Mathematical Logic for Computer Science
Mathematical Logic for Computer Science by Mordechai Ben-Ari is a comprehensive mathematics textbook published by Springer London on June 17, 2012. This third edition spans 346 pages and is presented in English. The book focuses on theorems and proofs tailored to meet the needs of computer science students, utilizing the method of semantic tableaux to provide a clear and theoretically sound approach to teaching logic.
Readers will find a structured exploration of various logical systems, including propositional logic, first-order logic, and Hoare logic, among others. The text emphasizes the application of these systems in computer science, particularly in areas such as logic programming and the verification of both sequential and concurrent programs. This edition also introduces new chapters covering contemporary topics like SAT solvers and model checking, enhancing its relevance to modern information technology and discrete mathematics.
Official synopsis Publisher
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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