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The Satisfiability Problem

Algorithms and Analyses
Buch | Softcover
184 Seiten
2013
Lehmanns Media (Verlag)
978-3-86541-527-1 (ISBN)
CHF 27,90 inkl. MwSt
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The satisfiability problem of propositional logic, SAT for short, is the first algorithmic problem that was shown to be NP-complete, and is the cornerstone of virtually all NP-completeness proofs. The SAT problem consists of deciding whether a given Boolean formula has a “solution”, in the sense of an assignment to the variables making the entire formula to evaluate to true.

Over the last few years very powerful algorithms have been devised being able to solve SAT problems with hundreds of thousands of variables. For difficult (or randomly generated) formulas these algorithms can be compared to the proverbial search for the needle in a haystack. This book explains how such algorithms work, for example, by exploiting the structure of the SAT problem with an appropriate logical calculus, like resolution. But also algorithms based on “physical” principles are considered.

The authors, Dr. Uwe Schöning and Dr. Jacobo Toran, are professors in the Institute of Theoretical Computer Science at the University of Ulm, Germany.

I was delighted to see how nicely the authors were able to cover such a variety of topics with elegance. I cannot resist saying that the introduction to SAT on page 9 is absolutely the best I ever expect to see in any book!
Donald E. Knuth, Stanford University

This book gives lucid descriptions of algorithms for SAT that are better than you would think! A must-read for anyone in theory.
William Gasarch, University of Maryland

It was a wonderful surprise to see a deep mathematical analysis of important algorithms for SAT presented so clearly and concisely. This is an excellent introductory book for studying the foundations of constraint satisfaction.
Osamu Watanabe, Tokyo Institute of Technology

Erscheint lt. Verlag 25.7.2013
Reihe/Serie Mathematik für Anwendungen ; 3
Mathematik für Anwendungen ; 3
Verlagsort Berlin
Sprache englisch
Maße 170 x 240 mm
Gewicht 454 g
Einbandart kartoniert
Themenwelt Informatik Theorie / Studium Algorithmen
Schlagworte Algorithmus • Aussagenlogik • SAT
ISBN-10 3-86541-527-X / 386541527X
ISBN-13 978-3-86541-527-1 / 9783865415271
Zustand Neuware
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