Decision Procedures

An Algorithmic Point of View
Softcover Nachdruck of the original 2. Auflage 2016
ISBN: 978-3-662-57065-4
Verlag: Springer

Buch, Englisch, 356 Seiten, Previously published in hardcover, Format (B × H): 155 mm x 235 mm, Gewicht: 575 g

Reihe: Texts in Theoretical Computer Science. An EATCS Series

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 satisfiability modulo theories and then, in separate chapters, study decision procedures for each of the following theories: propositional logic; equalities and uninterpreted functions; linear arithmetic; bit vectors; arrays; pointer logic; and quantified formulas.

Zielgruppe

Upper undergraduate

Autoren/Hrsg.

Strichman, Ofer

Kroening, Daniel

Fachgebiete

• Mathematik | Informatik EDV | Informatik Informatik Theoretische Informatik
• Mathematik | Informatik EDV | Informatik Programmierung | Softwareentwicklung Software Engineering

Inhaltsverzeichnis

Introduction and Basic Concepts.- Decision Procedures for Propositional Logic.- From Propositional to Quantifier-Free Theories.- Equalities and Uninterpreted Functions.- Linear Arithmetic.- Bit Vectors.- Arrays.- Pointer Logic.- Quantified Formulas.- Deciding a Combination of Theories.- Propositional Encodings.- Applications in Software Engineering.- SMT-LIB 2.0: A Brief Tutorial.- A C++ Library for Developing Decision Procedures.

Über Autor(innen)

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.