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» On the Automatizability of Polynomial Calculus
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MST
2010
105views more  MST 2010»
13 years 3 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 4 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»
12 years 11 months 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 9 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 9 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