></span><span class="element-syntax">terms</span><span class="plain-syntax">[0].</span><span class="element-syntax">variable</span><span class="plain-syntax"> == -1))</span>
|
|
<span class="plain-syntax"> </span><span class="reserved-syntax">return</span><span class="plain-syntax"> </span><span class="string-syntax">"missing variable in quantification"</span><span class="plain-syntax">;</span>
|
|
<span class="plain-syntax"> </span><span class="reserved-syntax">return</span><span class="plain-syntax"> </span><span class="identifier-syntax">NULL</span><span class="plain-syntax">;</span>
|
|
<span class="plain-syntax">}</span>
|
|
</pre>
|
|
<p class="commentary firstcommentary"><a id="SP14" class="paragraph-anchor"></a><b>§14. Writing to text. </b>Logging atomic propositions divides into cases:
|
|
</p>
|
|
|
|
<pre class="displayed-code all-displayed-code code-font">
|
|
<span class="reserved-syntax">void</span><span class="plain-syntax"> </span><span class="function-syntax">Atoms::log</span><button class="popup" onclick="togglePopup('usagePopup20')"><span class="comment-syntax">?</span><span class="popuptext" id="usagePopup20">Usage of <span class="code-font"><span class="function-syntax">Atoms::log</span></span>:<br/>Calculus Module - <a href="1-cm.html#SP3">§3</a></span></button><span class="plain-syntax">(</span><span class="reserved-syntax">pcalc_prop</span><span class="plain-syntax"> *</span><span class="identifier-syntax">prop</span><span class="plain-syntax">) {</span>
|
|
<span class="plain-syntax"> </span><a href="4-ap.html#SP14" class="function-link"><span class="function-syntax">Atoms::write</span></a><span class="plain-syntax">(</span><span class="identifier-syntax">DL</span><span class="plain-syntax">, </span><span class="identifier-syntax">prop</span><span class="plain-syntax">);</span>
|
|
<span class="plain-syntax">}</span>
|
|
<span class="reserved-syntax">void</span><span class="plain-syntax"> </span><span class="function-syntax">Atoms::write</span><button class="popup" onclick="togglePopup('usagePopup21')"><span class="comment-syntax">?</span><span class="popuptext" id="usagePopup21">Usage of <span class="code-font"><span class="function-syntax">Atoms::write</span></span>:<br/>Propositions - <a href="4-prp.html#SP7">§7</a></span></button><span class="plain-syntax">(</span><span class="identifier-syntax">text_stream</span><span class="plain-syntax"> *</span><span class="identifier-syntax">OUT</span><span class="plain-syntax">, </span><span class="reserved-syntax">pcalc_prop</span><span class="plain-syntax"> *</span><span class="identifier-syntax">prop</span><span class="plain-syntax">) {</span>
|
|
<span class="plain-syntax"> </span><span class="reserved-syntax">if</span><span class="plain-syntax"> (</span><span class="identifier-syntax">prop</span><span class="plain-syntax"> == </span><span class="identifier-syntax">NULL</span><span class="plain-syntax">) { </span><span class="identifier-syntax">WRITE</span><span class="plain-syntax">(</span><span class="string-syntax">"<null-atom>"</span><span class="plain-syntax">); </span><span class="reserved-syntax">return</span><span class="plain-syntax">; }</span>
|
|
<span class="plain-syntax"> </span><span class="named-paragraph-container code-font"><a href="4-ap.html#SP14_1" class="named-paragraph-link"><span class="named-paragraph">Use a special notation for equality</span><span class="named-paragraph-number">14.1</span></a></span><span class="plain-syntax">;</span>
|
|
<span class="plain-syntax"> </span><span class="reserved-syntax">switch</span><span class="plain-syntax">(</span><span class="identifier-syntax">prop</span><span class="plain-syntax">-></span><span class="element-syntax">element</span><span class="plain-syntax">) {</span>
|
|
<span class="plain-syntax"> </span><span class="reserved-syntax">case</span><span class="plain-syntax"> </span><span class="identifier-syntax">PREDICATE_ATOM:</span>
|
|
<span class="plain-syntax"> </span><span class="reserved-syntax">switch</span><span class="plain-syntax">(</span><span class="identifier-syntax">prop</span><span class="plain-syntax">-></span><span class="element-syntax">arity</span><span class="plain-syntax">) {</span>
