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CP
2000
Springer
13 years 8 months ago
Algebraic Simplification Techniques for Propositional Satisfiability
The ability to reduce either the number of variables or clauses in instances of the Satisfiability problem (SAT) impacts the expected computational effort of solving a given instan...
João P. Marques Silva
ECAI
2006
Springer
13 years 8 months ago
A Solver for QBFs in Nonprenex Form
Various problems in AI can be solved by translating them into a quantified boolean formula (QBF) and evaluating the resulting encoding. In this approach, a QBF solver is used as a ...
Uwe Egly, Martina Seidl, Stefan Woltran
ISMVL
2000
IEEE
134views Hardware» more  ISMVL 2000»
13 years 9 months ago
The 2-SAT Problem of Regular Signed CNF Formulas
Signed conjunctive normal form (signed CNF) is a classical conjunctive clause form using a generalized notion of literal, called signed atom. A signed atom is an expression of the...
Bernhard Beckert, Reiner Hähnle, Felip Many&a...
SAT
2004
Springer
109views Hardware» more  SAT 2004»
13 years 9 months ago
Resolve and Expand
We present a novel expansion based decision procedure for quantified boolean formulas (QBF) in conjunctive normal form (CNF). The basic idea is to resolve existentially quantifie...
Armin Biere
SAT
2005
Springer
124views Hardware» more  SAT 2005»
13 years 10 months ago
An Improved Upper Bound for SAT
We give a randomized algorithm for testing satisfiability of Boolean formulas in conjunctive normal form with no restriction on clause length. Its running time is at most 2n(1−1...
Evgeny Dantsin, Alexander Wolpert
CP
2005
Springer
13 years 10 months ago
Towards an Optimal CNF Encoding of Boolean Cardinality Constraints
We consider the problem of encoding Boolean cardinality constraints in conjunctive normal form (CNF). Boolean cardinality constraints are formulae expressing that at most (resp. at...
Carsten Sinz
SAT
2009
Springer
94views Hardware» more  SAT 2009»
13 years 11 months ago
Solving SAT for CNF Formulas with a One-Sided Restriction on Variable Occurrences
In this paper we consider the class of boolean formulas in Conjunctive Normal Form (CNF) where for each variable all but at most d occurrences are either positive or negative. This...
Daniel Johannsen, Igor Razgon, Magnus Wahlströ...
ICTAI
2009
IEEE
13 years 11 months ago
Local Autarkies Searching for the Dynamic Partition of CNF Formulae
In this paper an original dynamic partition of formulae in Conjunctive Normal Form (CNF) is presented. It is based on the autarky concept first introduced by Monien and Speckenme...
Éric Grégoire, Bertrand Mazure, Lakh...
DDECS
2009
IEEE
128views Hardware» more  DDECS 2009»
13 years 11 months ago
A fast untestability proof for SAT-based ATPG
—Automatic Test Pattern Generation (ATPG) based on Boolean satisfiability (SAT) has been shown to be a beneficial complement to traditional ATPG techniques. Boolean solvers wor...
Daniel Tille, Rolf Drechsler
STOC
2006
ACM
121views Algorithms» more  STOC 2006»
14 years 4 months ago
Narrow proofs may be spacious: separating space and width in resolution
The width of a resolution proof is the maximal number of literals in any clause of the proof. The space of a proof is the maximal number of clauses kept in memory simultaneously if...
Jakob Nordström