Mathematical logic for computer science

by Lu, Zhongwan

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Full title :Mathematical logic for computer science / Lu Zhongwan

Summary

Introduction. 1. Prerequisites. 1.1. Sets. 1.2. Inductive definitions and proofs. 1.3. Notations -- 2. Classical Propositional Logic. 2.1. Propositions and connectives. 2.2. Propositional language. 2.3. Structure of formulas. 2.4. Semantics. 2.5. Tautological consequence. 2.6. Formal deduction. 2.7. Disjunctive and conjunctive normal forms. 2.8. Adequate sets of connectives -- 3. Classical First-Order Logic. 3.1. Proposition functions and quantifiers. 3.2. First-order language. 3.3. Semantics. 3.4. Logical consequence. 3.5. Formal deduction. 3.6. Prenex normal form ... -- 9.2. Semantics. 9.3. Formal deduction. 9.4. Soundness. 9.5. Completenes. 9.6. Equality

Mathematical logic is essentially related to computer science. This book describes the aspects of mathematical logic that are closely related to each other, including classical logic, constructive logic, and modal logic. This book is intended to attend to both the peculiarities of logical systems and the requirements of computer science. In this edition, the revisions essentially involve rewriting the proofs, increasing the explanations, and adopting new terms and notations