Lecture 10(Monday) - CSC 165 mixed quanti ers Danny Heap...

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Unformatted text preview: CSC 165 mixed quanti ers Danny Heap [email protected] http://www.cdf.toronto.edu/ f heap/165/F10/ slide 1 recall: tabulating truth The standard venn diagram for 3 sets has 2 3 regions | one region for each possible combination of truth values for its component sets. We can get the same e ect with a rectangular diagram, or table: P Q R Q ) R P ) ( Q ) R ) T T T T T T T F F F T F T T T T F F T T F T T T T F T F F T F F T T T F F F T T As an exercise, compare this to the table for ( P ^ Q ) ) R . What do you conclude? slide 2 tautology, satis ability, unsatis ability You may have been unsettled in the previous slides that there were no domains stated for P; Q , or R , no de nitions for them, and nothing about what arguments (if any) these predicates take. The reason this was okay was that we considered all 8 possible truth values for P; Q , and R | all possible logical \worlds" that matter in their case....
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This note was uploaded on 10/13/2011 for the course COMPUTER S CSC 165 taught by Professor Dannyheap during the Fall '10 term at University of Toronto.

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Lecture 10(Monday) - CSC 165 mixed quanti ers Danny Heap...

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