|
|
<span class="plain-syntax"> </span><span class="reserved-syntax">case</span><span class="plain-syntax"> </span><span class="constant-syntax">1</span><span class="plain-syntax">: </span><span class="named-paragraph-container code-font"><a href="4-ap.html#SP14_2" class="named-paragraph-link"><span class="named-paragraph">Log some suitable textual name for this unary predicate</span><span class="named-paragraph-number">14.2</span></a></span><span class="plain-syntax">; </span><span class="reserved-syntax">break</span><span class="plain-syntax">;</span>
|
|
<span class="plain-syntax"> </span><span class="reserved-syntax">case</span><span class="plain-syntax"> </span><span class="constant-syntax">2</span><span class="plain-syntax">: </span><span class="named-paragraph-container code-font"><a href="4-ap.html#SP14_3" class="named-paragraph-link"><span class="named-paragraph">Log some suitable textual name for this binary predicate</span><span class="named-paragraph-number">14.3</span></a></span><span class="plain-syntax">; </span><span class="reserved-syntax">break</span><span class="plain-syntax">;</span>
|
|
<span class="plain-syntax"> </span><span class="identifier-syntax">default:</span><span class="plain-syntax"> </span><span class="identifier-syntax">WRITE</span><span class="plain-syntax">(</span><span class="string-syntax">"?exotic-predicate-arity=%d?"</span><span class="plain-syntax">, </span><span class="identifier-syntax">prop</span><span class="plain-syntax">-></span><span class="element-syntax">arity</span><span class="plain-syntax">); </span><span class="reserved-syntax">break</span><span class="plain-syntax">;</span>
|
|
<span class="plain-syntax"> }</span>
|
|
<span class="plain-syntax"> </span><span class="reserved-syntax">break</span><span class="plain-syntax">;</span>
|
|
<span class="plain-syntax"> </span><span class="reserved-syntax">case</span><span class="plain-syntax"> </span><span class="identifier-syntax">QUANTIFIER_ATOM:</span><span class="plain-syntax"> {</span>
|
|
<span class="plain-syntax"> </span><span class="identifier-syntax">quantifier</span><span class="plain-syntax"> *</span><span class="identifier-syntax">quant</span><span class="plain-syntax"> = </span><span class="identifier-syntax">prop</span><span class="plain-syntax">-></span><span class="element-syntax">quant</span><span class="plain-syntax">;</span>
|
|
<span class="plain-syntax"> </span><span class="identifier-syntax">Quantifiers::log</span><span class="plain-syntax">(</span><span class="identifier-syntax">OUT</span><span class="plain-syntax">, </span><span class="identifier-syntax">quant</span><span class="plain-syntax">, </span><span class="identifier-syntax">prop</span><span class="plain-syntax">-></span><span class="element-syntax">quantification_parameter</span><span class="plain-syntax">);</span>
|
|
<span class="plain-syntax"> </span><span class="identifier-syntax">WRITE</span><span class="plain-syntax">(</span><span class="string-syntax">" "</span><span class="plain-syntax">);</span>
|
|
<span class="plain-syntax"> </span><span class="reserved-syntax">break</span><span class="plain-syntax">;</span>
|
|
<span class="plain-syntax"> }</span>
|
|
<span class="plain-syntax"> </span><span class="reserved-syntax">case</span><span class="plain-syntax"> </span><span class="identifier-syntax">NEGATION_OPEN_ATOM:</span><span class="plain-syntax"> </span><span class="identifier-syntax">WRITE</span><span class="plain-syntax">(</span><span class="string-syntax">"NOT<"</span><span class="plain-syntax">); </span><span class="reserved-syntax">break</span><span class="plain-syntax">;</span>
|
|
<span class="plain-syntax"> </span><span class="reserved-syntax">case</span><span class="plain-syntax"> </span><span class="identifier-syntax">NEGATION_CLOSE_ATOM:</span><span class="plain-syntax"> </span><span class="identifier-syntax">WRITE</span><span class="plain-syntax">(</span><span class="string-syntax">"NOT>"</span><span class="plain-syntax">); </span><span class="reserved-syntax">break</span><span class="plain-syntax">;</span>
