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» On the Automatizability of Polynomial Calculus
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MST
2010
105views more  MST 2010»
13 years 4 months ago
On the Automatizability of Polynomial Calculus
Abstract We prove that Polynomial Calculus and Polynomial Calculus with Resolution are not automatizable, unless W[P]-hard problems are fixed parameter tractable by one-side error...
Nicola Galesi, Massimo Lauria
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
CC
2010
Springer
112views System Software» more  CC 2010»
13 years 4 days ago
Random Cnf's are Hard for the Polynomial Calculus
We show a general reduction that derives lower bounds on degrees of polynomial calculus proofs of tautologies over any field of characteristic other than 2 from lower bounds for r...
Eli Ben-Sasson, Russell Impagliazzo
TABLEAUX
1999
Springer
13 years 10 months ago
The Non-Associative Lambek Calculus with Product in Polynomial Time
We prove, by introducing a new kind of sequent calculus, that the decision problem for the non-associative Lambek calculus with product belongs to PTIME. This solves an open prolem...
Philippe de Groote
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