Consistency of circuit lower bounds with bounded theories

Proving that there are problems in $\mathsf{P}^\mathsf{NP}$ that require boolean circuits of super-linear size is a major frontier in complexity theory. While such lower bounds are known for larger complexity classes, existing results only show that the corresponding problems are hard on infinitely...

Full description

Bibliographic Details
Main Authors: Jan Bydzovsky, Jan Krajicek, Igor C. Oliveira
Format: Article
Language:English
Published: Logical Methods in Computer Science e.V. 2020-06-01
Series:Logical Methods in Computer Science
Subjects:
Online Access:https://lmcs.episciences.org/5578/pdf