|
|
<span class="plain-syntax"> </span><span class="reserved-syntax">case</span><span class="plain-syntax"> </span><span class="identifier-syntax">DOMAIN_OPEN_ATOM:</span><span class="plain-syntax"> </span><span class="identifier-syntax">WRITE</span><span class="plain-syntax">(</span><span class="string-syntax">"IN<"</span><span class="plain-syntax">); </span><span class="reserved-syntax">break</span><span class="plain-syntax">;</span>
|
|
<span class="plain-syntax"> </span><span class="reserved-syntax">case</span><span class="plain-syntax"> </span><span class="identifier-syntax">DOMAIN_CLOSE_ATOM:</span><span class="plain-syntax"> </span><span class="identifier-syntax">WRITE</span><span class="plain-syntax">(</span><span class="string-syntax">"IN>"</span><span class="plain-syntax">); </span><span class="reserved-syntax">break</span><span class="plain-syntax">;</span>
|
|
<span class="plain-syntax"> </span><span class="identifier-syntax">default:</span><span class="plain-syntax"> </span><span class="identifier-syntax">WRITE</span><span class="plain-syntax">(</span><span class="string-syntax">"?bad-atom?"</span><span class="plain-syntax">); </span><span class="reserved-syntax">break</span><span class="plain-syntax">;</span>
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<span class="plain-syntax"> }</span>
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<span class="plain-syntax"> </span><span class="reserved-syntax">if</span><span class="plain-syntax"> (</span><span class="identifier-syntax">prop</span><span class="plain-syntax">-></span><span class="element-syntax">arity</span><span class="plain-syntax"> > </span><span class="constant-syntax">0</span><span class="plain-syntax">) {</span>
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<span class="plain-syntax"> </span><span class="reserved-syntax">if</span><span class="plain-syntax"> (</span><span class="identifier-syntax">prop</span><span class="plain-syntax">-></span><span class="element-syntax">element</span><span class="plain-syntax"> != </span><span class="constant-syntax">QUANTIFIER_ATOM</span><span class="plain-syntax">) </span><span class="identifier-syntax">WRITE</span><span class="plain-syntax">(</span><span class="string-syntax">"("</span><span class="plain-syntax">);</span>
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<span class="plain-syntax"> </span><span class="named-paragraph-container code-font"><a href="4-ap.html#SP14_4" class="named-paragraph-link"><span class="named-paragraph">Log a comma-separated list of terms for this atomic proposition</span><span class="named-paragraph-number">14.4</span></a></span><span class="plain-syntax">;</span>
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<span class="plain-syntax"> </span><span class="reserved-syntax">if</span><span class="plain-syntax"> (</span><span class="identifier-syntax">prop</span><span class="plain-syntax">-></span><span class="element-syntax">element</span><span class="plain-syntax"> != </span><span class="constant-syntax">QUANTIFIER_ATOM</span><span class="plain-syntax">) </span><span class="identifier-syntax">WRITE</span><span class="plain-syntax">(</span><span class="string-syntax">")"</span><span class="plain-syntax">);</span>
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<span class="plain-syntax"> }</span>
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<span class="plain-syntax">}</span>
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</pre>
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<p class="commentary firstcommentary"><a id="SP14_1" class="paragraph-anchor"></a><b>§14.1. </b><span class="named-paragraph-container code-font"><span class="named-paragraph-defn">Use a special notation for equality</span><span class="named-paragraph-number">14.1</span></span><span class="comment-syntax"> =</span>
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</p>
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|
|
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<pre class="displayed-code all-displayed-code code-font">
