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JCSS
2008
96views more  JCSS 2008»
13 years 8 months ago
A combinatorial characterization of resolution width
We provide a characterization of the resolution width introduced in the context of propositional proof complexity in terms of the existential pebble game introduced in the context...
Albert Atserias, Víctor Dalmau
COCO
1994
Springer
100views Algorithms» more  COCO 1994»
14 years 20 days ago
Relative to a Random Oracle, NP is Not Small
Resource-bounded measure as originated by Lutz is an extension of classical measure theory which provides a probabilistic means of describing the relative sizes of complexity clas...
Steven M. Kautz, Peter Bro Miltersen
APAL
2008
84views more  APAL 2008»
13 years 8 months ago
Resolution over linear equations and multilinear proofs
We develop and study the complexity of propositional proof systems of varying strength extending resolution by allowing it to operate with disjunctions of linear equations instead ...
Ran Raz, Iddo Tzameret
STOC
2010
ACM
200views Algorithms» more  STOC 2010»
14 years 6 months ago
Hardness Amplification in Proof Complexity
We present a generic method for converting any family of unsatisfiable CNF formulas that require large resolution rank into CNF formulas whose refutation requires large rank for p...
Paul Beame, Trinh Huynh and Toniann Pitassi
JACM
2002
122views more  JACM 2002»
13 years 8 months ago
Cosmological lower bound on the circuit complexity of a small problem in logic
An exponential lower bound on the circuit complexity of deciding the weak monadic second-order theory of one successor (WS1S) is proved. Circuits are built from binary operations, ...
Larry J. Stockmeyer, Albert R. Meyer