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<!--Weave of 'Atomic Propositions' generated by 7-->
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<ul class="crumbs"><li><a href="../index.html">Home</a></li><li><a href="../compiler.html">Inform7 Modules</a></li><li><a href="index.html">core</a></li><li><a href="index.html#11">Chapter 11: Predicate Calculus</a></li><li><b>Atomic Propositions</b></li></ul><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="11-ap.html#SP1">§1. Definitions</a></li><li><a href="11-ap.html#SP5">§5. The elements</a></li><li><a href="11-ap.html#SP7">§7. Creating atoms</a></li><li><a href="11-ap.html#SP8">§8. The STRUCTURAL group</a></li><li><a href="11-ap.html#SP11">§11. The PREDICATES group</a></li><li><a href="11-ap.html#SP24">§24. Validating atoms</a></li><li><a href="11-ap.html#SP25">§25. Debugging log</a></li></ul><hr class="tocbar">
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<p class="inwebparagraph"><a id="SP1"></a><b>§1. Definitions. </b></p>
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<p class="inwebparagraph"><a id="SP2"></a><b>§2. </b>As the description in the Introduction showed, propositions are complicated
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data structures. Roughly speaking, they are made up of small independent pieces
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which can be combined in a variety of ways into larger assemblies. In this
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section, we look at the smallest pieces: some of these could be propositions in
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their own right, others are only structural items needed to form up the
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larger collections. But each individual piece, or "atom", is stored in
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a <code class="display"><span class="extract">pcalc_prop</span></code> structure.
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</p>
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<p class="inwebparagraph">The question of how these are joined together is left until the next section.
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</p>
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<pre class="definitions">
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<span class="definitionkeyword">define</span> <span class="constant">MAX_ATOM_ARITY</span><span class="plain"> </span><span class="constant">2</span><span class="plain"> </span><span class="comment"> for the moment, at any rate</span>
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</pre>
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<pre class="display">
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<span class="reserved">typedef</span><span class="plain"> </span><span class="reserved">struct</span><span class="plain"> </span><span class="reserved">pcalc_prop</span><span class="plain"> {</span>
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<span class="reserved">int</span><span class="plain"> </span><span class="identifier">element</span><span class="plain">; </span><span class="comment"> one of the constants below: always 1 or greater</span>
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<span class="reserved">int</span><span class="plain"> </span><span class="identifier">arity</span><span class="plain">; </span><span class="comment"> 1 for quantifiers and unary predicates; 2 for BPs; 0 otherwise</span>
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<span class="reserved">struct</span><span class="plain"> </span><span class="identifier">general_pointer</span><span class="plain"> </span><span class="identifier">predicate</span><span class="plain">; </span><span class="comment"> usually indicates which predicate structure is meant</span>
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<span class="reserved">struct</span><span class="plain"> </span><span class="reserved">pcalc_term</span><span class="plain"> </span><span class="identifier">terms</span><span class="plain">[</span><span class="constant">MAX_ATOM_ARITY</span><span class="plain">]; </span><span class="comment"> terms to which the predicate applies</span>
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<span class="reserved">struct</span><span class="plain"> </span><span class="identifier">kind</span><span class="plain"> *</span><span class="identifier">assert_kind</span><span class="plain">; </span><span class="comment"> <code class="display"><span class="extract">KIND_ATOM</span></code>: the kind of value of a variable</span>
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<span class="reserved">int</span><span class="plain"> </span><span class="identifier">composited</span><span class="plain">; </span><span class="comment"> <code class="display"><span class="extract">KIND_ATOM</span></code>: arises from a composite determiner/noun like "somewhere"</span>
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<span class="reserved">int</span><span class="plain"> </span><span class="identifier">unarticled</span><span class="plain">; </span><span class="comment"> <code class="display"><span class="extract">KIND_ATOM</span></code>: arises from an unarticled usage like "vehicle", not "a vehicle"</span>
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<span class="reserved">struct</span><span class="plain"> </span><span class="identifier">wording</span><span class="plain"> </span><span class="identifier">calling_name</span><span class="plain">; </span><span class="comment"> <code class="display"><span class="extract">CALLED_ATOM</span></code>: text of the name this is called</span>
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<span class="reserved">int</span><span class="plain"> </span><span class="identifier">quantification_parameter</span><span class="plain">; </span><span class="comment"> <code class="display"><span class="extract">QUANTIFIER_ATOM</span></code>: e.g., the 3 in "all three"</span>
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<span class="reserved">struct</span><span class="plain"> </span><span class="reserved">pcalc_prop</span><span class="plain"> *</span><span class="identifier">next</span><span class="plain">; </span><span class="comment"> next atom in the list for this proposition</span>
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<span class="plain">} </span><span class="reserved">pcalc_prop</span><span class="plain">;</span>
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</pre>
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<p class="inwebparagraph"></p>
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<p class="endnote">The structure pcalc_prop is accessed in 3/pd, 5/lp, 5/ut, 5/un, 5/ins, 6/rlt, 6/nv, 7/ns, 7/oaf, 7/rs, 9/tfa, 9/tbath, 9/rpt, 9/tc, 9/ma, 9/rk, 9/ass, 9/imp, 9/pd, 10/teav, 10/cap, 11/pr, 11/bas, 11/tc, 11/sc, 11/sm, 11/tcp, 12/ap, 12/ca, 12/dtd, 12/cad, 12/cdp, 14/rv, 14/lv, 14/cn, 14/ds, 14/ds2, 15/cp, 16/is, 16/in, 19/tb, 19/rsft, 19/tod, 20/eq, 21/rl, 21/rl2, 21/fao, 21/rps, 21/sv, 21/ac, 22/ph, 22/tp, 22/tp2, 23/ad, 24/lv, 24/sf, 25/in, 25/pi, 25/cii, 25/cp, 26/uo, 26/tti, 26/pc, 26/ts, 27/cm and here.</p>
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<p class="inwebparagraph"><a id="SP3"></a><b>§3. </b>The Universe is filled with atoms, but they come in different kinds, called
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elements. For us, an "element" is the identifying number, stored in the
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<code class="display"><span class="extract">element</span></code> field, which tells Inform what kind of atom something is. The
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following is our Periodic Table of all possible elements:
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</p>
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<pre class="definitions">
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<span class="definitionkeyword">define</span> <span class="constant">QUANTIFIER_ATOM</span><span class="plain"> </span><span class="constant">1</span><span class="plain"> </span><span class="comment"> any generalised quantifier</span>
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<span class="definitionkeyword">define</span> <span class="constant">PREDICATE_ATOM</span><span class="plain"> </span><span class="constant">10</span><span class="plain"> </span><span class="comment"> a property-based unary predicate, or any predicate of higher arity</span>
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<span class="definitionkeyword">define</span> <span class="constant">KIND_ATOM</span><span class="plain"> </span><span class="constant">11</span><span class="plain"> </span><span class="comment"> a unary predicate \(K(x)\) associated with a kind \(K\)</span>
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<span class="definitionkeyword">define</span> <span class="constant">ISAKIND_ATOM</span><span class="plain"> </span><span class="constant">12</span><span class="plain"> </span><span class="comment"> a unary predicate asserting that \(x\) is the world-object for a kind</span>
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<span class="definitionkeyword">define</span> <span class="constant">ISAVAR_ATOM</span><span class="plain"> </span><span class="constant">13</span><span class="plain"> </span><span class="comment"> a unary predicate asserting that \(x\) is the SP for a global variable</span>
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<span class="definitionkeyword">define</span> <span class="constant">ISACONST_ATOM</span><span class="plain"> </span><span class="constant">14</span><span class="plain"> </span><span class="comment"> a unary predicate asserting that \(x\) is the SP for a named constant</span>
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<span class="definitionkeyword">define</span> <span class="constant">EVERYWHERE_ATOM</span><span class="plain"> </span><span class="constant">15</span><span class="plain"> </span><span class="comment"> a unary predicate asserting omnipresence</span>
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<span class="definitionkeyword">define</span> <span class="constant">NOWHERE_ATOM</span><span class="plain"> </span><span class="constant">16</span><span class="plain"> </span><span class="comment"> a unary predicate asserting nonpresence</span>
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<span class="definitionkeyword">define</span> <span class="constant">HERE_ATOM</span><span class="plain"> </span><span class="constant">17</span><span class="plain"> </span><span class="comment"> a unary predicate asserting presence "here"</span>
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<span class="definitionkeyword">define</span> <span class="constant">CALLED_ATOM</span><span class="plain"> </span><span class="constant">18</span><span class="plain"> </span><span class="comment"> to keep track of "(called the intruder)"-style names</span>
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<span class="definitionkeyword">define</span> <span class="constant">NEGATION_OPEN_ATOM</span><span class="plain"> </span><span class="constant">20</span><span class="plain"> </span><span class="comment"> logical negation \(\lnot\) applied to contents of group</span>
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<span class="definitionkeyword">define</span> <span class="constant">NEGATION_CLOSE_ATOM</span><span class="plain"> </span><span class="constant">30</span><span class="plain"> </span><span class="comment"> end of logical negation \(\lnot\)</span>
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<span class="definitionkeyword">define</span> <span class="constant">DOMAIN_OPEN_ATOM</span><span class="plain"> </span><span class="constant">21</span><span class="plain"> </span><span class="comment"> logical negation \(\lnot\) applied to contents of group</span>
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<span class="definitionkeyword">define</span> <span class="constant">DOMAIN_CLOSE_ATOM</span><span class="plain"> </span><span class="constant">31</span><span class="plain"> </span><span class="comment"> end of logical negation \(\lnot\)</span>
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</pre>
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<p class="inwebparagraph"><a id="SP4"></a><b>§4. </b>And as with columns in the Periodic Table, these elements come in what are
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called "groups", because it often happens that atoms of different elements
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behave similarly when the elements have something in common.
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</p>
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<pre class="definitions">
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<span class="definitionkeyword">define</span> <span class="constant">STRUCTURAL_GROUP</span><span class="plain"> </span><span class="constant">10</span>
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<span class="definitionkeyword">define</span> <span class="constant">PREDICATES_GROUP</span><span class="plain"> </span><span class="constant">20</span>
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<span class="definitionkeyword">define</span> <span class="constant">OPEN_OPERATORS_GROUP</span><span class="plain"> </span><span class="constant">30</span>
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<span class="definitionkeyword">define</span> <span class="constant">CLOSE_OPERATORS_GROUP</span><span class="plain"> </span><span class="constant">40</span>
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</pre>
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<p class="inwebparagraph"><a id="SP5"></a><b>§5. The elements. </b>Given an element, the following returns the group to which it belongs.
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</p>
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<pre class="display">
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<span class="reserved">int</span><span class="plain"> </span><span class="functiontext">Calculus::Atoms::element_get_group<button class="popup" onclick="togglePopup('usagePopup618')">...<span class="popuptext" id="usagePopup618">Usage of <b>Calculus::Atoms::element_get_group</b>:<br><a href="11-ap.html#SP24">§24</a>, Propositions - <a href="11-pr.html#SP7">§7</a>, <a href="11-pr.html#SP12">§12</a>, <a href="11-pr.html#SP29">§29</a><br>Binding and Substitution - <a href="11-bas.html#SP4">§4</a><br>Simplifications - <a href="11-sm.html#SP10_1">§10.1</a>, <a href="11-sm.html#SP10_2">§10.2</a>, <a href="11-sm.html#SP10_3">§10.3</a>, <a href="11-sm.html#SP10_3_1">§10.3.1</a>, <a href="11-sm.html#SP10_4">§10.4</a>, <a href="11-sm.html#SP14">§14</a>, <a href="11-sm.html#SP14_1">§14.1</a><br>Compile Deferred Propositions - <a href="12-cdp.html#SP5_1">§5.1</a></span></button></span><span class="plain">(</span><span class="reserved">int</span><span class="plain"> </span><span class="identifier">element</span><span class="plain">) {</span>
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<span class="reserved">if</span><span class="plain"> (</span><span class="identifier">element</span><span class="plain"> <= </span><span class="constant">0</span><span class="plain">) </span><span class="reserved">return</span><span class="plain"> </span><span class="constant">0</span><span class="plain">;</span>
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<span class="reserved">if</span><span class="plain"> (</span><span class="identifier">element</span><span class="plain"> < </span><span class="constant">STRUCTURAL_GROUP</span><span class="plain">) </span><span class="reserved">return</span><span class="plain"> </span><span class="constant">STRUCTURAL_GROUP</span><span class="plain">;</span>
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<span class="reserved">if</span><span class="plain"> (</span><span class="identifier">element</span><span class="plain"> < </span><span class="constant">PREDICATES_GROUP</span><span class="plain">) </span><span class="reserved">return</span><span class="plain"> </span><span class="constant">PREDICATES_GROUP</span><span class="plain">;</span>
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<span class="reserved">if</span><span class="plain"> (</span><span class="identifier">element</span><span class="plain"> < </span><span class="constant">OPEN_OPERATORS_GROUP</span><span class="plain">) </span><span class="reserved">return</span><span class="plain"> </span><span class="constant">OPEN_OPERATORS_GROUP</span><span class="plain">;</span>
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<span class="reserved">if</span><span class="plain"> (</span><span class="identifier">element</span><span class="plain"> < </span><span class="constant">CLOSE_OPERATORS_GROUP</span><span class="plain">) </span><span class="reserved">return</span><span class="plain"> </span><span class="constant">CLOSE_OPERATORS_GROUP</span><span class="plain">;</span>
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<span class="reserved">return</span><span class="plain"> </span><span class="constant">0</span><span class="plain">;</span>
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<span class="plain">}</span>
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</pre>
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<p class="inwebparagraph"></p>
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<p class="inwebparagraph"><a id="SP6"></a><b>§6. </b>Some atoms occur in pairs, which have to match like opening and closing
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parentheses. The following returns 0 for an element code which does not behave
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like this, or else returns the opposite number to any element code which does.
