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Lecture 3

# I&C SCI 6B Lecture 3: ICS 6B Lecture 3 Fall 2017

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Department
Information and Computer Science
Course Code
I&C SCI 6B
Professor
Irani

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Description
10/5/17 ICS 6B – Lecture 3 – Logical Equivalence and Logical Reasoning Logical equivalence: • Compound propositions are logically equivalent if they have the same truth value for every combination of truth values for their individual propositions. • Two logically equivalent compound propositions may not necessarily have the same set of variables. De Morgan’s Law: • ~(p ^ q)  ~p v ~q • ~(p v q)  ~p ^ ~q Conditional Identity: • p -> q  ~p v q Showing logical equivalence: • To show that two propositions are logically equivalent, the truth values must be shown equal for every possible combination of truth values for the individual proposition. • To show non-equivalence, it is only necessary to f
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