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Sporadic propositional proofs

Presented by: 
S Riis [London]
Date: 
Tuesday 11th April 2006 - 15:30 to 16:00
Venue: 
INI Seminar Room 1
Abstract: 

The following feature is shared by certain weak propositional proof systems: If $\psi_n$ is a uniformly generated sequence of propositional formula, and the sequence $\psi_n$ has polynomial size proofs, then the sequence $\psi_n$ in fact has polynomial size proofs that are generated in an uniform manner . For stronger propositional proof systems (like the Frege Proof Systems) this feature might fail and sporadic proofs (that are not instances of a sequence of uniform proofs) might exist. In the talk I will argue that understanding and limiting the behaviour of these sporadic proofs could be crucial for any serious progress in Propositional Proof Complexity.

University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons