Overview

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.

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9783540848417

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<p>From the reviews: <p> This book has two topics as main points: decision procedures and algorithms to be applied for these decisions . Such an approach is very useful for graduate students or students in year four or five . Each chapter introduces and explains a lot of different concepts and presents good examples, some problems and exercises with algorithm-based solutions, and a glossary at its end, which makes the book very applicable and readable. The book is very well written and interesting to read. (Christian Posthoff, Zentralblatt MATH, Vol. 1149, 2008)<p> There are a number of things that I like about the book. Although the material is often complex, the exposition is extremely clear, precise and meticulous. A definition is almost always followed by a clarifying example. As noted above, Kroening and Strichman go to great efforts to explain the notations used. In fact, I'd be hard pressed to think of another text on an advanced subject that does so much to make the materia

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