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CSL
2002
Springer
13 years 5 months ago
On the Automatizability of Resolution and Related Propositional Proof Systems
A propositional proof system is automatizable if there is an algorithm that, given a tautology, produces a proof in time polynomial in the size of its smallest proof. This notion ...
Albert Atserias, Maria Luisa Bonet
CADE
2008
Springer
14 years 5 months ago
Proof Systems for Effectively Propositional Logic
We consider proof systems for effectively propositional logic. First, we show that propositional resolution for effectively propositional logic may have exponentially longer refuta...
Andrei Voronkov, Juan Antonio Navarro Pérez
ICALP
2010
Springer
13 years 10 months ago
Mean-Payoff Games and Propositional Proofs
We associate a CNF-formula to every instance of the mean-payoff game problem in such a way that if the value of the game is non-negative the formula is satisfiable, and if the va...
Albert Atserias, Elitza N. Maneva
STACS
2010
Springer
14 years 6 days ago
On Optimal Heuristic Randomized Semidecision Procedures, with Application to Proof Complexity
The existence of a (p-)optimal propositional proof system is a major open question in (proof) complexity; many people conjecture that such systems do not exist. Kraj´ıˇcek and P...
Edward A. Hirsch, Dmitry Itsykson
SIAMCOMP
2000
76views more  SIAMCOMP 2000»
13 years 5 months ago
On Interpolation and Automatization for Frege Systems
The interpolation method has been one of the main tools for proving lower bounds for propositional proof systems. Loosely speaking, if one can prove that a particular proof system ...
Maria Luisa Bonet, Toniann Pitassi, Ran Raz