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COL703

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COL703
Logic for Computer Science
Credits 4
Structure 3-0-2
Pre-requisites COL106 OR Equivalent
Overlaps COL765 & COL226

COL703 : Logic for Computer Science

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Review of the principle of mathematical induction; the principle of structural induction; review of Boolean algebras; Syntax of propositional formulas; Truth and the semantics of propositional logic; Notions of satisfiability, validity, inconsistency; Deduction systems for propositional logic; Completeness of deduction systems; First order logic (FOL); Proof theory for FOL; introduction to model theory; completeness and compactness theorems; First order theories. Programming exercises will include representation and evaluation; conversion to normal-forms; tautology checking; proof normalization; resolution; unification; Skolemization, conversion to Horn-clauses; binary-decision diagrams. Decidability, undecidability and complexity results. Introduction to formal methods, temporal/modal logics. COL707 Introduction to Ethical Issues in Computer Science 4 credits (3-0-2) Pre-requisite(s):