Fundamental Proof Methods In Computer Science: A Computer-based Approach by Konstantine ArkoudasFundamental Proof Methods In Computer Science: A Computer-based Approach by Konstantine Arkoudas

Fundamental Proof Methods In Computer Science: A Computer-based Approach

byKonstantine Arkoudas, David Musser

Hardcover | May 5, 2017

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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.

Title:Fundamental Proof Methods In Computer Science: A Computer-based ApproachFormat:HardcoverDimensions:976 pages, 9 × 8 × 1.56 inPublished:May 5, 2017Publisher:The MIT PressLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0262035537

ISBN - 13:9780262035538

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Editorial Reviews

Working through the exercises in the book will help programmers think rigorously about their code. While learning Athena and going through hundreds of problems is a difficult task, it will lead not only to more correct code, but will help programmers to decompose the code into coherent subcomponents. My professional life would have been easier if this book was available when I was young.-Alexander Stepanov, coauthor of Elements of Programming and From Mathematics to Generic Programming