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 computer science students. The method of semantic tableaux provides an elegant way to teach logic that is both theoretically sound and yet sufficiently elementary for undergraduates. To provide a balanced treatment of logic, tableaux are related to deductive proof systems. The logical systems presented are: - Propositional calculus (including binary decision diagrams); - Predicate calculus; - Resolution; - Hoare logic; - Z; - Temporal logic. Answers to exercises (for instructors only) as well as Prolog source code for algorithms may be found via the Springer London web site: http://www.springer.com/978-1-85233-319-5 Mordechai Ben-Ari is an associate professor in the Department of Science Teaching of the Weizmann Institute of Science. He is the author of numerous textbooks on concurrency, programming languages and logic, and has developed software tools for teaching concurrency. In 2004, Ben-Ari received the ACM/SIGCSE Award for Outstanding Contributions to Computer Science Education Front Matter....Pages i-xiv Introduction....Pages 1-7 Propositional Calculus: Formulas, Models, Tableaux....Pages 9-41 Propositional Calculus: Deductive Systems....Pages 43-65 Propositional Calculus: Resolution and BDDs....Pages 67-100 Predicate Calculus: Formulas, Models, Tableaux....Pages 101-126 Predicate Calculus: Deductive Systems....Pages 127-138 Predicate Calculus: Resolution....Pages 139-172 Logic Programming....Pages 173-200 Programs: Semantics and Verification....Pages 201-220 Programs: Formal specification with Z....Pages 221-234 Temporal Logic: Formulas, Models, Tableaux....Pages 235-256 Temporal Logic: Deduction and Applications....Pages 257-282 Back Matter....Pages 283-304 This is a mathematics textbook with theorems and proofs. The choice of topics has been guided by the needs of computer science students. The method of semantic tableaux provides an elegant way to teach logic that is both theoretically sound and yet sufficiently elementary for undergraduates. In order to provide a balanced treatment of logic, tableaux are related to deductive proof systems. The book presents various logical systems and contains exercises. Still further, Prolog source code is available on an accompanying Web site. The author is an Associate Professor at the Department of Science Teaching, Weizmann Institute of Science. "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 computer science students. The method of semantic tableaux provides a way to teach logic that is both theoretically sound and yet sufficiently elementary for undergraduates. To provide a balanced treatment of logic, tableaux are related to deductive proof systems."--Jacket Including theorems and proofs, this book presents logical systems such as Propositional calculus; Predicate calculus; Resolution; Hoare logic; Z; and, Temporal logic. Mordechai Ben-ari. Includes Bibliographical References (p. [293]-295) And Indexes.
