Mathematical Logic for Computer Science

  • Mordechai┬áBen-Ari

Table of contents

  1. Front Matter
    Pages I-XV
  2. Mordechai Ben-Ari
    Pages 1-6
  3. Mordechai Ben-Ari
    Pages 49-73
  4. Mordechai Ben-Ari
    Pages 75-93
  5. Mordechai Ben-Ari
    Pages 95-110
  6. Mordechai Ben-Ari
    Pages 111-129
  7. Mordechai Ben-Ari
    Pages 131-154
  8. Mordechai Ben-Ari
    Pages 155-166
  9. Mordechai Ben-Ari
    Pages 167-183
  10. Mordechai Ben-Ari
    Pages 185-203
  11. Mordechai Ben-Ari
    Pages 205-222
  12. Mordechai Ben-Ari
    Pages 231-262
  13. Mordechai Ben-Ari
    Pages 263-272
  14. Mordechai Ben-Ari
    Pages 273-295
  15. 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.

There are 150 exercises with answers available to qualified instructors.

Documented, open-source, Prolog source code for the algorithms is available at

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. His other textbooks published by Springer are: Ada for Software Engineers (Second Edition) and Principles of the Spin Model Checker.


First-Order Logic Propositional Logic SAT Solvers Set Theory Temporal Logic

Authors and affiliations

  • Mordechai┬áBen-Ari
    • 1
  1. 1.Department of Science TeachingWeizmann Institute of ScienceRehovotIsrael

Bibliographic information

  • DOI
  • Copyright Information Springer-Verlag London 2012
  • Publisher Name Springer, London
  • eBook Packages Computer Science
  • Print ISBN 978-1-4471-4128-0
  • Online ISBN 978-1-4471-4129-7
  • Buy this book on publisher's site