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FOCS
1999
IEEE
13 years 9 months ago
A Study of Proof Search Algorithms for Resolution and Polynomial Calculus
This paper is concerned with the complexity of proofs and of searching for proofs in two propositional proof systems: Resolution and Polynomial Calculus (PC). For the former syste...
Maria Luisa Bonet, Nicola Galesi
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
TAMC
2010
Springer
13 years 10 months ago
Algebraic Proofs over Noncommutative Formulas
We study possible formulations of algebraic propositional proof systems operating with noncommutative formulas. We observe that a simple formulation gives rise to systems at least ...
Iddo Tzameret
COLING
2000
13 years 6 months ago
Generation, Lambek Calculus, Montague's Semantics and Semantic Proof Nets
Most of the studies in the framework of Lambek calculus have considered the parsing process and ignored the generation process. This paper wants to rely on the close link between ...
Sylvain Pogodalla
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