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Electronic Colloquium on Computational Complexity

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REPORTS > KEYWORD > PROOF COMPLEXITY GENERATORS:
Reports tagged with proof complexity generators:
TR04-018 | 24th January 2004
Jan Krajicek

Diagonalization in proof complexity

We study the diagonalization in the context of proof
complexity. We prove that at least one of the
following three conjectures is true:

1. There is a boolean function computable in E
that has circuit complexity $2^{\Omega(n)}$.

2. NP is not closed under the complement.

3. There is no ... more >>>


TR22-120 | 24th August 2022
Jan Krajicek

On the existence of strong proof complexity generators

Comments: 1

The working conjecture from K'04 that there is a proof complexity generator hard for all
proof systems can be equivalently formulated (for p-time generators) without a reference to proof complexity notions
as follows:
\begin{itemize}
\item There exist a p-time function $g$ extending each input by one bit such that its ... more >>>




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