The Calculus of Computation: Decision Procedures with Applications to Verification

ISBN-13: 9783642093470 / Angielski / Miękka / 2010 / 366 str.

Aaron R. Bradley; Zohar Manna

Opis

Written with graduate and advanced undergraduate students in mind, this textbook introduces computational logic from the foundations of first-order logic to state-of-the-art decision procedures for arithmetic, data structures, and combination theories. The textbook also presents a logical approach to engineering correct software. Verification exercises are given to develop the reader's facility in specifying and verifying software using logic. The treatment of verification concludes with an introduction to the static analysis of software, an important component of modern verification systems. The final chapter outlines courses of further study.

Recenzje

"...this book, which addresses the verification of sequential programs, exhibits all the features of a field that has finally fully matured. The material is substantial; it is organized very thoughtfully; the writing is concise but simple, easy to follow, and illustrated with ample examples... Overall, this book is very well written, thoughtfully constructed, and substantive yet accessible. It is bound to become a standard textbook in program verification." (Fatma Mill, ACM Computing Reviews, August 2008)

Spis treści

Foundations.- Propositional Logic.- First-Order Logic.- First-Order Theories.- Induction.- Program Correctness: Mechanics.- Program Correctness: Strategies.- Algorithmic Reasoning.- Quantified Linear Arithmetic.- Quantifier-Free Linear Arithmetic.- Quantifier-Free Equality and Data Structures.- Combining Decision Procedures.- Arrays.- Invariant Generation.- Further Reading.

O autorze

Computational logic is a fast-growing field. Written with graduate and advanced undergraduate students in mind, this textbook introduces computational logic from the foundations of first-order logic to state-of-the-art decision procedures for arithmetic, data structures, and combination theories. The textbook also presents a logical approach to engineering correct software as an application of computational logic. The increasing ubiquity of computers makes implementing correct systems more important than ever. Verification exercises develop the reader's facility in specifying and verifying software using logic. The treatment of verification concludes with an introduction to the static analysis of software, an important component of modern verification systems. For readers interested in learning more about computational logic, decision procedures, verification, and other areas of formal methods, the final chapter outlines courses of further study.

Blurb

Computational logic is a fast-growing field with applications in artificial intelligence, constraint solving, and the design and verification of software and hardware systems. Written with graduate and advanced undergraduate students in mind, this textbook introduces computational logic from the foundations of first-order logic to state-of-the-art decision procedures for arithmetic, data structures, and combination theories.

This textbook also presents a logical approach to engineering correct software. The increasing ubiquity of computers makes implementing correct systems more important than ever. Verification exercises develop the reader's facility in specifying and verifying software using logic. The treatment of verification concludes with an introduction to the static analysis of software, an important component of modern verification systems.

For readers interested in learning more about computational logic, decision procedures, verification, and other areas of formal methods, the final chapter outlines courses of further study.