# Lec1130 - COT 3100 Topics Covered Logic Use of truth tables logical connectives implications logic and implication laws use of quantifiers Sets

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COT 3100 Topics Covered Logic : Use of truth tables, logical connectives, implications, logic and implication laws, use of quantifiers Sets : Definition, Union, Intersection, Minus, Some Counting, Set Laws, Set Table, Venn Diagrams, Inclusion/Exclusion Principle Relations & Functions: Definition of a relation, reflexive, irreflexive, symmetric, anti-symmetric, transitive, injection, surjection, and bijection. Number Theory: Induction, Definition of divisibility, Use of mod and mod rules, Euclid’s Algorithm Strings and Languages: Regular expressions, DFAs, languages are sets of strings. Relevant parts in the book: Logic 2.1 – 2.4 Sets 3.1- 3.3 Number Theory 4.1 – 4.4 but I have dealt only with DFA’s. Since we have not had an exam with induction, number theory and strings and languages, that will be the stress of the exam. No need to memorize the logic or set laws – I will attach the necessary tables.

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Logic problem Show that the following is a tautology: ( (p r) ( (q r) p) ) ¬ ( ( ¬ (p q) ) p ). ( (p
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## This document was uploaded on 06/09/2011.

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Lec1130 - COT 3100 Topics Covered Logic Use of truth tables logical connectives implications logic and implication laws use of quantifiers Sets

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