Texts in Theoretical Computer Science. An EATCS Series

Decision Procedures

An Algorithmic Point of View

Authors: Kroening, Daniel, Strichman, Ofer

  • New edition of successful textbook
  • Authors have expanded the chapter on propositional encodings, added further modern SAT heuristics, and added a chapter on the application of SMT for software engineering in industry
  • Suitable for advanced undergraduate and graduate students and researchers in theoretical computer science and software engineering 
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eBook 55,92 €
price for Spain (gross)
  • ISBN 978-3-662-50497-0
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 69,67 €
price for Spain (gross)
  • ISBN 978-3-662-50496-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
About this Textbook

A decision procedure is an algorithm that, given a decision problem, terminates with a correct yes/no answer. Here, the authors focus on theories that are expressive enough to model real problems, but are still decidable. Specifically, the book concentrates on decision procedures for first-order theories that are commonly used in automated verification and reasoning, theorem-proving, compiler optimization and operations research. The techniques described in the book draw from fields such as graph theory and logic, and are routinely used in industry.

The authors introduce the basic terminology of SAT, Satisfiability Modulo Theories (SMT) and the DPLL(T) framework. Then, in separate chapters, they study decision procedures for propositional logic; equalities and uninterpreted functions; linear arithmetic; bit vectors; arrays; pointer logic; and quantified formulas. They also study the problem of deciding combined theories based on the Nelson-Oppen procedure.

The first edition of this book was adopted as a textbook in courses worldwide. It was published in 2008 and the field now called SMT was then in its infancy, without the standard terminology and canonic algorithms it has now; this second edition reflects these changes. It brings forward the DPLL(T) framework. It also expands the SAT chapter with modern SAT heuristics, and includes a new section about incremental satisfiability, and the related Constraints Satisfaction Problem (CSP).  The chapter about quantifiers was expanded with a new section about general quantification using E-matching and a section about Effectively Propositional Reasoning (EPR). The book also includes a new chapter on the application of SMT in industrial software engineering and in computational biology, coauthored by Nikolaj Bjørner and Leonardo de Moura, and Hillel Kugler, respectively.

Each chapter includes a detailed bibliography and exercises. Lecturers’ slides and a C++ library for rapid prototyping of decision procedures are available from the authors’ website.

About the authors

Daniel Kroening is a professor in the Dept. of Computer Science at the University of Oxford; his interests include automated verification, software engineering, and programming languages. Ofer Strichman is a professor in the faculty of industrial engineering and management at the Technion; his research interests include formal verification of software and hardware, and decision procedures for fragments of first-order logic.

Table of contents (12 chapters)

  • Introduction and Basic concepts

    Kroening, Daniel (et al.)

    Pages 1-25

    Preview Buy Chapter 30,19 €
  • Decision Procedures for Propositional Logic

    Kroening, Daniel (et al.)

    Pages 27-58

    Preview Buy Chapter 30,19 €
  • From Propositional to Quantifier-Free Theories

    Kroening, Daniel (et al.)

    Pages 59-76

    Preview Buy Chapter 30,19 €
  • Equality Logic and Uninterpreted Functions

    Kroening, Daniel (et al.)

    Pages 77-95

    Preview Buy Chapter 30,19 €
  • Linear Arithmetic

    Kroening, Daniel (et al.)

    Pages 97-133

    Preview Buy Chapter 30,19 €

Buy this book

eBook 55,92 €
price for Spain (gross)
  • ISBN 978-3-662-50497-0
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 69,67 €
price for Spain (gross)
  • ISBN 978-3-662-50496-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Decision Procedures
Book Subtitle
An Algorithmic Point of View
Authors
Series Title
Texts in Theoretical Computer Science. An EATCS Series
Copyright
2016
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-662-50497-0
DOI
10.1007/978-3-662-50497-0
Hardcover ISBN
978-3-662-50496-3
Series ISSN
1862-4499
Edition Number
2
Number of Pages
XXI, 356
Number of Illustrations and Tables
59 b/w illustrations, 5 illustrations in colour
Topics