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CIE
2010
Springer
13 years 6 months ago
The Limits of Tractability in Resolution-Based Propositional Proof Systems
We study classes of propositional contradictions based on the Least Number Principle (LNP) in the refutation system of Resolution and its generalisations with bounded conjunction, ...
Stefan S. Dantchev, Barnaby Martin
AML
2006
106views more  AML 2006»
13 years 4 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
IJCAI
2007
13 years 6 months ago
Tractable Temporal Reasoning
Temporal reasoning is widely used within both Computer Science and A.I. However, the underlying complexity of temporal proof in discrete temporal logics has led to the use of simp...
Clare Dixon, Michael Fisher, Boris Konev
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
RTA
2010
Springer
13 years 8 months ago
A Proof Calculus Which Reduces Syntactic Bureaucracy
In usual proof systems, like the sequent calculus, only a very limited way of combining proofs is available through the tree structure. We present in this paper a logicindependent ...
Alessio Guglielmi, Tom Gundersen, Michel Parigot