Fundamental Proof Methods in Computer Science

Fundamental Proof Methods in Computer Science A Computer-Based Approach - The MIT Press

Hardback (09 Jun 2017)

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Publisher's Synopsis

A textbook that teaches students to read and write proofs using Athena.

Proof is the primary vehicle for knowledge generation in mathematics. In computer science, proof has found an additional use: verifying that a particular system (or component, or algorithm) has certain desirable properties. This book teaches students how to read and write proofs using Athena, a freely downloadable computer language. Athena proofs are machine-checkable and written in an intuitive natural-deduction style. The book contains more than 300 exercises, most with full solutions. By putting proofs into practice, it demonstrates the fundamental role of logic and proof in computer science as no other existing text does. Guided by examples and exercises, students are quickly immersed in the most useful high-level proof methods, including equational reasoning, several forms of induction, case analysis, proof by contradiction, and abstraction/specialization. The book includes auxiliary material on SAT and SMT solving, automated theorem proving, and logic programming.

The book can be used by upper undergraduate or graduate computer science students with a basic level of programming and mathematical experience. Professional programmers, practitioners of formal methods, and researchers in logic-related branches of computer science will find it a valuable reference.

Book information

ISBN: 9780262035538
Publisher: The MIT Press
Imprint: The MIT Press
Pub date:
DEWEY: 004.0151
DEWEY edition: 23
Language: English
Number of pages: xxvii, 941
Weight: 1770g
Height: 213mm
Width: 284mm
Spine width: 40mm