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</p>
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<pre class="display">
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<span class="reserved">int</span><span class="plain"> </span><span class="functiontext">Calculus::Atoms::element_get_match<button class="popup" onclick="togglePopup('usagePopup619')">...<span class="popuptext" id="usagePopup619">Usage of <b>Calculus::Atoms::element_get_match</b>:<br>Propositions - <a href="11-pr.html#SP12">§12</a>, <a href="11-pr.html#SP29">§29</a>, <a href="11-pr.html#SP32">§32</a></span></button></span><span class="plain">(</span><span class="reserved">int</span><span class="plain"> </span><span class="identifier">element</span><span class="plain">) {</span>
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<span class="reserved">switch</span><span class="plain"> (</span><span class="identifier">element</span><span class="plain">) {</span>
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<span class="reserved">case</span><span class="plain"> </span><span class="identifier">NEGATION_OPEN_ATOM:</span><span class="plain"> </span><span class="reserved">return</span><span class="plain"> </span><span class="constant">NEGATION_CLOSE_ATOM</span><span class="plain">;</span>
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<span class="reserved">case</span><span class="plain"> </span><span class="identifier">NEGATION_CLOSE_ATOM:</span><span class="plain"> </span><span class="reserved">return</span><span class="plain"> </span><span class="constant">NEGATION_OPEN_ATOM</span><span class="plain">;</span>
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<span class="reserved">case</span><span class="plain"> </span><span class="identifier">DOMAIN_OPEN_ATOM:</span><span class="plain"> </span><span class="reserved">return</span><span class="plain"> </span><span class="constant">DOMAIN_CLOSE_ATOM</span><span class="plain">;</span>
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<span class="reserved">case</span><span class="plain"> </span><span class="identifier">DOMAIN_CLOSE_ATOM:</span><span class="plain"> </span><span class="reserved">return</span><span class="plain"> </span><span class="constant">DOMAIN_OPEN_ATOM</span><span class="plain">;</span>
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<span class="identifier">default:</span><span class="plain"> </span><span class="reserved">return</span><span class="plain"> </span><span class="constant">0</span><span class="plain">;</span>
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<span class="plain">}</span>
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<span class="plain">}</span>
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</pre>
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<p class="inwebparagraph"></p>
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<p class="inwebparagraph"><a id="SP7"></a><b>§7. Creating atoms. </b>Every atom is created by the following routine:
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</p>
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<pre class="display">
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<span class="reserved">pcalc_prop</span><span class="plain"> *</span><span class="functiontext">Calculus::Atoms::new<button class="popup" onclick="togglePopup('usagePopup620')">...<span class="popuptext" id="usagePopup620">Usage of <b>Calculus::Atoms::new</b>:<br><a href="11-ap.html#SP8">§8</a>, <a href="11-ap.html#SP11">§11</a>, <a href="11-ap.html#SP12">§12</a>, <a href="11-ap.html#SP13">§13</a>, <a href="11-ap.html#SP14">§14</a>, <a href="11-ap.html#SP15">§15</a>, <a href="11-ap.html#SP16">§16</a>, <a href="11-ap.html#SP17">§17</a>, <a href="11-ap.html#SP18">§18</a>, <a href="11-ap.html#SP20">§20</a>, <a href="11-ap.html#SP21">§21</a>, Implications - <a href="9-imp.html#SP7_1_3">§7.1.3</a><br>Propositions - <a href="11-pr.html#SP14">§14</a><br>Tree Conversions - <a href="11-tc.html#SP7_2">§7.2</a><br>Sentence Conversions - <a href="11-sc.html#SP1_13">§1.13</a>, <a href="11-sc.html#SP3_8">§3.8</a><br>Simplifications - <a href="11-sm.html#SP3_2">§3.2</a>, <a href="11-sm.html#SP6">§6</a>, <a href="11-sm.html#SP7">§7</a>, <a href="11-sm.html#SP19">§19</a><br>Deciding to Defer - <a href="12-dtd.html#SP13">§13</a><br>Descriptions - <a href="14-ds.html#SP9">§9</a></span></button></span><span class="plain">(</span><span class="reserved">int</span><span class="plain"> </span><span class="identifier">element</span><span class="plain">) {</span>
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<span class="reserved">pcalc_prop</span><span class="plain"> *</span><span class="identifier">prop</span><span class="plain"> = </span><span class="identifier">CREATE</span><span class="plain">(</span><span class="reserved">pcalc_prop</span><span class="plain">);</span>
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<span class="identifier">prop</span><span class="plain">-></span><span class="element">next</span><span class="plain"> = </span><span class="identifier">NULL</span><span class="plain">;</span>
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<span class="identifier">prop</span><span class="plain">-></span><span class="element">element</span><span class="plain"> = </span><span class="identifier">element</span><span class="plain">;</span>
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<span class="identifier">prop</span><span class="plain">-></span><span class="element">assert_kind</span><span class="plain"> = </span><span class="identifier">NULL</span><span class="plain">;</span>
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<span class="identifier">prop</span><span class="plain">-></span><span class="element">composited</span><span class="plain"> = </span><span class="identifier">FALSE</span><span class="plain">;</span>
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<span class="identifier">prop</span><span class="plain">-></span><span class="element">unarticled</span><span class="plain"> = </span><span class="identifier">FALSE</span><span class="plain">;</span>
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<span class="identifier">prop</span><span class="plain">-></span><span class="element">arity</span><span class="plain"> = </span><span class="constant">0</span><span class="plain">;</span>
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<span class="identifier">prop</span><span class="plain">-></span><span class="element">predicate</span><span class="plain"> = </span><span class="identifier">NULL_GENERAL_POINTER</span><span class="plain">;</span>
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|
<span class="reserved">return</span><span class="plain"> </span><span class="identifier">prop</span><span class="plain">;</span>
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|
<span class="plain">}</span>
|
|
</pre>
|
|
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<p class="inwebparagraph"></p>
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|
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<p class="inwebparagraph"><a id="SP8"></a><b>§8. The STRUCTURAL group. </b>Some convenient routines to handle atoms of specific elements now follow:
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|
first, <code class="display"><span class="extract">QUANTIFIER</span></code> atoms. These have arity 1, and the single term must always
|
|
be a variable, the one which is being bound. The parameter is a number
|
|
needed for some <code class="display"><span class="extract">quantifier</span></code> types to identify the range: for instance,
|
|
it would be 7 in the case of \(V_{=7}\).
|
|
</p>
|
|
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|
<p class="inwebparagraph">Tying specific variables to quantifiers seems to be out of fashion in
|
|
modern computer science. Contemporary theorem-proving assistants mostly
|
|
use de Bruijn's numbering scheme, in which numbers 1, 2, 3, ..., refer
|
|
to variables being quantified in an indirect way. The advantage is that
|
|
propositions are easier to construct, since the same numbers can be used
|
|
in different subexpressions of the same proposition, and there's no
|
|
worrying about clashes. But it all just moves the difficulty elsewhere,
|
|
by making it less obvious how to pair up the numbers with variables at
|
|
compilation time, and less obvious even how many variables are needed.
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|
So we stick to the old-fashioned way of imitating \(\forall x: P(x)\)
|
|
rather than \(\forall 1. P\).
