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115
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TAMC
2010
Springer
15 years 6 months ago
Algebraic Proofs over Noncommutative Formulas
We study possible formulations of algebraic propositional proof systems operating with noncommutative formulas. We observe that a simple formulation gives rise to systems at least ...
Iddo Tzameret
81
Voted
JSYML
2008
73views more  JSYML 2008»
15 years 1 months ago
Examining fragments of the quantified propositional calculus
When restricted to proving q i formulas, the quantified propositional proof system G i is closely related to the b i theorems of Buss's theory Si 2. Namely, G i has polynomial...
Steven Perron
ENTCS
2006
113views more  ENTCS 2006»
15 years 1 months ago
Mining Propositional Simplification Proofs for Small Validating Clauses
The problem of obtaining small conflict clauses in SMT systems has received a great deal of attention recently. We report work in progress to find small subsets of the current par...
Ian Wehrman, Aaron Stump
ECCC
2007
90views more  ECCC 2007»
15 years 1 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
94
Voted
CSL
2007
Springer
15 years 8 months ago
Propositional Logic for Circuit Classes
Abstract. By introducing a parallel extension rule that is aware of independence of the introduced extension variables, a calculus for quantified propositional logic is obtained w...
Klaus Aehlig, Arnold Beckmann