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  • © 2012

Mathematical Logic for Computer Science

Authors:

  • 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)

  1. Front Matter

    Pages I-XV
  2. Introduction

    • Mordechai Ben-Ari
    Pages 1-6
  3. Propositional Logic: Deductive Systems

    • Mordechai Ben-Ari
    Pages 49-73
  4. Propositional Logic: Resolution

    • Mordechai Ben-Ari
    Pages 75-93
  5. Propositional Logic: Binary Decision Diagrams

    • Mordechai Ben-Ari
    Pages 95-110
  6. Propositional Logic: SAT Solvers

    • Mordechai Ben-Ari
    Pages 111-129
  7. First-Order Logic: Formulas, Models, Tableaux

    • Mordechai Ben-Ari
    Pages 131-154
  8. First-Order Logic: Deductive Systems

    • Mordechai Ben-Ari
    Pages 155-166
  9. First-Order Logic: Terms and Normal Forms

    • Mordechai Ben-Ari
    Pages 167-183
  10. First-Order Logic: Resolution

    • Mordechai Ben-Ari
    Pages 185-203
  11. First-Order Logic: Logic Programming

    • Mordechai Ben-Ari
    Pages 205-222
  12. Temporal Logic: Formulas, Models, Tableaux

    • Mordechai Ben-Ari
    Pages 231-262
  13. Temporal Logic: A Deductive System

    • Mordechai Ben-Ari
    Pages 263-272
  14. Verification of Sequential Programs

    • Mordechai Ben-Ari
    Pages 273-295
  15. Verification of Concurrent Programs

    • Mordechai Ben-Ari
    Pages 297-325
  16. Back Matter

    Pages 327-346

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

Buy it now

Buying options

eBook USD 49.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 64.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access