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» Unsatisfiable Linear CNF Formulas Are Large and Complex
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AAAI
2008
13 years 8 months ago
Phase Transitions and Complexity of Weighted Satisfiability and Other Intractable Parameterized Problems
The study of random instances of NP complete and coNP complete problems has had much impact on our understanding of the nature of hard problems. In this work, we initiate an effor...
Yong Gao
STOC
2006
ACM
121views Algorithms» more  STOC 2006»
14 years 6 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
FROCOS
2009
Springer
13 years 9 months ago
Efficient Combination of Decision Procedures for MUS Computation
In recent years, the problem of extracting a MUS (Minimal Unsatisfiable Subformula) from an unsatisfiable CNF has received much attention. Indeed, when a Boolean formula is proved ...
Cédric Piette, Youssef Hamadi, Lakhdar Sais
STOC
2003
ACM
102views Algorithms» more  STOC 2003»
14 years 6 months ago
Some 3CNF properties are hard to test
For a Boolean formula on n variables, the associated property P is the collection of n-bit strings that satisfy . We study the query complexity of tests that distinguish (with hig...
Eli Ben-Sasson, Prahladh Harsha, Sofya Raskhodniko...
CP
2007
Springer
13 years 12 months ago
Towards Robust CNF Encodings of Cardinality Constraints
Motivated by the performance improvements made to SAT solvers in recent years, a number of different encodings of constraints into SAT have been proposed. Concrete examples are th...
João P. Marques Silva, Inês Lynce