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» Proof Complexity of Non-classical Logics
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AML
2006
106views more  AML 2006»
14 years 10 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
14 years 11 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
13 years 5 months 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»
14 years 10 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»
14 years 8 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