Propositional and Predicate Calculus - Carleton University
Propositional and Predicate Calculus - Carleton University
Propositional and Predicate Calculus - Carleton University
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Outline <strong>and</strong> Introduction<br />
<strong>Propositional</strong> <strong>Calculus</strong><br />
<strong>Predicate</strong> <strong>Calculus</strong><br />
Inference Rules<br />
Unification<br />
Resolution Theorem Proving<br />
<strong>Predicate</strong>s <strong>and</strong> Atomic Sentences<br />
Introduction<br />
<strong>Predicate</strong>s <strong>and</strong> Sentences: Syntax<br />
General Important Notes<br />
Atomic Sentences<br />
<strong>Predicate</strong> <strong>Calculus</strong>: Semantics<br />
<strong>Predicate</strong> Equivalences<br />
Some Examples<br />
An Atomic sentence is a primitive unit of the predicate language.<br />
An Atomic sentence is a predicate with arity followed by n terms<br />
Enclosed between parentheses <strong>and</strong> separated by commas.<br />
Examples:<br />
friends(george, kate)<br />
friends(george, X)<br />
friends(george, sara, sam)<br />
friends(father(david), father(sara)) → friends(mike, john)
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