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|
</p>
|
|
|
|
<pre class="display">
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|
<span class="reserved">pcalc_prop</span><span class="plain"> *</span><span class="functiontext">Calculus::Atoms::QUANTIFIER_new<button class="popup" onclick="togglePopup('usagePopup621')">...<span class="popuptext" id="usagePopup621">Usage of <b>Calculus::Atoms::QUANTIFIER_new</b>:<br>Binding and Substitution - <a href="11-bas.html#SP12">§12</a><br>Tree Conversions - <a href="11-tc.html#SP1">§1</a><br>Simplifications - <a href="11-sm.html#SP3_2">§3.2</a>, <a href="11-sm.html#SP4">§4</a><br>Descriptions - <a href="14-ds.html#SP9">§9</a></span></button></span><span class="plain">(</span><span class="identifier">quantifier</span><span class="plain"> *</span><span class="identifier">quant</span><span class="plain">, </span><span class="reserved">int</span><span class="plain"> </span><span class="identifier">v</span><span class="plain">, </span><span class="reserved">int</span><span class="plain"> </span><span class="identifier">parameter</span><span class="plain">) {</span>
|
|
<span class="reserved">pcalc_prop</span><span class="plain"> *</span><span class="identifier">prop</span><span class="plain"> = </span><span class="functiontext"><a href="11-ap.html#SP7">Calculus::Atoms::new</a></span><span class="plain">(</span><span class="constant">QUANTIFIER_ATOM</span><span class="plain">);</span>
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|
<span class="identifier">prop</span><span class="plain">-></span><span class="element">arity</span><span class="plain"> = </span><span class="constant">1</span><span class="plain">;</span>
|
|
<span class="identifier">prop</span><span class="plain">-></span><span class="element">terms</span><span class="plain">[0] = </span><span class="functiontext"><a href="11-tr.html#SP4">Calculus::Terms::new_variable</a></span><span class="plain">(</span><span class="identifier">v</span><span class="plain">);</span>
|
|
<span class="identifier">prop</span><span class="plain">-></span><span class="element">predicate</span><span class="plain"> = </span><span class="identifier">STORE_POINTER_quantifier</span><span class="plain">(</span><span class="identifier">quant</span><span class="plain">);</span>
|
|
<span class="identifier">prop</span><span class="plain">-></span><span class="element">quantification_parameter</span><span class="plain"> = </span><span class="identifier">parameter</span><span class="plain">;</span>
|
|
<span class="reserved">return</span><span class="plain"> </span><span class="identifier">prop</span><span class="plain">;</span>
|
|
<span class="plain">}</span>
|
|
</pre>
|
|
|
|
<p class="inwebparagraph"></p>
|
|
|
|
<p class="inwebparagraph"><a id="SP9"></a><b>§9. </b>Quantifier atoms can be detected as follows:
|
|
</p>
|
|
|
|
<pre class="display">
|
|
<span class="reserved">int</span><span class="plain"> </span><span class="functiontext">Calculus::Atoms::is_quantifier<button class="popup" onclick="togglePopup('usagePopup622')">...<span class="popuptext" id="usagePopup622">Usage of <b>Calculus::Atoms::is_quantifier</b>:<br>Propositions - <a href="11-pr.html#SP12">§12</a><br>Simplifications - <a href="11-sm.html#SP14_1">§14.1</a></span></button></span><span class="plain">(</span><span class="reserved">pcalc_prop</span><span class="plain"> *</span><span class="identifier">prop</span><span class="plain">) {</span>
|
|
<span class="reserved">if</span><span class="plain"> ((</span><span class="identifier">prop</span><span class="plain">) && (</span><span class="identifier">prop</span><span class="plain">-></span><span class="element">element</span><span class="plain"> == </span><span class="constant">QUANTIFIER_ATOM</span><span class="plain">)) </span><span class="reserved">return</span><span class="plain"> </span><span class="identifier">TRUE</span><span class="plain">;</span>
|
|
<span class="reserved">return</span><span class="plain"> </span><span class="identifier">FALSE</span><span class="plain">;</span>
|
|
<span class="plain">}</span>
|
|
|
|
<span class="identifier">quantifier</span><span class="plain"> *</span><span class="functiontext">Calculus::Atoms::get_quantifier<button class="popup" onclick="togglePopup('usagePopup623')">...<span class="popuptext" id="usagePopup623">Usage of <b>Calculus::Atoms::get_quantifier</b>:<br>Descriptions - <a href="14-ds.html#SP9">§9</a></span></button></span><span class="plain">(</span><span class="reserved">pcalc_prop</span><span class="plain"> *</span><span class="identifier">prop</span><span class="plain">) {</span>
|
|
<span class="reserved">if</span><span class="plain"> ((</span><span class="identifier">prop</span><span class="plain">) && (</span><span class="identifier">prop</span><span class="plain">-></span><span class="element">element</span><span class="plain"> == </span><span class="constant">QUANTIFIER_ATOM</span><span class="plain">))</span>
|
|
<span class="reserved">return</span><span class="plain"> </span><span class="identifier">RETRIEVE_POINTER_quantifier</span><span class="plain">(</span><span class="identifier">prop</span><span class="plain">-></span><span class="element">predicate</span><span class="plain">);</span>
|
|
<span class="reserved">return</span><span class="plain"> </span><span class="identifier">NULL</span><span class="plain">;</span>
|
|
<span class="plain">}</span>
|
|
|
|
<span class="reserved">int</span><span class="plain"> </span><span class="functiontext">Calculus::Atoms::get_quantification_parameter<button class="popup" onclick="togglePopup('usagePopup624')">...<span class="popuptext" id="usagePopup624">Usage of <b>Calculus::Atoms::get_quantification_parameter</b>:<br>Compile Deferred Propositions - <a href="12-cdp.html#SP2_1_6_1_2_3">§2.1.6.1.2.3</a><br>Descriptions - <a href="14-ds.html#SP9">§9</a></span></button></span><span class="plain">(</span><span class="reserved">pcalc_prop</span><span class="plain"> *</span><span class="identifier">prop</span><span class="plain">) {</span>
|
|
<span class="reserved">if</span><span class="plain"> ((</span><span class="identifier">prop</span><span class="plain">) && (</span><span class="identifier">prop</span><span class="plain">-></span><span class="element">element</span><span class="plain"> == </span><span class="constant">QUANTIFIER_ATOM</span><span class="plain">))</span>
|
|
<span class="reserved">return</span><span class="plain"> </span><span class="identifier">prop</span><span class="plain">-></span><span class="element">quantification_parameter</span><span class="plain">;</span>
|
|
<span class="reserved">return</span><span class="plain"> </span><span class="constant">0</span><span class="plain">;</span>
|
|
<span class="plain">}</span>
|
|
|
|
<span class="reserved">int</span><span class="plain"> </span><span class="functiontext">Calculus::Atoms::is_existence_quantifier<button class="popup" onclick="togglePopup('usagePopup625')">...<span class="popuptext" id="usagePopup625">Usage of <b>Calculus::Atoms::is_existence_quantifier</b>:<br>Propositions - <a href="11-pr.html#SP12">§12</a>, <a href="11-pr.html#SP27">§27</a><br>Simplifications - <a href="11-sm.html#SP5">§5</a>, <a href="11-sm.html#SP7">§7</a>, <a href="11-sm.html#SP10_2">§10.2</a>, <a href="11-sm.html#SP14_1">§14.1</a><br>Deciding to Defer - <a href="12-dtd.html#SP11_1">§11.1</a></span></button></span><span class="plain">(</span><span class="reserved">pcalc_prop</span><span class="plain"> *</span><span class="identifier">prop</span><span class="plain">) {</span>
|
|
<span class="reserved">if</span><span class="plain"> ((</span><span class="identifier">prop</span><span class="plain">) && (</span><span class="identifier">prop</span><span class="plain">-></span><span class="element">element</span><span class="plain"> == </span><span class="constant">QUANTIFIER_ATOM</span><span class="plain">) &&</span>
|
|
<span class="plain">(</span><span class="identifier">RETRIEVE_POINTER_quantifier</span><span class="plain">(</span><span class="identifier">prop</span><span class="plain">-></span><span class="element">predicate</span><span class="plain">) == </span><span class="identifier">exists_quantifier</span><span class="plain">))</span>
|
|
<span class="reserved">return</span><span class="plain"> </span><span class="identifier">TRUE</span><span class="plain">;</span>
|
|
<span class="reserved">return</span><span class="plain"> </span><span class="identifier">FALSE</span><span class="plain">;</span>
|
|
<span class="plain">}</span>
|
|
|
|
<span class="reserved">int</span><span class="plain"> </span><span class="functiontext">Calculus::Atoms::is_nonexistence_quantifier<button class="popup" onclick="togglePopup('usagePopup626')">...<span class="popuptext" id="usagePopup626">Usage of <b>Calculus::Atoms::is_nonexistence_quantifier</b>:<br>Simplifications - <a href="11-sm.html#SP10_2">§10.2</a>, <a href="11-sm.html#SP19">§19</a></span></button></span><span class="plain">(</span><span class="reserved">pcalc_prop</span><span class="plain"> *</span><span class="identifier">prop</span><span class="plain">) {</span>
|
|
<span class="reserved">if</span><span class="plain"> ((</span><span class="identifier">prop</span><span class="plain">) && (</span><span class="identifier">prop</span><span class="plain">-></span><span class="element">element</span><span class="plain"> == </span><span class="constant">QUANTIFIER_ATOM</span><span class="plain">) &&</span>
|
|
<span class="plain">(</span><span class="identifier">RETRIEVE_POINTER_quantifier</span><span class="plain">(</span><span class="identifier">prop</span><span class="plain">-></span><span class="element">predicate</span><span class="plain">) == </span><span class="identifier">not_exists_quantifier</span><span class="plain">))</span>
|
|
<span class="reserved">return</span><span class="plain"> </span><span class="identifier">TRUE</span><span class="plain">;</span>
|
|
<span class="reserved">return</span><span class="plain"> </span><span class="identifier">FALSE</span><span class="plain">;</span>
|
|
<span class="plain">}</span>
|
|
|
|
<span class="reserved">int</span><span class="plain"> </span><span class="functiontext">Calculus::Atoms::is_forall_quantifier<button class="popup" onclick="togglePopup('usagePopup627')">...<span class="popuptext" id="usagePopup627">Usage of <b>Calculus::Atoms::is_forall_quantifier</b>:<br>Simplifications - <a href="11-sm.html#SP19">§19</a></span></button></span><span class="plain">(</span><span class="reserved">pcalc_prop</span><span class="plain"> *</span><span class="identifier">prop</span><span class="plain">) {</span>
|
|
<span class="reserved">if</span><span class="plain"> ((</span><span class="identifier">prop</span><span class="plain">) && (</span><span class="identifier">prop</span><span class="plain">-></span><span class="element">element</span><span class="plain"> == </span><span class="constant">QUANTIFIER_ATOM</span><span class="plain">) &&</span>
|
|
<span class="plain">(</span><span class="identifier">RETRIEVE_POINTER_quantifier</span><span class="plain">(</span><span class="identifier">prop</span><span class="plain">-></span><span class="element">predicate</span><span class="plain">) == </span><span class="identifier">for_all_quantifier</span><span class="plain">))</span>
|
|
<span class="reserved">return</span><span class="plain"> </span><span class="identifier">TRUE</span><span class="plain">;</span>
|
|
<span class="reserved">return</span><span class="plain"> </span><span class="identifier">FALSE</span><span class="plain">;</span>
|
|
<span class="plain">}</span>
|
|
|
|
<span class="reserved">int</span><span class="plain"> </span><span class="functiontext">Calculus::Atoms::is_notall_quantifier<button class="popup" onclick="togglePopup('usagePopup628')">...<span class="popuptext" id="usagePopup628">Usage of <b>Calculus::Atoms::is_notall_quantifier</b>:<br>Simplifications - <a href="11-sm.html#SP19">§19</a></span></button></span><span class="plain">(</span><span class="reserved">pcalc_prop</span><span class="plain"> *</span><span class="identifier">prop</span><span class="plain">) {</span>
|
|
<span class="reserved">if</span><span class="plain"> ((</span><span class="identifier">prop</span><span class="plain">) && (</span><span class="identifier">prop</span><span class="plain">-></span><span class="element">element</span><span class="plain"> == </span><span class="constant">QUANTIFIER_ATOM</span><span class="plain">) &&</span>
|
|
<span class="plain">(</span><span class="identifier">RETRIEVE_POINTER_quantifier</span><span class="plain">(</span><span class="identifier">prop</span><span class="plain">-></span><span class="element">predicate</span><span class="plain">) == </span><span class="identifier">not_for_all_quantifier</span><span class="plain">))</span>
|
|
<span class="reserved">return</span><span class="plain"> </span><span class="identifier">TRUE</span><span class="plain">;</span>
|
|
<span class="reserved">return</span><span class="plain"> </span><span class="identifier">FALSE</span><span class="plain">;</span>
|
|
<span class="plain">}</span>
|
|
|
|
<span class="reserved">int</span><span class="plain"> </span><span class="functiontext">Calculus::Atoms::is_for_all_x<button class="popup" onclick="togglePopup('usagePopup629')">...<span class="popuptext" id="usagePopup629">Usage of <b>Calculus::Atoms::is_for_all_x</b>:<br>Propositions - <a href="11-pr.html#SP33">§33</a></span></button></span><span class="plain">(</span><span class="reserved">pcalc_prop</span><span class="plain"> *</span><span class="identifier">prop</span><span class="plain">) {</span>
|
|
<span class="reserved">if</span><span class="plain"> ((</span><span class="functiontext"><a href="11-ap.html#SP9">Calculus::Atoms::is_forall_quantifier</a></span><span class="plain">(</span><span class="identifier">prop</span><span class="plain">)) && (</span><span class="identifier">prop</span><span class="plain">-></span><span class="element">terms</span><span class="plain">[0].</span><span class="element">variable</span><span class="plain"> == </span><span class="constant">0</span><span class="plain">)) </span><span class="reserved">return</span><span class="plain"> </span><span class="identifier">TRUE</span><span class="plain">;</span>
|
|
<span class="reserved">return</span><span class="plain"> </span><span class="identifier">FALSE</span><span class="plain">;</span>
|
|
<span class="plain">}</span>
|
|
</pre>
|
|
|
|
<p class="inwebparagraph"></p>
|
|
|
|
<p class="inwebparagraph"><a id="SP10"></a><b>§10. </b>See "Determiners and Quantifiers" for what a now-assertable quantifier is:
|
|
</p>
|
|
|
|
<pre class="display">
|
|
<span class="reserved">int</span><span class="plain"> </span><span class="functiontext">Calculus::Atoms::is_now_assertable_quantifier<button class="popup" onclick="togglePopup('usagePopup630')">...<span class="popuptext" id="usagePopup630">Usage of <b>Calculus::Atoms::is_now_assertable_quantifier</b>:<br>Deciding to Defer - <a href="12-dtd.html#SP11_1">§11.1</a></span></button></span><span class="plain">(</span><span class="reserved">pcalc_prop</span><span class="plain"> *</span><span class="identifier">prop</span><span class="plain">) {</span>
|
|
<span class="reserved">if</span><span class="plain"> (</span><span class="identifier">prop</span><span class="plain">-></span><span class="identifier">element</span><span class="plain"> != </span><span class="constant">QUANTIFIER_ATOM</span><span class="plain">) </span><span class="reserved">return</span><span class="plain"> </span><span class="identifier">FALSE</span><span class="plain">;</span>
|
|
<span class="reserved">return</span><span class="plain"> </span><span class="identifier">Quantifiers::is_now_assertable</span><span class="plain">(</span><span class="identifier">RETRIEVE_POINTER_quantifier</span><span class="plain">(</span><span class="identifier">prop</span><span class="plain">-></span><span class="element">predicate</span><span class="plain">));</span>
|
|
<span class="plain">}</span>
|
|
</pre>
|
|
|
|
<p class="inwebparagraph"></p>
|
|
|
|
<p class="inwebparagraph"><a id="SP11"></a><b>§11. The PREDICATES group. </b>Next, unary predicates, beginning with the <code class="display"><span class="extract">EVERYWHERE</span></code> special case.
