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Separations between propositional proof systems related to clause learning

Presented by: 
J Johannsen Ludwig-Maximilians-Universität München
Wednesday 28th March 2012 - 10:00 to 10:30
INI Seminar Room 1
Resolution trees with lemmas (RTL) are a resolution-based propositional proof system that is related to the DLL algorithm with clause learning, with its fragments RTL(k) being related to clause learning algorithms where the width of learned clauses is bounded by k.

For every k up to O(log n), an exponential separation between the proof systems RTL(k) and RTL(k+1) is shown, indicating that a minimal increase in the width of learned clauses can lead to an exponential speed-up for clause learning algorithms.
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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons