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» Proof Complexity of Non-classical Logics
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AML
2006
106views more  AML 2006»
13 years 5 months ago
Upper bounds on complexity of Frege proofs with limited use of certain schemata
The paper considers a commonly used axiomatization of the classical propositional logic and studies how different axiom schemata in this system contribute to proof complexity of th...
Pavel Naumov
CSL
2010
Springer
13 years 6 months ago
On Slicewise Monotone Parameterized Problems and Optimal Proof Systems for TAUT
Abstract. For a reasonable sound and complete proof calculus for firstorder logic consider the problem to decide, given a sentence of firstorder logic and a natural number n, whet...
Yijia Chen, Jörg Flum
POPL
2012
ACM
12 years 14 days ago
Recursive proofs for inductive tree data-structures
We develop logical mechanisms and decision procedures to facilitate the verification of full functional properties of inductive tree data-structures using recursion that are soun...
Parthasarathy Madhusudan, Xiaokang Qiu, Andrei Ste...
ECCC
2007
90views more  ECCC 2007»
13 years 4 months ago
Parameterized Proof Complexity: a Complexity Gap for Parameterized Tree-like Resolution
We propose a proof-theoretic approach for gaining evidence that certain parameterized problems are not fixed-parameter tractable. We consider proofs that witness that a given pro...
Stefan S. Dantchev, Barnaby Martin, Stefan Szeider
LOGCOM
2010
124views more  LOGCOM 2010»
13 years 3 months ago
Analytic Methods for the Logic of Proofs
The logic of proofs (LP) was proposed as Gödel’s missed link between Intuitionistic and S4-proofs, but so far the tableau-based methods proposed for LPhave not explored this cl...
Marcelo Finger