|
|
</p>
|
|
|
|
<pre class="display">
|
|
<span class="reserved">pcalc_prop</span><span class="plain"> *</span><span class="functiontext">Calculus::Atoms::EVERYWHERE_new<button class="popup" onclick="togglePopup('usagePopup631')">...<span class="popuptext" id="usagePopup631">Usage of <b>Calculus::Atoms::EVERYWHERE_new</b>:<br>Tree Conversions - <a href="11-tc.html#SP5">§5</a><br>Simplifications - <a href="11-sm.html#SP19">§19</a></span></button></span><span class="plain">(</span><span class="reserved">pcalc_term</span><span class="plain"> </span><span class="identifier">pt</span><span class="plain">) {</span>
|
|
<span class="reserved">pcalc_prop</span><span class="plain"> *</span><span class="identifier">prop</span><span class="plain"> = </span><span class="functiontext"><a href="11-ap.html#SP7">Calculus::Atoms::new</a></span><span class="plain">(</span><span class="constant">EVERYWHERE_ATOM</span><span class="plain">);</span>
|
|
<span class="identifier">prop</span><span class="plain">-></span><span class="element">arity</span><span class="plain"> = </span><span class="constant">1</span><span class="plain">;</span>
|
|
<span class="identifier">prop</span><span class="plain">-></span><span class="element">terms</span><span class="plain">[0] = </span><span class="identifier">pt</span><span class="plain">;</span>
|
|
<span class="reserved">return</span><span class="plain"> </span><span class="identifier">prop</span><span class="plain">;</span>
|
|
<span class="plain">}</span>
|
|
</pre>
|
|
|
|
<p class="inwebparagraph"></p>
|
|
|
|
<p class="inwebparagraph"><a id="SP12"></a><b>§12. </b>And <code class="display"><span class="extract">NOWHERE</span></code>:
|
|
</p>
|
|
|
|
<pre class="display">
|
|
<span class="reserved">pcalc_prop</span><span class="plain"> *</span><span class="functiontext">Calculus::Atoms::NOWHERE_new<button class="popup" onclick="togglePopup('usagePopup632')">...<span class="popuptext" id="usagePopup632">Usage of <b>Calculus::Atoms::NOWHERE_new</b>:<br>Tree Conversions - <a href="11-tc.html#SP5">§5</a><br>Simplifications - <a href="11-sm.html#SP19">§19</a></span></button></span><span class="plain">(</span><span class="reserved">pcalc_term</span><span class="plain"> </span><span class="identifier">pt</span><span class="plain">) {</span>
|
|
<span class="reserved">pcalc_prop</span><span class="plain"> *</span><span class="identifier">prop</span><span class="plain"> = </span><span class="functiontext"><a href="11-ap.html#SP7">Calculus::Atoms::new</a></span><span class="plain">(</span><span class="constant">NOWHERE_ATOM</span><span class="plain">);</span>
|
|
<span class="identifier">prop</span><span class="plain">-></span><span class="element">arity</span><span class="plain"> = </span><span class="constant">1</span><span class="plain">;</span>
|
|
<span class="identifier">prop</span><span class="plain">-></span><span class="element">terms</span><span class="plain">[0] = </span><span class="identifier">pt</span><span class="plain">;</span>
|
|
<span class="reserved">return</span><span class="plain"> </span><span class="identifier">prop</span><span class="plain">;</span>
|
|
<span class="plain">}</span>
|
|
</pre>
|
|
|
|
<p class="inwebparagraph"></p>
|
|
|
|
<p class="inwebparagraph"><a id="SP13"></a><b>§13. </b>And <code class="display"><span class="extract">HERE</span></code>:
|
|
</p>
|
|
|
|
<pre class="display">
|
|
<span class="reserved">pcalc_prop</span><span class="plain"> *</span><span class="functiontext">Calculus::Atoms::HERE_new<button class="popup" onclick="togglePopup('usagePopup633')">...<span class="popuptext" id="usagePopup633">Usage of <b>Calculus::Atoms::HERE_new</b>:<br>Tree Conversions - <a href="11-tc.html#SP5">§5</a></span></button></span><span class="plain">(</span><span class="reserved">pcalc_term</span><span class="plain"> </span><span class="identifier">pt</span><span class="plain">) {</span>
|
|
<span class="reserved">pcalc_prop</span><span class="plain"> *</span><span class="identifier">prop</span><span class="plain"> = </span><span class="functiontext"><a href="11-ap.html#SP7">Calculus::Atoms::new</a></span><span class="plain">(</span><span class="constant">HERE_ATOM</span><span class="plain">);</span>
|
|
<span class="identifier">prop</span><span class="plain">-></span><span class="element">arity</span><span class="plain"> = </span><span class="constant">1</span><span class="plain">;</span>
|
|
<span class="identifier">prop</span><span class="plain">-></span><span class="element">terms</span><span class="plain">[0] = </span><span class="identifier">pt</span><span class="plain">;</span>
|
|
<span class="reserved">return</span><span class="plain"> </span><span class="identifier">prop</span><span class="plain">;</span>
|
|
<span class="plain">}</span>
|
|
</pre>
|
|
|
|
<p class="inwebparagraph"></p>
|
|
|
|
<p class="inwebparagraph"><a id="SP14"></a><b>§14. </b>And <code class="display"><span class="extract">ISAKIND</span></code>:
|
|
</p>
|
|
|
|
<pre class="display">
|
|
<span class="reserved">pcalc_prop</span><span class="plain"> *</span><span class="functiontext">Calculus::Atoms::ISAKIND_new<button class="popup" onclick="togglePopup('usagePopup634')">...<span class="popuptext" id="usagePopup634">Usage of <b>Calculus::Atoms::ISAKIND_new</b>:<br>Tree Conversions - <a href="11-tc.html#SP1">§1</a></span></button></span><span class="plain">(</span><span class="reserved">pcalc_term</span><span class="plain"> </span><span class="identifier">pt</span><span class="plain">, </span><span class="identifier">kind</span><span class="plain"> *</span><span class="identifier">K</span><span class="plain">) {</span>
|
|
<span class="reserved">pcalc_prop</span><span class="plain"> *</span><span class="identifier">prop</span><span class="plain"> = </span><span class="functiontext"><a href="11-ap.html#SP7">Calculus::Atoms::new</a></span><span class="plain">(</span><span class="constant">ISAKIND_ATOM</span><span class="plain">);</span>
|
|
<span class="identifier">prop</span><span class="plain">-></span><span class="element">arity</span><span class="plain"> = </span><span class="constant">1</span><span class="plain">;</span>
|
|
<span class="identifier">prop</span><span class="plain">-></span><span class="element">terms</span><span class="plain">[0] = </span><span class="identifier">pt</span><span class="plain">;</span>
|
|
<span class="identifier">prop</span><span class="plain">-></span><span class="element">assert_kind</span><span class="plain"> = </span><span class="identifier">K</span><span class="plain">;</span>
|
|
<span class="reserved">return</span><span class="plain"> </span><span class="identifier">prop</span><span class="plain">;</span>
|
|
<span class="plain">}</span>
|
|
</pre>
|
|
|
|
<p class="inwebparagraph"></p>
|
|
|
|
<p class="inwebparagraph"><a id="SP15"></a><b>§15. </b>And <code class="display"><span class="extract">ISAVAR</span></code>:
|
|
</p>
|
|
|
|
<pre class="display">
|
|
<span class="reserved">pcalc_prop</span><span class="plain"> *</span><span class="functiontext">Calculus::Atoms::ISAVAR_new<button class="popup" onclick="togglePopup('usagePopup635')">...<span class="popuptext" id="usagePopup635">Usage of <b>Calculus::Atoms::ISAVAR_new</b>:<br>Tree Conversions - <a href="11-tc.html#SP1">§1</a></span></button></span><span class="plain">(</span><span class="reserved">pcalc_term</span><span class="plain"> </span><span class="identifier">pt</span><span class="plain">) {</span>
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|
<span class="reserved">pcalc_prop</span><span class="plain"> *</span><span class="identifier">prop</span><span class="plain"> = </span><span class="functiontext"><a href="11-ap.html#SP7">Calculus::Atoms::new</a></span><span class="plain">(</span><span class="constant">ISAVAR_ATOM</span><span class="plain">);</span>
|
|
<span class="identifier">prop</span><span class="plain">-></span><span class="element">arity</span><span class="plain"> = </span><span class="constant">1</span><span class="plain">;</span>
|
|
<span class="identifier">prop</span><span class="plain">-></span><span class="element">terms</span><span class="plain">[0] = </span><span class="identifier">pt</span><span class="plain">;</span>
|
|
<span class="reserved">return</span><span class="plain"> </span><span class="identifier">prop</span><span class="plain">;</span>
|
|
<span class="plain">}</span>
|
|
</pre>
|
|
|
|
<p class="inwebparagraph"></p>
|
|
|
|
<p class="inwebparagraph"><a id="SP16"></a><b>§16. </b>And <code class="display"><span class="extract">ISACONST</span></code>:
|
|
</p>
|
|
|
|
<pre class="display">
|
|
<span class="reserved">pcalc_prop</span><span class="plain"> *</span><span class="functiontext">Calculus::Atoms::ISACONST_new<button class="popup" onclick="togglePopup('usagePopup636')">...<span class="popuptext" id="usagePopup636">Usage of <b>Calculus::Atoms::ISACONST_new</b>:<br>Tree Conversions - <a href="11-tc.html#SP1">§1</a></span></button></span><span class="plain">(</span><span class="reserved">pcalc_term</span><span class="plain"> </span><span class="identifier">pt</span><span class="plain">) {</span>
|
|
<span class="reserved">pcalc_prop</span><span class="plain"> *</span><span class="identifier">prop</span><span class="plain"> = </span><span class="functiontext"><a href="11-ap.html#SP7">Calculus::Atoms::new</a></span><span class="plain">(</span><span class="constant">ISACONST_ATOM</span><span class="plain">);</span>
|
|
<span class="identifier">prop</span><span class="plain">-></span><span class="element">arity</span><span class="plain"> = </span><span class="constant">1</span><span class="plain">;</span>
|
|
<span class="identifier">prop</span><span class="plain">-></span><span class="element">terms</span><span class="plain">[0] = </span><span class="identifier">pt</span><span class="plain">;</span>
|
|
<span class="reserved">return</span><span class="plain"> </span><span class="identifier">prop</span><span class="plain">;</span>
|
|
<span class="plain">}</span>
|
|
</pre>
|
|
|
|
<p class="inwebparagraph"></p>
|
|
|
|
<p class="inwebparagraph"><a id="SP17"></a><b>§17. </b><code class="display"><span class="extract">CALLED</span></code> atoms are interesting because they exist only for their side-effects:
|
|
they have no effect at all on the logical status of a proposition (well, except
|
|
that they should not be applied to free variables referred to nowhere else).
|
|
They can therefore be added or removed freely. In the phrase
|
|
</p>
|
|
|
|
<blockquote>
|
|
<p>if a woman is in a lighted room (called the den), ...</p>
|
|
|
|
</blockquote>
|
|
|
|
<p class="inwebparagraph">we need to note that the value of the bound variable corresponding to the
|
|
lighted room will need to be kept and to have a name ("the den"): this
|
|
will probably mean the inclusion of a <code class="display"><span class="extract">CALLED=den(y)</span></code> atom.
|
|
</p>
|
|
|
|
<p class="inwebparagraph">The calling data for a <code class="display"><span class="extract">CALLED</span></code> atom is the textual name by which the variable
|
|
will be called.
