Mathematical Logic for Computer Science

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Springer Science & Business Media, Jun 16, 2012 - Mathematics - 346 pages
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Mathematical Logic for Computer Science is a mathematics textbook with theorems and proofs, but the choice of topics has been guided by the needs of students of computer science. The method of semantic tableaux provides an elegant way to teach logic that is both theoretically sound and easy to understand. The uniform use of tableaux-based techniques facilitates learning advanced logical systems based on what the student has learned from elementary systems.

The logical systems presented are: propositional logic, first-order logic, resolution and its application to logic programming, Hoare logic for the verification of sequential programs, and linear temporal logic
for the verification of concurrent programs.

The third edition has been entirely rewritten and includes new chapters on central topics of modern computer science: SAT solvers and model checking.

 

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Contents

Introduction
1
Propositional Logic Formulas Models Tableaux
7
Propositional Logic Deductive Systems
49
Propositional Logic Resolution
75
Propositional Logic Binary Decision Diagrams
95
Propositional Logic SAT Solvers
111
FirstOrder Logic Formulas Models Tableaux
130
FirstOrder Logic Deductive Systems
155
FirstOrder Logic Undecidability and Model Theory
223
Temporal Logic Formulas Models Tableaux
231
Temporal Logic A Deductive System
263
Verification of Sequential Programs
273
Verification of Concurrent Programs
297
Set Theory
327
Index of Symbols
337
Name Index
339

FirstOrder Logic Terms and Normal Forms
167
FirstOrder Logic Resolution
185
FirstOrder Logic Logic Programming
205

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About the author (2012)

Mordechai (Moti) Ben-Ari is with the Department of Science Teaching at the Weizmann Institute of Science. He is a Distinguished Educator of the ACM and has received the ACM/SIGCSE Award for Outstanding Contributions to Computer Science Education.

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