Fundamental Proof Methods in Computer Science: A Computer-Based Approach (MIT Press)
Konstantine Arkoudas
ISBN 10: 0262035537 ISBN 13: 9780262035538
Published by The MIT Press, 2017
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About this Item
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Num Pages: 976 pages, 28 b&w illus. BIC Classification: UMS. Category: (U) Tertiary Education (US: College). Dimension: 229 x 203 x 33. . . 2017. 1st Edition. Hardcover. . . . . Seller Inventory # V9780262035538
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.
About the Author:
Konstantine Arkoudas is a Senior Research Scientist and Software Architect at Bloomberg. David Musser is Professor Emeritus of Computer Science at Rensselaer Polytechnic Institute.
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Bibliographic Details
Title: Fundamental Proof Methods in Computer ...
Publisher: The MIT Press
Publication Date: 2017
Binding: Hardcover
Condition: New
Edition: 1st Edition
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ISBN 10: 0262035537
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Hardcover. Condition: new. Hardcover. 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. A textbook that teaches students to read and write proofs using Athena. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9780262035538
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