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<ul class="crumbs"><li><a href="../index.html">Home</a></li><li><a href="../services.html">Services</a></li><li><b>calculus</b></li></ul>
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<p class="purpose">Storing and simplifying propositions in predicate calculus. This is version 1.</p>
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<hr>
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<div class="contentspage">
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<ul class="chapterlist">
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<li>
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<p class="chapterentry"><a name="P"></a>
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<span class="chaptertitle">Preliminaries</span></p>
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<ul class="sectionlist">
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<li>
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<p class="sectionentry"><a href="P-wtmd.html">
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<spon class="sectiontitle">What This Module Does</span></a> -
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<span class="sectionpurpose">An overview of the calculus module's role and abilities.</span></p>
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</li>
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<li>
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<p class="sectionentry"><a href="P-htitm.html">
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<spon class="sectiontitle">How To Include This Module</span></a> -
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<span class="sectionpurpose">What to do to make use of the calculus module in a new command-line tool.</span></p>
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</li>
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</ul>
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</li>
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<li>
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<p class="chapterentry"><a name="1"></a>
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<span class="chaptertitle">Chapter 1: Setting Up</span></p>
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<ul class="sectionlist">
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<li>
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<p class="sectionentry"><a href="1-cm.html">
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<spon class="sectiontitle">Calculus Module</span></a> -
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<span class="sectionpurpose">Setting up the use of this module.</span></p>
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</ul>
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</li>
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<li>
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<p class="chapterentry"><a name="2"></a>
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<span class="chaptertitle">Chapter 2: Unary Predicates</span></p>
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<ul class="sectionlist">
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<li>
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<p class="sectionentry"><a href="2-up.html">
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<spon class="sectiontitle">Unary Predicates</span></a> -
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<span class="sectionpurpose">A lightweight structure to represent a unary predicate, which is either true or false when applied to a single term.</span></p>
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<li>
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<p class="sectionentry"><a href="2-upf.html">
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<spon class="sectiontitle">Unary Predicate Families</span></a> -
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<span class="sectionpurpose">To create sets of unary predicates for different purposes.</span></p>
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<li>
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<p class="sectionentry"><a href="2-kp.html">
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<spon class="sectiontitle">Kind Predicates</span></a> -
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<span class="sectionpurpose">To define the predicates for membership of a kind.</span></p>
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</li>
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</ul>
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</li>
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<li>
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<p class="chapterentry"><a name="3"></a>
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<span class="chaptertitle">Chapter 3: Binary Predicates</span></p>
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<ul class="sectionlist">
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<li>
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<p class="sectionentry"><a href="3-bpf.html">
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<spon class="sectiontitle">Binary Predicate Families</span></a> -
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<span class="sectionpurpose">To create sets of relations for different purposes.</span></p>
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</li>
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<p class="sectionentry"><a href="3-bptd.html">
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<spon class="sectiontitle">Binary Predicate Term Details</span></a> -
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<span class="sectionpurpose">To keep track of requirements on the terms for a binary predicate.</span></p>
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<p class="sectionentry"><a href="3-bp.html">
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<spon class="sectiontitle">Binary Predicates</span></a> -
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<span class="sectionpurpose">To create and manage binary predicates, which are the underlying data structures beneath Inform's relations.</span></p>
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</li>
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<li>
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<p class="sectionentry"><a href="3-ter.html">
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<spon class="sectiontitle">The Equality Relation</span></a> -
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<span class="sectionpurpose">To define that prince among predicates, the equality relation; and also its less noble sidekick, the "has" relation.</span></p>
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</li>
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<li>
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<p class="sectionentry"><a href="3-cs.html">
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<spon class="sectiontitle">Compilation Schemas</span></a> -
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<span class="sectionpurpose">To manage prototype pieces of code for use in code-generation.</span></p>
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</li>
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</ul>
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</li>
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<li>
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<p class="chapterentry"><a name="4"></a>
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<span class="chaptertitle">Chapter 4: Propositions</span></p>
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<ul class="sectionlist">
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<li>
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<p class="sectionentry"><a href="4-trm.html">
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<spon class="sectiontitle">Terms</span></a> -
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<span class="sectionpurpose">Terms are the representations of values in predicate calculus: variables, constants or functions of other terms.</span></p>
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</li>
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<li>
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<p class="sectionentry"><a href="4-ap.html">
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<spon class="sectiontitle">Atomic Propositions</span></a> -
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<span class="sectionpurpose">To build and modify atoms, the syntactic pieces from which propositions are built up.</span></p>
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</li>
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<li>
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<p class="sectionentry"><a href="4-prp.html">
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<spon class="sectiontitle">Propositions</span></a> -
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<span class="sectionpurpose">To build and modify structures representing propositions in predicate calculus.</span></p>
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</li>
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<li>
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<p class="sectionentry"><a href="4-bas.html">
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<spon class="sectiontitle">Binding and Substitution</span></a> -
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<span class="sectionpurpose">To substitute constants into propositions in place of variables, and to apply quantifiers to bind any unbound variables.</span></p>
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</li>
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<li>
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<p class="sectionentry"><a href="4-tcp.html">
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<spon class="sectiontitle">Type Check Propositions</span></a> -
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<span class="sectionpurpose">Predicate calculus is a largely symbolic exercise, and its rules of working tend to assume that all predicates are meaningful for all terms: this means, for instance, that "if blue is 14" is likely to make a well-formed sentence in predicate calculus. In this section we reject such propositions on the grounds that they violate type-checking requirements on relations -- in this example, the equality relation.</span></p>
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</li>
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</ul>
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</li>
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<li>
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<p class="chapterentry"><a name="5"></a>
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<span class="chaptertitle">Chapter 5: Sentences</span></p>
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<ul class="sectionlist">
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<li>
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<p class="sectionentry"><a href="5-sc.html">
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<spon class="sectiontitle">Sentence Conversions</span></a> -
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<span class="sectionpurpose">Turning parse trees from English sentences into logical propositions.</span></p>
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</li>
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<li>
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<p class="sectionentry"><a href="5-smp.html">
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<spon class="sectiontitle">Simplifications</span></a> -
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<span class="sectionpurpose">A set of operations which rewrite propositions to make them easier or quicker to test at run-time without changing their meaning.</span></p>
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</li>
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</ul>
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</li>
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</ul>
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</div>
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<hr>
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<p class="purpose">Powered by <a href="https://github.com/ganelson/inweb">Inweb</a>.</p>
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