|
|
</p>
|
|
|
|
<pre class="display">
|
|
<span class="reserved">pcalc_prop</span><span class="plain"> *</span><span class="functiontext">Calculus::Atoms::CALLED_new<button class="popup" onclick="togglePopup('usagePopup637')">...<span class="popuptext" id="usagePopup637">Usage of <b>Calculus::Atoms::CALLED_new</b>:<br>Tree Conversions - <a href="11-tc.html#SP1">§1</a><br>Descriptions - <a href="14-ds.html#SP10">§10</a></span></button></span><span class="plain">(</span><span class="identifier">wording</span><span class="plain"> </span><span class="identifier">W</span><span class="plain">, </span><span class="reserved">pcalc_term</span><span class="plain"> </span><span class="identifier">pt</span><span class="plain">, </span><span class="identifier">kind</span><span class="plain"> *</span><span class="identifier">K</span><span class="plain">) {</span>
|
|
<span class="reserved">pcalc_prop</span><span class="plain"> *</span><span class="identifier">prop</span><span class="plain"> = </span><span class="functiontext"><a href="11-ap.html#SP7">Calculus::Atoms::new</a></span><span class="plain">(</span><span class="constant">CALLED_ATOM</span><span class="plain">);</span>
|
|
<span class="identifier">prop</span><span class="plain">-></span><span class="element">arity</span><span class="plain"> = </span><span class="constant">1</span><span class="plain">;</span>
|
|
<span class="identifier">prop</span><span class="plain">-></span><span class="element">terms</span><span class="plain">[0] = </span><span class="identifier">pt</span><span class="plain">;</span>
|
|
<span class="identifier">prop</span><span class="plain">-></span><span class="element">calling_name</span><span class="plain"> = </span><span class="identifier">W</span><span class="plain">;</span>
|
|
<span class="identifier">prop</span><span class="plain">-></span><span class="element">assert_kind</span><span class="plain"> = </span><span class="identifier">K</span><span class="plain">;</span>
|
|
<span class="reserved">return</span><span class="plain"> </span><span class="identifier">prop</span><span class="plain">;</span>
|
|
<span class="plain">}</span>
|
|
|
|
<span class="identifier">wording</span><span class="plain"> </span><span class="functiontext">Calculus::Atoms::CALLED_get_name<button class="popup" onclick="togglePopup('usagePopup638')">...<span class="popuptext" id="usagePopup638">Usage of <b>Calculus::Atoms::CALLED_get_name</b>:<br><a href="11-ap.html#SP25">§25</a>, Assert Propositions - <a href="12-ap.html#SP9_5_1">§9.5.1</a><br>Compile Atoms - <a href="12-ca.html#SP6_1">§6.1</a><br>Deciding to Defer - <a href="12-dtd.html#SP9_2">§9.2</a><br>Descriptions - <a href="14-ds.html#SP10">§10</a></span></button></span><span class="plain">(</span><span class="reserved">pcalc_prop</span><span class="plain"> *</span><span class="identifier">prop</span><span class="plain">) {</span>
|
|
<span class="reserved">return</span><span class="plain"> </span><span class="identifier">prop</span><span class="plain">-></span><span class="element">calling_name</span><span class="plain">;</span>
|
|
<span class="plain">}</span>
|
|
</pre>
|
|
|
|
<p class="inwebparagraph"></p>
|
|
|
|
<p class="inwebparagraph"><a id="SP18"></a><b>§18. </b>Now for a <code class="display"><span class="extract">KIND</span></code> atom. At first sight, it looks odd that a unary
|
|
predicate for a kind is represented differently from other predicates.
|
|
Isn't it a unary predicate just like any other? Well: it is, but then
|
|
again, we want to compile propositions to reasonably efficient I6 code
|
|
which determines whether or not they are true. We particularly want to
|
|
look out for patterns like
|
|
$$ \forall x : ... \land {\it container}(x) \land ... $$
|
|
since they allow us to consider \(x\) ranging over a smaller, and therefore
|
|
more efficiently searchable, domain: most objects aren't containers. So
|
|
<code class="display"><span class="extract">KIND_ATOM</span></code> atoms are useful in ways which other unary predicate atoms
|
|
are not.
|
|
</p>
|
|
|
|
<p class="inwebparagraph">Once again, this atom has arity 1, but the term no longer has to be a
|
|
variable; when Inform reads a sentence like
|
|
</p>
|
|
|
|
<blockquote>
|
|
<p>Viper Pit is a room.</p>
|
|
|
|
</blockquote>
|
|
|
|
<p class="inwebparagraph">the resulting proposition will include a <code class="display"><span class="extract">KIND</span></code> atom whose term is the
|
|
constant value for the Viper Pit.
|
|
</p>
|
|
|
|
<p class="inwebparagraph">Any kind of value can be assigned, but the commonest case involves a kind
|
|
of object, so a special routine exists just to create <code class="display"><span class="extract">KIND</span></code> atoms in
|
|
that case.
|
|
</p>
|
|
|
|
<pre class="display">
|
|
<span class="reserved">pcalc_prop</span><span class="plain"> *</span><span class="functiontext">Calculus::Atoms::KIND_new<button class="popup" onclick="togglePopup('usagePopup639')">...<span class="popuptext" id="usagePopup639">Usage of <b>Calculus::Atoms::KIND_new</b>:<br>Make Assertions - <a href="9-ma.html#SP3_3_39_5">§3.3.39.5</a><br>Implications - <a href="9-imp.html#SP7_1_3">§7.1.3</a><br>Tree Conversions - <a href="11-tc.html#SP1">§1</a>, <a href="11-tc.html#SP2">§2</a>, <a href="11-tc.html#SP7">§7</a><br>Sentence Conversions - <a href="11-sc.html#SP3_3">§3.3</a><br>Simplifications - <a href="11-sm.html#SP3_2">§3.2</a>, <a href="11-sm.html#SP4">§4</a>, <a href="11-sm.html#SP8">§8</a>, <a href="11-sm.html#SP10_3_2">§10.3.2</a><br>Deciding to Defer - <a href="12-dtd.html#SP10">§10</a>, <a href="12-dtd.html#SP13">§13</a><br>Descriptions - <a href="14-ds.html#SP3">§3</a></span></button></span><span class="plain">(</span><span class="identifier">kind</span><span class="plain"> *</span><span class="identifier">K</span><span class="plain">, </span><span class="reserved">pcalc_term</span><span class="plain"> </span><span class="identifier">pt</span><span class="plain">) {</span>
|
|
<span class="reserved">pcalc_prop</span><span class="plain"> *</span><span class="identifier">prop</span><span class="plain"> = </span><span class="functiontext"><a href="11-ap.html#SP7">Calculus::Atoms::new</a></span><span class="plain">(</span><span class="constant">KIND_ATOM</span><span class="plain">);</span>
|
|
<span class="identifier">prop</span><span class="plain">-></span><span class="element">arity</span><span class="plain"> = </span><span class="constant">1</span><span class="plain">;</span>
|
|
<span class="identifier">prop</span><span class="plain">-></span><span class="element">assert_kind</span><span class="plain"> = </span><span class="identifier">K</span><span class="plain">;</span>
|
|
<span class="identifier">prop</span><span class="plain">-></span><span class="element">terms</span><span class="plain">[0] = </span><span class="identifier">pt</span><span class="plain">;</span>
|
|
<span class="reserved">return</span><span class="plain"> </span><span class="identifier">prop</span><span class="plain">;</span>
|
|
<span class="plain">}</span>
|
|
|
|
<span class="reserved">pcalc_prop</span><span class="plain"> *</span><span class="functiontext">Calculus::Atoms::KIND_new_composited<button class="popup" onclick="togglePopup('usagePopup640')">...<span class="popuptext" id="usagePopup640">Usage of <b>Calculus::Atoms::KIND_new_composited</b>:<br>Descriptions - <a href="14-ds.html#SP3">§3</a></span></button></span><span class="plain">(</span><span class="identifier">kind</span><span class="plain"> *</span><span class="identifier">K</span><span class="plain">, </span><span class="reserved">pcalc_term</span><span class="plain"> </span><span class="identifier">pt</span><span class="plain">) {</span>
|
|
<span class="reserved">pcalc_prop</span><span class="plain"> *</span><span class="identifier">prop</span><span class="plain"> = </span><span class="functiontext"><a href="11-ap.html#SP7">Calculus::Atoms::new</a></span><span class="plain">(</span><span class="constant">KIND_ATOM</span><span class="plain">);</span>
|
|
<span class="identifier">prop</span><span class="plain">-></span><span class="element">arity</span><span class="plain"> = </span><span class="constant">1</span><span class="plain">;</span>
|
|
<span class="identifier">prop</span><span class="plain">-></span><span class="element">assert_kind</span><span class="plain"> = </span><span class="identifier">K</span><span class="plain">;</span>
|
|
<span class="identifier">prop</span><span class="plain">-></span><span class="element">terms</span><span class="plain">[0] = </span><span class="identifier">pt</span><span class="plain">;</span>
|
|
<span class="identifier">prop</span><span class="plain">-></span><span class="element">composited</span><span class="plain"> = </span><span class="identifier">TRUE</span><span class="plain">;</span>
|
|
<span class="reserved">return</span><span class="plain"> </span><span class="identifier">prop</span><span class="plain">;</span>
|
|
<span class="plain">}</span>
|
|
|
|
<span class="identifier">kind</span><span class="plain"> *</span><span class="functiontext">Calculus::Atoms::get_asserted_kind<button class="popup" onclick="togglePopup('usagePopup641')">...<span class="popuptext" id="usagePopup641">Usage of <b>Calculus::Atoms::get_asserted_kind</b>:<br>none</span></button></span><span class="plain">(</span><span class="reserved">pcalc_prop</span><span class="plain"> *</span><span class="identifier">prop</span><span class="plain">) {</span>
|
|
<span class="reserved">if</span><span class="plain"> (</span><span class="identifier">prop</span><span class="plain">) </span><span class="reserved">return</span><span class="plain"> </span><span class="identifier">prop</span><span class="plain">-></span><span class="element">assert_kind</span><span class="plain">;</span>
|
|
<span class="reserved">return</span><span class="plain"> </span><span class="identifier">NULL</span><span class="plain">;</span>
|
|
<span class="plain">}</span>
|
|
|
|
<span class="reserved">int</span><span class="plain"> </span><span class="functiontext">Calculus::Atoms::is_composited<button class="popup" onclick="togglePopup('usagePopup642')">...<span class="popuptext" id="usagePopup642">Usage of <b>Calculus::Atoms::is_composited</b>:<br>Simplifications - <a href="11-sm.html#SP19">§19</a></span></button></span><span class="plain">(</span><span class="reserved">pcalc_prop</span><span class="plain"> *</span><span class="identifier">prop</span><span class="plain">) {</span>
|
|
<span class="reserved">if</span><span class="plain"> ((</span><span class="identifier">prop</span><span class="plain">) && (</span><span class="identifier">prop</span><span class="plain">-></span><span class="element">composited</span><span class="plain">)) </span><span class="reserved">return</span><span class="plain"> </span><span class="identifier">TRUE</span><span class="plain">;</span>
|
|
<span class="reserved">return</span><span class="plain"> </span><span class="identifier">FALSE</span><span class="plain">;</span>
|
|
<span class="plain">}</span>
|
|
|
|
<span class="reserved">void</span><span class="plain"> </span><span class="functiontext">Calculus::Atoms::set_composited<button class="popup" onclick="togglePopup('usagePopup643')">...<span class="popuptext" id="usagePopup643">Usage of <b>Calculus::Atoms::set_composited</b>:<br>Sentence Conversions - <a href="11-sc.html#SP1_13_1">§1.13.1</a></span></button></span><span class="plain">(</span><span class="reserved">pcalc_prop</span><span class="plain"> *</span><span class="identifier">prop</span><span class="plain">, </span><span class="reserved">int</span><span class="plain"> </span><span class="identifier">state</span><span class="plain">) {</span>
|
|
<span class="reserved">if</span><span class="plain"> (</span><span class="identifier">prop</span><span class="plain">) </span><span class="identifier">prop</span><span class="plain">-></span><span class="element">composited</span><span class="plain"> = </span><span class="identifier">state</span><span class="plain">;</span>
|
|
<span class="plain">}</span>
|
|
</pre>
|
|
|
|
<p class="inwebparagraph"></p>
|
|
|
|
<p class="inwebparagraph"><a id="SP19"></a><b>§19. </b>Likewise:
|
|
</p>
|
|
|
|
<pre class="display">
|
|
<span class="reserved">int</span><span class="plain"> </span><span class="functiontext">Calculus::Atoms::is_unarticled<button class="popup" onclick="togglePopup('usagePopup644')">...<span class="popuptext" id="usagePopup644">Usage of <b>Calculus::Atoms::is_unarticled</b>:<br>Simplifications - <a href="11-sm.html#SP10_3_2">§10.3.2</a></span></button></span><span class="plain">(</span><span class="reserved">pcalc_prop</span><span class="plain"> *</span><span class="identifier">prop</span><span class="plain">) {</span>
|
|
<span class="reserved">if</span><span class="plain"> ((</span><span class="identifier">prop</span><span class="plain">) && (</span><span class="identifier">prop</span><span class="plain">-></span><span class="element">unarticled</span><span class="plain">)) </span><span class="reserved">return</span><span class="plain"> </span><span class="identifier">TRUE</span><span class="plain">;</span>
|
|
<span class="reserved">return</span><span class="plain"> </span><span class="identifier">FALSE</span><span class="plain">;</span>
|
|
<span class="plain">}</span>
|
|
|
|
<span class="reserved">void</span><span class="plain"> </span><span class="functiontext">Calculus::Atoms::set_unarticled<button class="popup" onclick="togglePopup('usagePopup645')">...<span class="popuptext" id="usagePopup645">Usage of <b>Calculus::Atoms::set_unarticled</b>:<br>Sentence Conversions - <a href="11-sc.html#SP3_4">§3.4</a><br>Simplifications - <a href="11-sm.html#SP10_3_2">§10.3.2</a></span></button></span><span class="plain">(</span><span class="reserved">pcalc_prop</span><span class="plain"> *</span><span class="identifier">prop</span><span class="plain">, </span><span class="reserved">int</span><span class="plain"> </span><span class="identifier">state</span><span class="plain">) {</span>
|
|
<span class="reserved">if</span><span class="plain"> (</span><span class="identifier">prop</span><span class="plain">) </span><span class="identifier">prop</span><span class="plain">-></span><span class="element">unarticled</span><span class="plain"> = </span><span class="identifier">state</span><span class="plain">;</span>
|
|
<span class="plain">}</span>
|
|
</pre>
|
|
|
|
<p class="inwebparagraph"></p>
|
|
|
|
<p class="inwebparagraph"><a id="SP20"></a><b>§20. </b>That just leaves the general sort of unary predicate. In principle we ought
|
|
to be able to create \(U(t)\) for any term \(t\), but in practice we only ever
|
|
need \(t=x\), that is, variable 0.
