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picture1_Calculus Pdf 169463 | Page18


picture2_Calculus Pdf 169463 | Page18 picture3_Calculus Pdf 169463 | Page18

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File: Calculus Pdf 169463 | Page18
CSC 438F/2404F Notes(S. Cook) Fall, 2008 Predicate Calculus (First-Order Logic) Syntax Arst-order vocabulary (or just vocabulary or language) L is specied by the following: 1) For each n ∈ N ...

icon picture PDF Filetype PDF | Posted on 25 Jan 2023 | 2 years ago
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...Csc f notes s cook fall predicate calculus first order logic syntax arst vocabulary or just language l is specied by the following for each n a set of ary function symbols possibly empty we use g h and also as metasymbols zero symbol called constant must be non some weuse p q r y z prime x here even are unary binary inx notation this can stated formula in since predicates dened terms example free bound variables denition an occurrence i it subformula form xb otherwise which denes above while occurrences intuitively meaning depends on values assigned to its but no value need variable give notice that have both one px xqx rst second term t closed if contains aclosed sentence semantics propositional truth assignment provides more complicated object structure interpretation formulas then mconsists nonempty m universe discourse range over associated fm mn simply element relation pm true equality gets special treatment always other may interpreted arbitrary relations appropriate arity...
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