### Proof complexity of circuit lower bounds

Pich, J

Thursday 29 March 2012, 16:00-16:30

Seminar Room 1, Newton Institute

#### Abstract

Techniques that could resolve P vs. NP are considerably restricted by well-known barriers in computational complexity. There are several corresponding results in logic stating that certain fragments of arithmetic are not sufficiently strong to prove that P differs from NP or some similar conjectures. We investigate possible extensions of these barriers to stronger
theories. Mainly, Razborov's conjecture about hardness of Nisan-Wigderson generators for Extended Frege systems and natural proofs in proof systems admitting feasible disjunction property pointed out by Rudich.

#### Presentation

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