|
|
</p>
|
|
|
|
<pre class="display">
|
|
<span class="reserved">pcalc_prop</span><span class="plain"> *</span><span class="functiontext">Calculus::Atoms::unary_PREDICATE_from_aph<button class="popup" onclick="togglePopup('usagePopup646')">...<span class="popuptext" id="usagePopup646">Usage of <b>Calculus::Atoms::unary_PREDICATE_from_aph</b>:<br>Implications - <a href="9-imp.html#SP7_1_3">§7.1.3</a><br>Propositions - <a href="11-pr.html#SP35_1">§35.1</a>, <a href="11-pr.html#SP35_2">§35.2</a><br>Tree Conversions - <a href="11-tc.html#SP7_2">§7.2</a><br>Sentence Conversions - <a href="11-sc.html#SP3_3">§3.3</a><br>Descriptions - <a href="14-ds.html#SP8">§8</a><br>Either-Or Properties - <a href="15-ep.html#SP9">§9</a></span></button></span><span class="plain">(</span><span class="identifier">adjectival_phrase</span><span class="plain"> *</span><span class="identifier">aph</span><span class="plain">, </span><span class="reserved">int</span><span class="plain"> </span><span class="identifier">negated</span><span class="plain">) {</span>
|
|
<span class="reserved">pcalc_prop</span><span class="plain"> *</span><span class="identifier">prop</span><span class="plain"> = </span><span class="functiontext"><a href="11-ap.html#SP7">Calculus::Atoms::new</a></span><span class="plain">(</span><span class="constant">PREDICATE_ATOM</span><span class="plain">);</span>
|
|
<span class="identifier">prop</span><span class="plain">-></span><span class="element">arity</span><span class="plain"> = </span><span class="constant">1</span><span class="plain">;</span>
|
|
<span class="identifier">prop</span><span class="plain">-></span><span class="element">terms</span><span class="plain">[0] = </span><span class="functiontext"><a href="11-tr.html#SP4">Calculus::Terms::new_variable</a></span><span class="plain">(0);</span>
|
|
<span class="identifier">prop</span><span class="plain">-></span><span class="element">predicate</span><span class="plain"> = </span><span class="identifier">STORE_POINTER_adjective_usage</span><span class="plain">(</span>
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|
<span class="identifier">AdjectiveUsages::new</span><span class="plain">(</span><span class="identifier">aph</span><span class="plain">, (</span><span class="identifier">negated</span><span class="plain">)?</span><span class="identifier">FALSE:TRUE</span><span class="plain">));</span>
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<span class="reserved">return</span><span class="plain"> </span><span class="identifier">prop</span><span class="plain">;</span>
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<span class="plain">}</span>
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<span class="identifier">adjective_usage</span><span class="plain"> *</span><span class="functiontext">Calculus::Atoms::au_from_unary_PREDICATE<button class="popup" onclick="togglePopup('usagePopup647')">...<span class="popuptext" id="usagePopup647">Usage of <b>Calculus::Atoms::au_from_unary_PREDICATE</b>:<br>Propositions - <a href="11-pr.html#SP28">§28</a></span></button></span><span class="plain">(</span><span class="reserved">pcalc_prop</span><span class="plain"> *</span><span class="identifier">prop</span><span class="plain">) {</span>
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|
<span class="reserved">return</span><span class="plain"> </span><span class="identifier">RETRIEVE_POINTER_adjective_usage</span><span class="plain">(</span><span class="identifier">prop</span><span class="plain">-></span><span class="element">predicate</span><span class="plain">);</span>
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|
<span class="plain">}</span>
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</pre>
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<p class="inwebparagraph"></p>
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<p class="inwebparagraph"><a id="SP21"></a><b>§21. </b>And binary predicates are pretty well the same:
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</p>
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<pre class="display">
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<span class="reserved">pcalc_prop</span><span class="plain"> *</span><span class="functiontext">Calculus::Atoms::binary_PREDICATE_new<button class="popup" onclick="togglePopup('usagePopup648')">...<span class="popuptext" id="usagePopup648">Usage of <b>Calculus::Atoms::binary_PREDICATE_new</b>:<br><a href="11-ap.html#SP22">§22</a>, Tree Conversions - <a href="11-tc.html#SP3">§3</a>, <a href="11-tc.html#SP4">§4</a><br>Sentence Conversions - <a href="11-sc.html#SP1_13">§1.13</a>, <a href="11-sc.html#SP3_7">§3.7</a><br>Simplifications - <a href="11-sm.html#SP4">§4</a>, <a href="11-sm.html#SP15">§15</a><br>Measurement Adjectives - <a href="15-ma.html#SP13">§13</a></span></button></span><span class="plain">(</span><span class="reserved">binary_predicate</span><span class="plain"> *</span><span class="identifier">bp</span><span class="plain">,</span>
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<span class="reserved">pcalc_term</span><span class="plain"> </span><span class="identifier">pt1</span><span class="plain">, </span><span class="reserved">pcalc_term</span><span class="plain"> </span><span class="identifier">pt2</span><span class="plain">) {</span>
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<span class="reserved">pcalc_prop</span><span class="plain"> *</span><span class="identifier">prop</span><span class="plain"> = </span><span class="functiontext"><a href="11-ap.html#SP7">Calculus::Atoms::new</a></span><span class="plain">(</span><span class="constant">PREDICATE_ATOM</span><span class="plain">);</span>
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<span class="identifier">prop</span><span class="plain">-></span><span class="element">arity</span><span class="plain"> = </span><span class="constant">2</span><span class="plain">;</span>
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<span class="identifier">prop</span><span class="plain">-></span><span class="element">predicate</span><span class="plain"> = </span><span class="identifier">STORE_POINTER_binary_predicate</span><span class="plain">(</span><span class="identifier">bp</span><span class="plain">);</span>
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<span class="identifier">prop</span><span class="plain">-></span><span class="element">terms</span><span class="plain">[0] = </span><span class="identifier">pt1</span><span class="plain">; </span><span class="identifier">prop</span><span class="plain">-></span><span class="element">terms</span><span class="plain">[1] = </span><span class="identifier">pt2</span><span class="plain">;</span>
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<span class="reserved">return</span><span class="plain"> </span><span class="identifier">prop</span><span class="plain">;</span>
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<span class="plain">}</span>
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<span class="reserved">binary_predicate</span><span class="plain"> *</span><span class="functiontext">Calculus::Atoms::is_binary_predicate<button class="popup" onclick="togglePopup('usagePopup649')">...<span class="popuptext" id="usagePopup649">Usage of <b>Calculus::Atoms::is_binary_predicate</b>:<br>Simplifications - <a href="11-sm.html#SP3">§3</a>, <a href="11-sm.html#SP8">§8</a>, <a href="11-sm.html#SP11">§11</a>, <a href="11-sm.html#SP12">§12</a>, <a href="11-sm.html#SP13">§13</a></span></button></span><span class="plain">(</span><span class="reserved">pcalc_prop</span><span class="plain"> *</span><span class="identifier">prop</span><span class="plain">) {</span>
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<span class="reserved">if</span><span class="plain"> (</span><span class="identifier">prop</span><span class="plain"> == </span><span class="identifier">NULL</span><span class="plain">) </span><span class="reserved">return</span><span class="plain"> </span><span class="identifier">NULL</span><span class="plain">;</span>
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<span class="reserved">if</span><span class="plain"> (</span><span class="identifier">prop</span><span class="plain">-></span><span class="identifier">element</span><span class="plain"> != </span><span class="constant">PREDICATE_ATOM</span><span class="plain">) </span><span class="reserved">return</span><span class="plain"> </span><span class="identifier">NULL</span><span class="plain">;</span>
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<span class="reserved">if</span><span class="plain"> (</span><span class="identifier">prop</span><span class="plain">-></span><span class="identifier">arity</span><span class="plain"> != </span><span class="constant">2</span><span class="plain">) </span><span class="reserved">return</span><span class="plain"> </span><span class="identifier">NULL</span><span class="plain">;</span>
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<span class="reserved">return</span><span class="plain"> </span><span class="identifier">RETRIEVE_POINTER_binary_predicate</span><span class="plain">(</span><span class="identifier">prop</span><span class="plain">-></span><span class="element">predicate</span><span class="plain">);</span>
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<span class="plain">}</span>
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<span class="reserved">int</span><span class="plain"> </span><span class="functiontext">Calculus::Atoms::is_equality_predicate<button class="popup" onclick="togglePopup('usagePopup650')">...<span class="popuptext" id="usagePopup650">Usage of <b>Calculus::Atoms::is_equality_predicate</b>:<br><a href="11-ap.html#SP23">§23</a>, Propositions - <a href="11-pr.html#SP13">§13</a>, <a href="11-pr.html#SP24">§24</a><br>Simplifications - <a href="11-sm.html#SP3">§3</a>, <a href="11-sm.html#SP7">§7</a>, <a href="11-sm.html#SP14">§14</a>, <a href="11-sm.html#SP17">§17</a></span></button></span><span class="plain">(</span><span class="reserved">pcalc_prop</span><span class="plain"> *</span><span class="identifier">prop</span><span class="plain">) {</span>
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|
<span class="reserved">binary_predicate</span><span class="plain"> *</span><span class="identifier">bp</span><span class="plain"> = </span><span class="functiontext"><a href="11-ap.html#SP21">Calculus::Atoms::is_binary_predicate</a></span><span class="plain">(</span><span class="identifier">prop</span><span class="plain">);</span>
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<span class="reserved">if</span><span class="plain"> (</span><span class="identifier">bp</span><span class="plain"> == </span><span class="identifier">R_equality</span><span class="plain">) </span><span class="reserved">return</span><span class="plain"> </span><span class="identifier">TRUE</span><span class="plain">;</span>
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|
<span class="reserved">return</span><span class="plain"> </span><span class="identifier">FALSE</span><span class="plain">;</span>
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|
<span class="plain">}</span>
|
|
</pre>
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<p class="inwebparagraph"></p>
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<p class="inwebparagraph"><a id="SP22"></a><b>§22. </b>Given \(C\), return the proposition {\it is}(\(x\), \(C\)):
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</p>
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|
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<pre class="display">
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<span class="reserved">pcalc_prop</span><span class="plain"> *</span><span class="functiontext">Calculus::Atoms::prop_x_is_constant<button class="popup" onclick="togglePopup('usagePopup651')">...<span class="popuptext" id="usagePopup651">Usage of <b>Calculus::Atoms::prop_x_is_constant</b>:<br>Propositions - <a href="11-pr.html#SP35_3">§35.3</a><br>Descriptions - <a href="14-ds.html#SP5">§5</a></span></button></span><span class="plain">(</span><span class="identifier">parse_node</span><span class="plain"> *</span><span class="identifier">spec</span><span class="plain">) {</span>
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|
<span class="reserved">return</span><span class="plain"> </span><span class="functiontext"><a href="11-ap.html#SP21">Calculus::Atoms::binary_PREDICATE_new</a></span><span class="plain">(</span><span class="identifier">R_equality</span><span class="plain">,</span>
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|
<span class="functiontext"><a href="11-tr.html#SP4">Calculus::Terms::new_variable</a></span><span class="plain">(0), </span><span class="functiontext"><a href="11-tr.html#SP4">Calculus::Terms::new_constant</a></span><span class="plain">(</span><span class="identifier">spec</span><span class="plain">));</span>
