Propositional and Predicate Calculus - Carleton University

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5/77 Outline and Introduction Propositional Calculus Predicate Calculus Inference Rules Unification Resolution Theorem Proving Propositional Syntax Introduction Propositional Syntax Propositional Semantic Constructing New Logical Equivalence DEFINITION PROPOSITIONAL CALCULUS SYMBOLS The symbols of propositional calculus are the Propositional symbols: P, Q, R, S,... The Truth symbols: true, false And the Connectives: ∧, ∨, ¬, →, ≡
6/77 Outline and Introduction Propositional Calculus Predicate Calculus Inference Rules Unification Resolution Theorem Proving Propositional Syntax 1 Introduction Propositional Syntax Propositional Semantic Constructing New Logical Equivalence DEFINITION PROPOSITIONAL CALCULUS SENTENCES Every propositional symbol and truth symbol is a sentence For example: true, P, Q, and R are sentences The negation of a sentence is a sentence For example: ¬P and ¬false are sentences The conjunction, or and, of two sentences is a sentence For example: P ∧¬P is a sentence
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Propositional and Predicate Calculus - Carleton University

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