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Mathematical Logic for Computer Science

  • Textbook
  • © 2012

Overview

  • Semantic tableaux are used because they are theoretically sound and easy to understand
  • The Third Edition has new chapters on SAT solvers and model checking
  • Supplementary materials: Prolog source code for the algorithms and answers to the exercises (available to qualified instructors)
  • Includes supplementary material: sn.pub/extras
  • Includes supplementary material: sn.pub/extras
  • Request lecturer material: sn.pub/lecturer-material

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Table of contents (16 chapters)

Keywords

About this book

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.

Reviews

Asst. Prof. Manoj Raut, Dhirubhai Ambani Institute of Information and Communication Technology, India

Excerpts from full review posted Jan 15 2013 to Computing Reviews [Review #: CR140831]

I have used the second edition of this book for my class. I find this new third edition more interesting and more elaborately written; I like it very much, and applaud the author for his work.

Authors and Affiliations

  • Department of Science Teaching, Weizmann Institute of Science, Rehovot, Israel

    Mordechai Ben-Ari

About the author

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.

Bibliographic Information

  • Book Title: Mathematical Logic for Computer Science

  • Authors: Mordechai Ben-Ari

  • DOI: https://doi.org/10.1007/978-1-4471-4129-7

  • Publisher: Springer London

  • eBook Packages: Computer Science, Computer Science (R0)

  • Copyright Information: Springer-Verlag London 2012

  • Softcover ISBN: 978-1-4471-4128-0Published: 17 June 2012

  • eBook ISBN: 978-1-4471-4129-7Published: 16 June 2012

  • Edition Number: 3

  • Number of Pages: XV, 346

  • Number of Illustrations: 79 b/w illustrations

  • Additional Information: Originally published by Prentice Hall International Ltd., UK, 1993

  • Topics: Mathematical Logic and Formal Languages, Mathematical Logic and Foundations

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