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|
<span class="plain">}</span>
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|
</pre>
|
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|
<p class="inwebparagraph"></p>
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<p class="inwebparagraph"><a id="SP23"></a><b>§23. </b>And conversely:
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</p>
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<pre class="display">
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<span class="reserved">pcalc_term</span><span class="plain"> *</span><span class="functiontext">Calculus::Atoms::is_x_equals<button class="popup" onclick="togglePopup('usagePopup652')">...<span class="popuptext" id="usagePopup652">Usage of <b>Calculus::Atoms::is_x_equals</b>:<br>Sentence Conversions - <a href="11-sc.html#SP3_4">§3.4</a></span></button></span><span class="plain">(</span><span class="reserved">pcalc_prop</span><span class="plain"> *</span><span class="identifier">prop</span><span class="plain">) {</span>
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|
<span class="reserved">if</span><span class="plain"> (</span><span class="functiontext"><a href="11-ap.html#SP21">Calculus::Atoms::is_equality_predicate</a></span><span class="plain">(</span><span class="identifier">prop</span><span class="plain">) == </span><span class="identifier">FALSE</span><span class="plain">) </span><span class="reserved">return</span><span class="plain"> </span><span class="identifier">NULL</span><span class="plain">;</span>
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|
<span class="reserved">if</span><span class="plain"> (</span><span class="identifier">prop</span><span class="plain">-></span><span class="identifier">terms</span><span class="plain">[0].</span><span class="element">variable</span><span class="plain"> != </span><span class="constant">0</span><span class="plain">) </span><span class="reserved">return</span><span class="plain"> </span><span class="identifier">NULL</span><span class="plain">;</span>
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|
<span class="reserved">return</span><span class="plain"> &(</span><span class="identifier">prop</span><span class="plain">-></span><span class="element">terms</span><span class="plain">[1]);</span>
|
|
<span class="plain">}</span>
|
|
</pre>
|
|
|
|
<p class="inwebparagraph"></p>
|
|
|
|
<p class="inwebparagraph"><a id="SP24"></a><b>§24. Validating atoms. </b></p>
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|
|
<pre class="display">
|
|
<span class="reserved">char</span><span class="plain"> *</span><span class="functiontext">Calculus::Atoms::validate<button class="popup" onclick="togglePopup('usagePopup653')">...<span class="popuptext" id="usagePopup653">Usage of <b>Calculus::Atoms::validate</b>:<br>Propositions - <a href="11-pr.html#SP12">§12</a></span></button></span><span class="plain">(</span><span class="reserved">pcalc_prop</span><span class="plain"> *</span><span class="identifier">prop</span><span class="plain">) {</span>
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|
<span class="reserved">int</span><span class="plain"> </span><span class="identifier">group</span><span class="plain">;</span>
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<span class="reserved">if</span><span class="plain"> (</span><span class="identifier">prop</span><span class="plain"> == </span><span class="identifier">NULL</span><span class="plain">) </span><span class="reserved">return</span><span class="plain"> </span><span class="identifier">NULL</span><span class="plain">;</span>
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|
<span class="identifier">group</span><span class="plain"> = </span><span class="functiontext"><a href="11-ap.html#SP5">Calculus::Atoms::element_get_group</a></span><span class="plain">(</span><span class="identifier">prop</span><span class="plain">-></span><span class="element">element</span><span class="plain">);</span>
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<span class="reserved">if</span><span class="plain"> (</span><span class="identifier">group</span><span class="plain"> == </span><span class="constant">0</span><span class="plain">) </span><span class="reserved">return</span><span class="plain"> </span><span class="string">"atom of undiscovered element"</span><span class="plain">;</span>
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|
<span class="reserved">if</span><span class="plain"> (</span><span class="identifier">prop</span><span class="plain">-></span><span class="identifier">arity</span><span class="plain"> > </span><span class="constant">MAX_ATOM_ARITY</span><span class="plain">) </span><span class="reserved">return</span><span class="plain"> </span><span class="string">"atom with overly large arity"</span><span class="plain">;</span>
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|
<span class="reserved">if</span><span class="plain"> (</span><span class="identifier">prop</span><span class="plain">-></span><span class="identifier">arity</span><span class="plain"> < </span><span class="constant">0</span><span class="plain">) </span><span class="reserved">return</span><span class="plain"> </span><span class="string">"atom with negative arity"</span><span class="plain">;</span>
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|
<span class="reserved">if</span><span class="plain"> (</span><span class="identifier">prop</span><span class="plain">-></span><span class="identifier">arity</span><span class="plain"> == </span><span class="constant">0</span><span class="plain">) {</span>
|
|
<span class="reserved">if</span><span class="plain"> (</span><span class="identifier">group</span><span class="plain"> == </span><span class="constant">PREDICATES_GROUP</span><span class="plain">) </span><span class="reserved">return</span><span class="plain"> </span><span class="string">"predicate without terms"</span><span class="plain">;</span>
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|
<span class="reserved">if</span><span class="plain"> (</span><span class="identifier">prop</span><span class="plain">-></span><span class="identifier">element</span><span class="plain"> == </span><span class="constant">QUANTIFIER_ATOM</span><span class="plain">) </span><span class="reserved">return</span><span class="plain"> </span><span class="string">"quantifier without variable"</span><span class="plain">;</span>
|
|
<span class="plain">} </span><span class="reserved">else</span><span class="plain"> {</span>
|
|
<span class="reserved">if</span><span class="plain"> ((</span><span class="identifier">prop</span><span class="plain">-></span><span class="identifier">element</span><span class="plain"> != </span><span class="constant">PREDICATE_ATOM</span><span class="plain">) && (</span><span class="identifier">prop</span><span class="plain">-></span><span class="element">arity</span><span class="plain"> != </span><span class="constant">1</span><span class="plain">))</span>
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|
<span class="reserved">return</span><span class="plain"> </span><span class="string">"unary atom with other than one term"</span><span class="plain">;</span>
|
|
<span class="reserved">if</span><span class="plain"> ((</span><span class="identifier">group</span><span class="plain"> == </span><span class="constant">OPEN_OPERATORS_GROUP</span><span class="plain">) || (</span><span class="identifier">group</span><span class="plain"> == </span><span class="constant">CLOSE_OPERATORS_GROUP</span><span class="plain">))</span>
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|
<span class="reserved">return</span><span class="plain"> </span><span class="string">"parentheses with terms"</span><span class="plain">;</span>
|
|
<span class="plain">}</span>
|
|
<span class="reserved">if</span><span class="plain"> ((</span><span class="identifier">prop</span><span class="plain">-></span><span class="identifier">element</span><span class="plain"> == </span><span class="constant">QUANTIFIER_ATOM</span><span class="plain">) && (</span><span class="identifier">prop</span><span class="plain">-></span><span class="element">terms</span><span class="plain">[0].</span><span class="element">variable</span><span class="plain"> == -1))</span>
|
|
<span class="reserved">return</span><span class="plain"> </span><span class="string">"missing variable in quantification"</span><span class="plain">;</span>
|
|
<span class="reserved">return</span><span class="plain"> </span><span class="identifier">NULL</span><span class="plain">;</span>
|
|
<span class="plain">}</span>
|
|
</pre>
|
|
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|
<p class="inwebparagraph"></p>
|
|
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|
<p class="inwebparagraph"><a id="SP25"></a><b>§25. Debugging log. </b>Logging atomic propositions divides into cases:
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|
</p>
|
|
|
|
<pre class="display">
|
|
<span class="reserved">void</span><span class="plain"> </span><span class="functiontext">Calculus::Atoms::log<button class="popup" onclick="togglePopup('usagePopup654')">...<span class="popuptext" id="usagePopup654">Usage of <b>Calculus::Atoms::log</b>:<br>Core Module - <a href="1-cm.html#SP5">§5</a>, <a href="1-cm.html#SP6_6">§6.6</a><br>Propositions - <a href="11-pr.html#SP9">§9</a></span></button></span><span class="plain">(</span><span class="reserved">pcalc_prop</span><span class="plain"> *</span><span class="identifier">prop</span><span class="plain">) {</span>
|
|
<span class="reserved">if</span><span class="plain"> (</span><span class="identifier">prop</span><span class="plain"> == </span><span class="identifier">NULL</span><span class="plain">) { </span><span class="identifier">LOG</span><span class="plain">(</span><span class="string">"<null-atom>"</span><span class="plain">); </span><span class="reserved">return</span><span class="plain">; }</span>
|
|
<span class="reserved">switch</span><span class="plain">(</span><span class="identifier">prop</span><span class="plain">-></span><span class="element">element</span><span class="plain">) {</span>
|
|
<span class="reserved">case</span><span class="plain"> </span><span class="identifier">PREDICATE_ATOM:</span>
|
|
<span class="reserved">switch</span><span class="plain">(</span><span class="identifier">prop</span><span class="plain">-></span><span class="element">arity</span><span class="plain">) {</span>
|
|
<span class="reserved">case</span><span class="plain"> </span><span class="constant">1</span><span class="plain">: </span><<span class="cwebmacro">Log some suitable textual name for this unary predicate</span> <span class="cwebmacronumber">25.1</span>><span class="plain">; </span><span class="reserved">break</span><span class="plain">;</span>
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|
<span class="reserved">case</span><span class="plain"> </span><span class="constant">2</span><span class="plain">: </span><<span class="cwebmacro">Log some suitable textual name for this binary predicate</span> <span class="cwebmacronumber">25.2</span>><span class="plain">; </span><span class="reserved">break</span><span class="plain">;</span>
|
|
<span class="identifier">default:</span><span class="plain"> </span><span class="identifier">LOG</span><span class="plain">(</span><span class="string">"?exotic-predicate-arity=%d?"</span><span class="plain">, </span><span class="identifier">prop</span><span class="plain">-></span><span class="element">arity</span><span class="plain">); </span><span class="reserved">break</span><span class="plain">;</span>
|
|
<span class="plain">}</span>
|
|
<span class="reserved">break</span><span class="plain">;</span>
|
|
<span class="reserved">case</span><span class="plain"> </span><span class="identifier">QUANTIFIER_ATOM:</span><span class="plain"> {</span>
|
|
<span class="identifier">quantifier</span><span class="plain"> *</span><span class="identifier">quant</span><span class="plain"> = </span><span class="identifier">RETRIEVE_POINTER_quantifier</span><span class="plain">(</span><span class="identifier">prop</span><span class="plain">-></span><span class="element">predicate</span><span class="plain">);</span>
|
|
<span class="identifier">Quantifiers::log</span><span class="plain">(</span><span class="identifier">quant</span><span class="plain">, </span><span class="identifier">prop</span><span class="plain">-></span><span class="element">quantification_parameter</span><span class="plain">);</span>
|
|
<span class="identifier">LOG</span><span class="plain">(</span><span class="string">" "</span><span class="plain">); </span><<span class="cwebmacro">Log a comma-separated list of terms for this atomic proposition</span> <span class="cwebmacronumber">25.3</span>><span class="plain">;</span>
|
|
<span class="reserved">return</span><span class="plain">;</span>
|
|
<span class="plain">}</span>
|
|
