Mathematical Logic For Computer Science (2nd Edition) by Zhongwan Lu (English) H

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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.

FORMATHardcover LANGUAGEEnglish CONDITIONBrand New Publisher Description

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.

Table of Contents

Part 1 Prerequisites: sets; inductive definitions and proofs; notations. Part 2 Classical propositional logic: propositions and connectives; propositional language; semantics; tautological consequence; formal deduction; disjunctive and conjunctive normal forms; adequate sets of connectives. Part 3 Classical first-order logic: proposition functions and quantifiers; first-order language; semantics; logical consequence; formal deduction; prenex normal form. Part 4 Axiomatic deduction system: axiomatic deduction system; relation between the two deduction systems. Part 5 Soundness and completeness: satisfiability and validity; soundness; completeness of propositional logic; completeness of first-order logic; completeness of first-order logic with equality; independence. Part 6 Compactness, Lowenheim-Skolem, and Herbrand theorems: compactness; Lowenheim-Skolem's theorem; Herbrand's theorem. Part 7 Constructive logic: constructivity of proofs; semantics; formal deduction; soundness; completeness. Part 8 Modal propositional logic: modal propositional language; semantics; formal deduction; soundness; completeness of T; completeness of S4, B, S5. Part 9 Modal first-order logic: modal first-order language; semantics; formal deduction; soundness; completeness; equality.

Details ISBN9810230915 Pages 256 Publisher World Scientific Publishing Co Pte Ltd Year 1998 Edition 2nd ISBN-10 9810230915 ISBN-13 9789810230913 Format Hardcover Imprint World Scientific Publishing Co Pte Ltd Place of Publication Singapore Country of Publication Singapore Replaces 9789971502515 DEWEY 511.3 Publication Date 1998-08-24 Short Title MATHEMATICAL LOGIC FOR COMPUTE Language English Media Book Series Number 0047 Series World Scientific Series In Computer Science DOI 10.1604/9789810230913 Author Zhongwan Lu Edition Description 2nd Revised edition Audience Undergraduate We've got this

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