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LICS
2008
IEEE
14 years 1 months ago
On the Asymptotic Nullstellensatz and Polynomial Calculus Proof Complexity
We show that the asymptotic complexity of uniformly generated (expressible in First-Order (FO) logic) propositional tautologies for the Nullstellensatz proof system (NS) as well a...
Søren Riis
SAT
2004
Springer
101views Hardware» more  SAT 2004»
14 years 25 days ago
Detecting Backdoor Sets with Respect to Horn and Binary Clauses
We study the parameterized complexity of detecting backdoor sets for instances of the propositional satisfiability problem (SAT) with respect to the polynomially solvable classes ...
Naomi Nishimura, Prabhakar Ragde, Stefan Szeider
ICTAI
2008
IEEE
14 years 1 months ago
Let the Solver Deal with Redundancy
Handling redundancy in propositional reasoning and search is an active path of theoretical research. For instance, the complexity of some redundancy-related problems for CNF formu...
Cédric Piette
COCO
1991
Springer
112views Algorithms» more  COCO 1991»
13 years 11 months ago
Randomized vs.Deterministic Decision Tree Complexity for Read-Once Boolean Functions
We consider the deterministic and the randomized decision tree complexities for Boolean functions, denoted DC(f) and RC(f), respectively. A major open problem is how small RC(f) ca...
Rafi Heiman, Avi Wigderson
FOSSACS
2007
Springer
14 years 1 months ago
PDL with Intersection and Converse Is 2 EXP-Complete
We study the complexity of satisfiability for the expressive extension ICPDL of PDL (Propositional Dynamic Logic), which admits intersection and converse as program operations. Ou...
Stefan Göller, Markus Lohrey, Carsten Lutz