|
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<span class="plain-syntax"> </span><span class="reserved-syntax">if</span><span class="plain-syntax"> ((</span><span class="identifier-syntax">prop</span><span class="plain-syntax">-></span><span class="element-syntax">element</span><span class="plain-syntax"> == </span><span class="constant-syntax">PREDICATE_ATOM</span><span class="plain-syntax">) && (</span><span class="identifier-syntax">prop</span><span class="plain-syntax">-></span><span class="element-syntax">arity</span><span class="plain-syntax"> == </span><span class="constant-syntax">2</span><span class="plain-syntax">) &&</span>
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<span class="plain-syntax"> (</span><span class="identifier-syntax">RETRIEVE_POINTER_binary_predicate</span><span class="plain-syntax">(</span><span class="identifier-syntax">prop</span><span class="plain-syntax">-></span><span class="element-syntax">predicate</span><span class="plain-syntax">) == </span><span class="identifier-syntax">R_equality</span><span class="plain-syntax">)) {</span>
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<span class="plain-syntax"> </span><span class="identifier-syntax">WRITE</span><span class="plain-syntax">(</span><span class="string-syntax">"("</span><span class="plain-syntax">);</span>
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<span class="plain-syntax"> </span><a href="4-trm.html#SP11" class="function-link"><span class="function-syntax">Terms::write</span></a><span class="plain-syntax">(</span><span class="identifier-syntax">OUT</span><span class="plain-syntax">, &(</span><span class="identifier-syntax">prop</span><span class="plain-syntax">-></span><span class="element-syntax">terms</span><span class="plain-syntax">[0]));</span>
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<span class="plain-syntax"> </span><span class="identifier-syntax">WRITE</span><span class="plain-syntax">(</span><span class="string-syntax">" == "</span><span class="plain-syntax">);</span>
|
|
<span class="plain-syntax"> </span><a href="4-trm.html#SP11" class="function-link"><span class="function-syntax">Terms::write</span></a><span class="plain-syntax">(</span><span class="identifier-syntax">OUT</span><span class="plain-syntax">, &(</span><span class="identifier-syntax">prop</span><span class="plain-syntax">-></span><span class="element-syntax">terms</span><span class="plain-syntax">[1]));</span>
|
|
<span class="plain-syntax"> </span><span class="identifier-syntax">WRITE</span><span class="plain-syntax">(</span><span class="string-syntax">")"</span><span class="plain-syntax">);</span>
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|
<span class="plain-syntax"> </span><span class="reserved-syntax">return</span><span class="plain-syntax">;</span>
|
|
<span class="plain-syntax"> }</span>
|
|
</pre>
|
|
<ul class="endnotetexts"><li>This code is used in <a href="4-ap.html#SP14">§14</a>.</li></ul>
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|
<p class="commentary firstcommentary"><a id="SP14_2" class="paragraph-anchor"></a><b>§14.2. </b><span class="named-paragraph-container code-font"><span class="named-paragraph-defn">Log some suitable textual name for this unary predicate</span><span class="named-paragraph-number">14.2</span></span><span class="comment-syntax"> =</span>
|
|
</p>
|
|
|
|
<pre class="displayed-code all-displayed-code code-font">
|
|
<span class="plain-syntax"> </span><span class="reserved-syntax">unary_predicate</span><span class="plain-syntax"> *</span><span class="identifier-syntax">tr</span><span class="plain-syntax"> = </span><span class="identifier-syntax">RETRIEVE_POINTER_unary_predicate</span><span class="plain-syntax">(</span><span class="identifier-syntax">prop</span><span class="plain-syntax">-></span><span class="element-syntax">predicate</span><span class="plain-syntax">);</span>
|
|
<span class="plain-syntax"> </span><a href="2-upf.html#SP9" class="function-link"><span class="function-syntax">UnaryPredicateFamilies::log</span></a><span class="plain-syntax">(</span><span class="identifier-syntax">OUT</span><span class="plain-syntax">, </span><span class="identifier-syntax">tr</span><span class="plain-syntax">);</span>
