'Multiple quantifiers' presentation slideshows

Lecture 3: Logic (2)

Lecture 3: Logic (2). Propositional Equivalences Predicates and Quantifiers. 3.1. Propositional Equivalences. Categories of compound propositions: A tautology is a proposition which is always true . Classic Example: P ?? P A contradiction is a proposition which is always false .

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CS 1502 Formal Methods in Computer Science

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Single Quantifier, Multiple Predicates

Single Quantifier, Multiple Predicates. some S tudent R espects Jay. there is some one. who is a student. AND. who respects Jay . there is some x. x is a student. AND. x respects Jay . ? x. Sx. (. ?. Rxj. ). ? x ( Sx ? Rxj ). Single Quantifier, Multiple Predicates.

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Nested Quantifiers

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Nested Quantifiers

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Discrete Structures

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Multiple Quantifiers

Language, Proof and Logic. Multiple Quantifiers. Chapter 11. 11.1. Multiple uses of a single quantifier. What do the following sentences say?. 1. ?x?y[Cube(x)?Tet(y)?LeftOf(x,y)]. 2. ?x?y[(Cube(x)?Tet(y))?LeftOf(x,y)]. 3. ?x[Cube(x)? ?y(Tet(y)?LeftOf(x,y))].

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