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IPL
2007
99views more  IPL 2007»
13 years 4 months ago
Substitutions into propositional tautologies
We prove that there is a polynomial time substitution (y1, . . . , yn) := g(x1, . . . , xk) with k << n such that whenever the substitution instance A(g(x1, . . . , xk)) of ...
Jan Krajícek
LFCS
2009
Springer
13 years 11 months ago
Quantitative Comparison of Intuitionistic and Classical Logics - Full Propositional System
Abstract. We address the problem of quantitative comparison of classical and intuitionistic logics within the language of the full propositional system. We apply two different app...
Antoine Genitrini, Jakub Kozik
SAT
2009
Springer
153views Hardware» more  SAT 2009»
13 years 11 months ago
Does Advice Help to Prove Propositional Tautologies?
One of the starting points of propositional proof complexity is the seminal paper by Cook and Reckhow [6], where they defined propositional proof systems as poly-time computable f...
Olaf Beyersdorff, Sebastian Müller
FSTTCS
2010
Springer
13 years 2 months ago
On extracting computations from propositional proofs (a survey)
This paper describes a project that aims at showing that propositional proofs of certain tautologies in weak proof system give upper bounds on the computational complexity of func...
Pavel Pudlák
ISMVL
1994
IEEE
124views Hardware» more  ISMVL 1994»
13 years 8 months ago
Approximating Propositional Calculi by Finite-Valued Logics
The problem of approximating a propositional calculus is to nd many-valued logics which are sound for the calculus (i.e., all theorems of the calculus are tautologies) with as few...
Matthias Baaz, Richard Zach