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» Logic of Proofs for Bounded Arithmetic
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LICS
2006
IEEE
15 years 5 months ago
Obsessional Cliques: A Semantic Characterization of Bounded Time Complexity
We give a semantic characterization of bounded complexity proofs. We introduce the notion of obsessional clique in the relational model of linear logic and show that restricting t...
Olivier Laurent, Lorenzo Tortora de Falco
CADE
2007
Springer
16 years 5 hour ago
A Sequent Calculus for Integer Arithmetic with Counterexample Generation
We introduce a calculus for handling integer arithmetic in first-order logic. The method is tailored to Java program verification and meant to be used both as a supporting procedur...
Philipp Rümmer
SIAMCOMP
2000
76views more  SIAMCOMP 2000»
14 years 11 months ago
On Interpolation and Automatization for Frege Systems
The interpolation method has been one of the main tools for proving lower bounds for propositional proof systems. Loosely speaking, if one can prove that a particular proof system ...
Maria Luisa Bonet, Toniann Pitassi, Ran Raz
AML
2011
204views Mathematics» more  AML 2011»
14 years 6 months ago
A note on propositional proof complexity of some Ramsey-type statements
Any valid Ramsey statement n −→ (k)2 2 can be encoded into a DNF formula RAM(n, k) of size O(nk) and with terms of size k 2 . Let rk be the minimal n for which the statement h...
Jan Krajícek
JANCL
2007
74views more  JANCL 2007»
14 years 11 months ago
Operations on proofs and labels
Logic of proofs LP introduced by S. Artemov in 1995 describes properties of proof predicate “t is a proof of F” in the propositional language extended by atoms of the form [[t...
Tatiana Yavorskaya, Natalia Rubtsova