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TAMC
2010
Springer
14 years 2 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
COCO
2010
Springer
129views Algorithms» more  COCO 2010»
14 years 1 months ago
On the Relative Strength of Pebbling and Resolution
The last decade has seen a revival of interest in pebble games in the context of proof complexity. Pebbling has proven to be a useful tool for studying resolution-based proof syst...
Jakob Nordström
MST
2010
105views more  MST 2010»
13 years 8 months ago
On the Automatizability of Polynomial Calculus
Abstract We prove that Polynomial Calculus and Polynomial Calculus with Resolution are not automatizable, unless W[P]-hard problems are fixed parameter tractable by one-side error...
Nicola Galesi, Massimo Lauria
CSL
2007
Springer
14 years 4 months ago
Game Characterizations and the PSPACE-Completeness of Tree Resolution Space
The Prover/Delayer game is a combinatorial game that can be used to prove upper and lower bounds on the size of Tree Resolution proofs, and also perfectly characterizes the space ...
Alexander Hertel, Alasdair Urquhart
CORR
2002
Springer
111views Education» more  CORR 2002»
13 years 9 months ago
The Fastest and Shortest Algorithm for All Well-Defined Problems
An algorithm M is described that solves any well-defined problem p as quickly as the fastest algorithm computing a solution to p, save for a factor of 5 and loworder additive term...
Marcus Hutter