<span class="reserved">case</span><span class="plain"> </span><span class="identifier">CALLED_ATOM:</span><span class="plain"> {</span>
|
|
<span class="identifier">wording</span><span class="plain"> </span><span class="identifier">W</span><span class="plain"> = </span><span class="functiontext"><a href="11-ap.html#SP17">Calculus::Atoms::CALLED_get_name</a></span><span class="plain">(</span><span class="identifier">prop</span><span class="plain">);</span>
|
|
<span class="identifier">LOG</span><span class="plain">(</span><span class="string">"called='%W'"</span><span class="plain">, </span><span class="identifier">W</span><span class="plain">);</span>
|
|
<span class="reserved">if</span><span class="plain"> (</span><span class="identifier">prop</span><span class="plain">-></span><span class="identifier">assert_kind</span><span class="plain">) </span><span class="identifier">LOG</span><span class="plain">(</span><span class="string">"($u)"</span><span class="plain">, </span><span class="identifier">prop</span><span class="plain">-></span><span class="element">assert_kind</span><span class="plain">);</span>
|
|
<span class="reserved">break</span><span class="plain">;</span>
|
|
<span class="plain">}</span>
|
|
<span class="reserved">case</span><span class="plain"> </span><span class="identifier">KIND_ATOM:</span>
|
|
<span class="reserved">if</span><span class="plain"> (</span><span class="identifier">Streams::I6_escapes_enabled</span><span class="plain">(</span><span class="identifier">DL</span><span class="plain">) == </span><span class="identifier">FALSE</span><span class="plain">) </span><span class="identifier">LOG</span><span class="plain">(</span><span class="string">"kind="</span><span class="plain">);</span>
|
|
<span class="identifier">LOG</span><span class="plain">(</span><span class="string">"$u"</span><span class="plain">, </span><span class="identifier">prop</span><span class="plain">-></span><span class="element">assert_kind</span><span class="plain">);</span>
|
|
<span class="reserved">if</span><span class="plain"> ((</span><span class="identifier">Streams::I6_escapes_enabled</span><span class="plain">(</span><span class="identifier">DL</span><span class="plain">) == </span><span class="identifier">FALSE</span><span class="plain">) && (</span><span class="identifier">prop</span><span class="plain">-></span><span class="element">composited</span><span class="plain">)) </span><span class="identifier">LOG</span><span class="plain">(</span><span class="string">"_c"</span><span class="plain">);</span>
|
|
<span class="reserved">if</span><span class="plain"> ((</span><span class="identifier">Streams::I6_escapes_enabled</span><span class="plain">(</span><span class="identifier">DL</span><span class="plain">) == </span><span class="identifier">FALSE</span><span class="plain">) && (</span><span class="identifier">prop</span><span class="plain">-></span><span class="element">unarticled</span><span class="plain">)) </span><span class="identifier">LOG</span><span class="plain">(</span><span class="string">"_u"</span><span class="plain">);</span>
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|
<span class="reserved">break</span><span class="plain">;</span>
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|
<span class="reserved">case</span><span class="plain"> </span><span class="identifier">ISAKIND_ATOM:</span><span class="plain"> </span><span class="identifier">LOG</span><span class="plain">(</span><span class="string">"is-a-kind"</span><span class="plain">); </span><span class="reserved">break</span><span class="plain">;</span>
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|
<span class="reserved">case</span><span class="plain"> </span><span class="identifier">ISAVAR_ATOM:</span><span class="plain"> </span><span class="identifier">LOG</span><span class="plain">(</span><span class="string">"is-a-var"</span><span class="plain">); </span><span class="reserved">break</span><span class="plain">;</span>
|
|
<span class="reserved">case</span><span class="plain"> </span><span class="identifier">ISACONST_ATOM:</span><span class="plain"> </span><span class="identifier">LOG</span><span class="plain">(</span><span class="string">"is-a-const"</span><span class="plain">); </span><span class="reserved">break</span><span class="plain">;</span>
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|
<span class="reserved">case</span><span class="plain"> </span><span class="identifier">EVERYWHERE_ATOM:</span><span class="plain"> </span><span class="identifier">LOG</span><span class="plain">(</span><span class="string">"everywhere"</span><span class="plain">); </span><span class="reserved">break</span><span class="plain">;</span>
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|
<span class="reserved">case</span><span class="plain"> </span><span class="identifier">NOWHERE_ATOM:</span><span class="plain"> </span><span class="identifier">LOG</span><span class="plain">(</span><span class="string">"nowhere"</span><span class="plain">); </span><span class="reserved">break</span><span class="plain">;</span>
|
|
<span class="reserved">case</span><span class="plain"> </span><span class="identifier">HERE_ATOM:</span><span class="plain"> </span><span class="identifier">LOG</span><span class="plain">(</span><span class="string">"here"</span><span class="plain">); </span><span class="reserved">break</span><span class="plain">;</span>
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|
<span class="reserved">case</span><span class="plain"> </span><span class="identifier">NEGATION_OPEN_ATOM:</span><span class="plain"> </span><span class="identifier">LOG</span><span class="plain">(</span><span class="string">"NOT["</span><span class="plain">); </span><span class="reserved">break</span><span class="plain">;</span>
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|
<span class="reserved">case</span><span class="plain"> </span><span class="identifier">NEGATION_CLOSE_ATOM:</span><span class="plain"> </span><span class="identifier">LOG</span><span class="plain">(</span><span class="string">"NOT]"</span><span class="plain">); </span><span class="reserved">break</span><span class="plain">;</span>
|
|
<span class="reserved">case</span><span class="plain"> </span><span class="identifier">DOMAIN_OPEN_ATOM:</span><span class="plain"> </span><span class="identifier">LOG</span><span class="plain">(</span><span class="string">"IN["</span><span class="plain">); </span><span class="reserved">break</span><span class="plain">;</span>
|
|
<span class="reserved">case</span><span class="plain"> </span><span class="identifier">DOMAIN_CLOSE_ATOM:</span><span class="plain"> </span><span class="identifier">LOG</span><span class="plain">(</span><span class="string">"IN]"</span><span class="plain">); </span><span class="reserved">break</span><span class="plain">;</span>
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|
<span class="identifier">default:</span><span class="plain"> </span><span class="identifier">LOG</span><span class="plain">(</span><span class="string">"?bad-atom?"</span><span class="plain">); </span><span class="reserved">break</span><span class="plain">;</span>
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|
<span class="plain">}</span>
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|
<span class="reserved">if</span><span class="plain"> (</span><span class="identifier">prop</span><span class="plain">-></span><span class="identifier">arity</span><span class="plain"> > </span><span class="constant">0</span><span class="plain">) {</span>
|
|
<span class="identifier">LOG</span><span class="plain">(</span><span class="string">"("</span><span class="plain">); </span><<span class="cwebmacro">Log a comma-separated list of terms for this atomic proposition</span> <span class="cwebmacronumber">25.3</span>><span class="plain">; </span><span class="identifier">LOG</span><span class="plain">(</span><span class="string">")"</span><span class="plain">);</span>
|
|
<span class="plain">}</span>
|
|
<span class="plain">}</span>
|
|
</pre>
|
|
|
|
<p class="inwebparagraph"></p>
|
|
|
|
<p class="inwebparagraph"><a id="SP25_1"></a><b>§25.1. </b><code class="display">
|
|
<<span class="cwebmacrodefn">Log some suitable textual name for this unary predicate</span> <span class="cwebmacronumber">25.1</span>> =
|
|
</code></p>
|
|
|
|
|
|
<pre class="displaydefn">
|
|
<span class="identifier">adjective_usage</span><span class="plain"> *</span><span class="identifier">tr</span><span class="plain"> = </span><span class="identifier">RETRIEVE_POINTER_adjective_usage</span><span class="plain">(</span><span class="identifier">prop</span><span class="plain">-></span><span class="element">predicate</span><span class="plain">);</span>
|
|
<span class="reserved">if</span><span class="plain"> (</span><span class="identifier">AdjectiveUsages::get_parity</span><span class="plain">(</span><span class="identifier">tr</span><span class="plain">) == </span><span class="identifier">FALSE</span><span class="plain">) </span><span class="identifier">LOG</span><span class="plain">(</span><span class="string">"not-"</span><span class="plain">);</span>
|
|
<span class="identifier">Adjectives::log</span><span class="plain">(</span><span class="identifier">AdjectiveUsages::get_aph</span><span class="plain">(</span><span class="identifier">tr</span><span class="plain">));</span>
|
|
</pre>
|
|
|
|
<p class="inwebparagraph"></p>
|
|
|
|
<p class="endnote">This code is used in <a href="11-ap.html#SP25">§25</a>.</p>
|
|
|
|
<p class="inwebparagraph"><a id="SP25_2"></a><b>§25.2. </b>And more easily:
|
|
</p>
|
|
|
|
|
|
<p class="macrodefinition"><code class="display">
|
|
<<span class="cwebmacrodefn">Log some suitable textual name for this binary predicate</span> <span class="cwebmacronumber">25.2</span>> =
|
|
</code></p>
|
|
|
|
|
|
<pre class="displaydefn">
|
|
<span class="reserved">binary_predicate</span><span class="plain"> *</span><span class="identifier">bp</span><span class="plain"> = </span><span class="identifier">RETRIEVE_POINTER_binary_predicate</span><span class="plain">(</span><span class="identifier">prop</span><span class="plain">-></span><span class="element">predicate</span><span class="plain">);</span>
|
|
<span class="reserved">if</span><span class="plain"> (</span><span class="identifier">bp</span><span class="plain"> == </span><span class="identifier">NULL</span><span class="plain">) </span><span class="identifier">LOG</span><span class="plain">(</span><span class="string">"?bad-bp?"</span><span class="plain">); </span><span class="reserved">else</span><span class="plain"> </span><span class="identifier">LOG</span><span class="plain">(</span><span class="string">"%S"</span><span class="plain">, </span><span class="functiontext"><a href="6-bp.html#SP36">BinaryPredicates::get_log_name</a></span><span class="plain">(</span><span class="identifier">bp</span><span class="plain">));</span>
|
|
</pre>
|
|
|
|
<p class="inwebparagraph"></p>
|
|
|
|
<p class="endnote">This code is used in <a href="11-ap.html#SP25">§25</a>.</p>
|
|
|
|
<p class="inwebparagraph"><a id="SP25_3"></a><b>§25.3. </b>Just a diagnostic way of printing the terms in an atomic proposition, by
|
|
their index numbers. (They are numbered from 0 to \(A-1\), where \(A\) is the
|
|
arity.)
|
|
</p>
|
|
|
|
|
|
<p class="macrodefinition"><code class="display">
|
|
<<span class="cwebmacrodefn">Log a comma-separated list of terms for this atomic proposition</span> <span class="cwebmacronumber">25.3</span>> =
|
|
</code></p>
|
|
|
|
|
|
<pre class="displaydefn">
|
|
<span class="reserved">int</span><span class="plain"> </span><span class="identifier">t</span><span class="plain">;</span>
|
|
<span class="reserved">for</span><span class="plain"> (</span><span class="identifier">t</span><span class="plain">=0; </span><span class="identifier">t</span><span class="plain"><</span><span class="identifier">prop</span><span class="plain">-></span><span class="element">arity</span><span class="plain">; </span><span class="identifier">t</span><span class="plain">++) {</span>
|
|
<span class="reserved">if</span><span class="plain"> (</span><span class="identifier">t</span><span class="plain">>0) </span><span class="identifier">LOG</span><span class="plain">(</span><span class="string">", "</span><span class="plain">);</span>
|
|
<span class="functiontext"><a href="11-tr.html#SP11">Calculus::Terms::log</a></span><span class="plain">(&(</span><span class="identifier">prop</span><span class="plain">-></span><span class="element">terms</span><span class="plain">[</span><span class="identifier">t</span><span class="plain">]));</span>
|
|
<span class="plain">}</span>
|
|
</pre>
|
|
|
|
<p class="inwebparagraph"></p>
|
|
|
|
<p class="endnote">This code is used in <a href="11-ap.html#SP25">§25</a> (twice).</p>
|
|
|
|
<hr class="tocbar">
|
|
<ul class="toc"><li><a href="11-tr.html">Back to 'Terms'</a></li><li><a href="11-pr.html">Continue with 'Propositions'</a></li></ul><hr class="tocbar">
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