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15,304
Generalizations of Matched CNF Formulas
, 2002
"... Stefan Szeider Institute of Discrete Mathematics, Austrian Academy of Sciences, Sonnenfelsgasse 19, A1010 Vienna, Austria, stefan.szeider@oeaw.ac.at Abstract A CNF formula is "matched" if its associated bipartite graph (whose vertices are clauses and variables) has a matching which c ..."
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Stefan Szeider Institute of Discrete Mathematics, Austrian Academy of Sciences, Sonnenfelsgasse 19, A1010 Vienna, Austria, stefan.szeider@oeaw.ac.at Abstract A CNF formula is "matched" if its associated bipartite graph (whose vertices are clauses and variables) has a matching which
Uunsatisfiable CNF formulas
, 2008
"... A Boolean formula in a conjunctive normal form is called a (k, s)formula if every clause contains exactly k variables and every variable occurs in at most s clauses. We show that there are unsatisfiable (k, 4 · 2k k)CNF formulas. ..."
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A Boolean formula in a conjunctive normal form is called a (k, s)formula if every clause contains exactly k variables and every variable occurs in at most s clauses. We show that there are unsatisfiable (k, 4 · 2k k)CNF formulas.
Verification of proofs of unsatisfiability for CNF formulas
"... As SATalgorithms become more and more complex, there is little chance of writing a SATsolver that is free of bugs. So it is of great importance to be able to verify the information returned by a SATsolver. If the CNF formula to be tested is satisfiable, solution verification is trivial and can be ..."
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Cited by 55 (0 self)
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As SATalgorithms become more and more complex, there is little chance of writing a SATsolver that is free of bugs. So it is of great importance to be able to verify the information returned by a SATsolver. If the CNF formula to be tested is satisfiable, solution verification is trivial and can
InclusionExclusion for kCNF Formulas
 Inf. Process. Lett
, 2002
"... We show that the number of satisfying assignments of a kCNF formula is determined uniquely from the numbers of unsatisfying assignments for clausesets of size up to k#+ 2. The information of this size is also shown to be necessary. key words: combinatorial problems; SAT; kCNF formula; counting ..."
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Cited by 2 (0 self)
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We show that the number of satisfying assignments of a kCNF formula is determined uniquely from the numbers of unsatisfying assignments for clausesets of size up to k#+ 2. The information of this size is also shown to be necessary. key words: combinatorial problems; SAT; kCNF formula
Verification of Proofs of Unsatisfiability for CNF formulas
"... As SATalgorithms become more and more complex, there is little chance of writing a SATsolver that is free of bugs. So it is of great importance to be able to verify the information returned by a SATsolver. If the CNF formula to be tested is satisfiable, solution verification is trivial and can be ..."
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As SATalgorithms become more and more complex, there is little chance of writing a SATsolver that is free of bugs. So it is of great importance to be able to verify the information returned by a SATsolver. If the CNF formula to be tested is satisfiable, solution verification is trivial and can
Clause Elimination Procedures for CNF Formulas
, 2010
"... We develop and analyze clause elimination procedures, a specific family of simplification techniques for conjunctive normal form (CNF) formulas. Extending known procedures such as tautology, subsumption, and blocked clause elimination, we introduce novel elimination procedures based on hidden and as ..."
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Cited by 17 (8 self)
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We develop and analyze clause elimination procedures, a specific family of simplification techniques for conjunctive normal form (CNF) formulas. Extending known procedures such as tautology, subsumption, and blocked clause elimination, we introduce novel elimination procedures based on hidden
Circuit Based Encoding of CNF formula
"... Abstract. In this paper a new circuit sat based encoding of boolean formula is proposed. It makes an original use of the concept of restrictive models introduced by Boufkhad to polynomially translate any formula in conjunctive normal form (CNF) to a circuit sat representation (a conjunction of gates ..."
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Abstract. In this paper a new circuit sat based encoding of boolean formula is proposed. It makes an original use of the concept of restrictive models introduced by Boufkhad to polynomially translate any formula in conjunctive normal form (CNF) to a circuit sat representation (a conjunction
Counting Satisfiable kCNF Formulas
"... We use basic combinatorial techniques to count the number of satisable boolean formulas given in conjunctive normal form. The intention is to provide information about the relative frequency of boolean functions with respect to statements of a given size. This in turn will provide information about ..."
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], and Dubois [Dub91] address kCNF formulas; Creignou and Daude [CD99] consider the XORCNF problem (where instead of literals connected by `or' the are connected by `exclusiveor'). These and others all attack the problem probabilistically. There is also much work on the performance of satisability
Resolution Methods for ManyValued CNF Formulas
, 2002
"... this paper we rst extend the DavisPutnamLoveland (DPL) procedure [13] and then binary and positive unit resolution to the setting of manyvalued CNF formulas. Moreover, we prove that the satis ability problem of manyvalued CNF formulas (ManyValued SAT) is polynomially solvable in case all the ..."
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Cited by 3 (3 self)
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this paper we rst extend the DavisPutnamLoveland (DPL) procedure [13] and then binary and positive unit resolution to the setting of manyvalued CNF formulas. Moreover, we prove that the satis ability problem of manyvalued CNF formulas (ManyValued SAT) is polynomially solvable in case all
Results 1  10
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15,304