Logic for CS

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Contents:
introduction – Propositional Logic Syntax – Semantics of Propositional Logic – Logical and Algebraic Concepts – Identities and Normal forms – Tautology Checking-Propositional un satisfiability – Analytic Tableaux – Consistency and Completeness – The Completeness Theorem – Maximally Consistent Sets – Formal Theories – Proof Theory – Hilbert-style – Derived Rules – The Hilbert System Soundness,Completeness-Introduction to Predicate Logic-The Semantic of Predicate Logic-Sub situvations- Models

Structures and Substructures – First Order Theories-Predicate Logic: Proof Theory-Existential Quantification – Normal Forms-Scalalemization – Substitutions and Instantiations – Unification – Resolution in FOL – More on Resolution in FOL – Resolution : Soundness and Completeness – Resolution and Tableaux – Completeness of Tableaux Method – Completeness of the Hilbert System – Towards Logic Programming – Verification of Imperative Programs – Verification of WHILE Programs – References

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