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JOURNALS // Intelligent systems. Theory and applications // Archive

Intelligent systems. Theory and applications, 2015 Volume 19, Issue 4, Pages 155–168 (Mi ista209)

This article is cited in 1 paper

Part 3. Mathematical models

On some Frege system

G. V. Bokov


Abstract: In this article, we consider a Frege system over the signature $\{\wedge, \vee, \lnot\}$. For this system, we prove a nontrivial lower bound to the length of proofs.

Keywords: Frege systems, length of proof, lower bounds.



© Steklov Math. Inst. of RAS, 2026