|
|
</pre>
|
|
<ul class="endnotetexts"><li>This code is used in <a href="4-ap.html#SP14">§14</a>.</li></ul>
|
|
<p class="commentary firstcommentary"><a id="SP14_3" class="paragraph-anchor"></a><b>§14.3. </b><span class="named-paragraph-container code-font"><span class="named-paragraph-defn">Log some suitable textual name for this binary predicate</span><span class="named-paragraph-number">14.3</span></span><span class="comment-syntax"> =</span>
|
|
</p>
|
|
|
|
<pre class="displayed-code all-displayed-code code-font">
|
|
<span class="plain-syntax"> </span><span class="reserved-syntax">binary_predicate</span><span class="plain-syntax"> *</span><span class="identifier-syntax">bp</span><span class="plain-syntax"> = </span><span class="identifier-syntax">RETRIEVE_POINTER_binary_predicate</span><span class="plain-syntax">(</span><span class="identifier-syntax">prop</span><span class="plain-syntax">-></span><span class="element-syntax">predicate</span><span class="plain-syntax">);</span>
|
|
<span class="plain-syntax"> </span><span class="reserved-syntax">if</span><span class="plain-syntax"> (</span><span class="identifier-syntax">bp</span><span class="plain-syntax"> == </span><span class="identifier-syntax">NULL</span><span class="plain-syntax">) </span><span class="identifier-syntax">WRITE</span><span class="plain-syntax">(</span><span class="string-syntax">"?bad-bp?"</span><span class="plain-syntax">); </span><span class="reserved-syntax">else</span><span class="plain-syntax"> </span><span class="identifier-syntax">WRITE</span><span class="plain-syntax">(</span><span class="string-syntax">"%S"</span><span class="plain-syntax">, </span><a href="3-bp.html#SP14" class="function-link"><span class="function-syntax">BinaryPredicates::get_log_name</span></a><span class="plain-syntax">(</span><span class="identifier-syntax">bp</span><span class="plain-syntax">));</span>
|
|
</pre>
|
|
<ul class="endnotetexts"><li>This code is used in <a href="4-ap.html#SP14">§14</a>.</li></ul>
|
|
<p class="commentary firstcommentary"><a id="SP14_4" class="paragraph-anchor"></a><b>§14.4. </b><span class="named-paragraph-container code-font"><span class="named-paragraph-defn">Log a comma-separated list of terms for this atomic proposition</span><span class="named-paragraph-number">14.4</span></span><span class="comment-syntax"> =</span>
|
|
</p>
|
|
|
|
<pre class="displayed-code all-displayed-code code-font">
|
|
<span class="plain-syntax"> </span><span class="reserved-syntax">for</span><span class="plain-syntax"> (</span><span class="reserved-syntax">int</span><span class="plain-syntax"> </span><span class="identifier-syntax">t</span><span class="plain-syntax">=0; </span><span class="identifier-syntax">t</span><span class="function-syntax"><prop-></span><span class="element-syntax">arity</span><span class="plain-syntax">; </span><span class="identifier-syntax">t</span><span class="plain-syntax">++) {</span>
|
|
<span class="plain-syntax"> </span><span class="reserved-syntax">if</span><span class="plain-syntax"> (</span><span class="identifier-syntax">t</span><span class="plain-syntax">>0) </span><span class="identifier-syntax">WRITE</span><span class="plain-syntax">(</span><span class="string-syntax">", "</span><span class="plain-syntax">);</span>
|
|
<span class="plain-syntax"> </span><a href="4-trm.html#SP11" class="function-link"><span class="function-syntax">Terms::write</span></a><span class="plain-syntax">(</span><span class="identifier-syntax">OUT</span><span class="plain-syntax">, &(</span><span class="identifier-syntax">prop</span><span class="plain-syntax">-></span><span class="element-syntax">terms</span><span class="plain-syntax">[</span><span class="identifier-syntax">t</span><span class="plain-syntax">]));</span>
|
|
<span class="plain-syntax"> }</span>
|
|
</pre>
|
|
<ul class="endnotetexts"><li>This code is used in <a href="4-ap.html#SP14">§14</a>.</li></ul>
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