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» Proof and refutation in MALL as a game
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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
JCSS
2008
96views more  JCSS 2008»
13 years 5 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
APAL
2008
84views more  APAL 2008»
13 years 5 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
CSL
2007
Springer
13 years 11 months ago
From Proofs to Focused Proofs: A Modular Proof of Focalization in Linear Logic
Abstract. Probably the most significant result concerning cut-free sequent calculus proofs in linear logic is the completeness of focused proofs. This completeness theorem has a n...
Dale Miller, Alexis Saurin
CSL
2007
Springer
13 years 11 months ago
Game Characterizations and the PSPACE-Completeness of Tree Resolution Space
The Prover/Delayer game is a combinatorial game that can be used to prove upper and lower bounds on the size of Tree Resolution proofs, and also perfectly characterizes the space ...
Alexander Hertel, Alasdair Urquhart