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Open AccessProceedings ArticleDOI

Efficient conflict driven learning in a boolean satisfiability solver

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TLDR
This paper generalizes various conflict driven learning strategies in terms of different partitioning schemes of the implication graph to re-examine the learning techniques used in various SAT solvers and propose an array of new learning schemes.
Abstract
One of the most important features of current state-of-the-art SAT solvers is the use of conflict based backtracking and learning techniques. In this paper, we generalize various conflict driven learning strategies in terms of different partitioning schemes of the implication graph. We re-examine the learning techniques used in various SAT solvers and propose an array of new learning schemes. Extensive experiments with real world examples show that the best performing new learning scheme has at least a 2/spl times/ speedup compared with learning schemes employed in state-of-the-art SAT solvers.

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Journal ArticleDOI

Conflict-driven answer set solving: From theory to practice

TL;DR: An approach to computing answer sets of logic programs, based on concepts successfully applied in Satisfiability (SAT) checking, to view inferences in Answer Set Programming (ASP) as unit propagation on nogoods, and presents the first full-fledged algorithmic framework for native conflict-driven ASP solving.
Journal ArticleDOI

Efficient Solving of Large Non-linear Arithmetic Constraint Systems with Complex Boolean Structure

TL;DR: This work provides a tight integration of recent SAT solving techniques with interval-based arithmetic constraint solving, able to handle large constraint systems with extremely complex Boolean structure, involving Boolean combinations of multiple thousand arithmetic constraints over some thousands of variables.
Journal ArticleDOI

ManySAT: a Parallel SAT Solver

TL;DR: In this paper, ManySAT a new portfolio-based parallel SAT solver is thoroughly described, which benefits from the main weaknesses of modern SAT solvers: their sensitivity to parameter tuning and their lack of robustness.
Book ChapterDOI

DPLL(T): Fast Decision Procedures

TL;DR: This work proposes a new approach, namely a general DPLL(X) engine, whose parameter X can be instantiated with a specialized solver Solver T for a given theory T, thus producing a systemDPLL(T).
Journal ArticleDOI

Towards understanding and harnessing the potential of clause learning

TL;DR: The first precise characterization of clause learning as a proof system (CL) is presented, and it is shown that with a new learning scheme, CL can provide exponentially shorter proofs than many proper refinements of general resolution satisfying a natural property.
References
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Book

Computers and Intractability: A Guide to the Theory of NP-Completeness

TL;DR: The second edition of a quarterly column as discussed by the authors provides a continuing update to the list of problems (NP-complete and harder) presented by M. R. Garey and myself in our book "Computers and Intractability: A Guide to the Theory of NP-Completeness,” W. H. Freeman & Co., San Francisco, 1979.
Book

Introduction to Algorithms

TL;DR: The updated new edition of the classic Introduction to Algorithms is intended primarily for use in undergraduate or graduate courses in algorithms or data structures and presents a rich variety of algorithms and covers them in considerable depth while making their design and analysis accessible to all levels of readers.
Book

Genetic Algorithms

Journal ArticleDOI

Tabu Search—Part II

TL;DR: The elements of staged search and structured move sets are characterized, which bear on the issue of finiteness, and new dynamic strategies for managing tabu lists are introduced, allowing fuller exploitation of underlying evaluation functions.