For example p3 py px py

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Unformatted text preview: = z” be denoted by Q(x, y, z), with domain as the integers. Find these truth values: Q(2,- 1,3) Solution: T Q(3,4,7) Solution: F Q(x, 3, z) Solution: Not a Proposition Compound Expressions —༉  Connectives from PL carry over to predicate logic. —༉  If P(x) denotes “x > 0” find these truth values: P(3) ∨ P(- 1) Solution: T P(3) ∧ P(- 1) Solution: F P(3) → P(- 1) Solution: F P(- 3) → P(1) Solution: T —༉  Expressions with variables are not propositions and therefore do not have truth values. For example, P(3) ∧ P(y ) P(x ) → P(y ) —༉  When used with quantifiers (to be introduced next), these expressions (propositional functions) become propositions. Quan$fiers —༉  We need quantifiers to express the meaning of English words including all and some: —༉  “All men are Mortal.” —༉  “Some cats do not have fu...
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This document was uploaded on 02/27/2014 for the course CS 215 at SIU Carbondale.

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