Jan Krajicek ; Igor C. Oliveira - Unprovability of circuit upper bounds in Cook's theory PV

lmcs:3119 - Logical Methods in Computer Science, February 3, 2017, Volume 13, Issue 1 - https://doi.org/10.23638/LMCS-13(1:4)2017
Unprovability of circuit upper bounds in Cook's theory PVArticle

Authors: Jan Krajicek ; Igor C. Oliveira

    We establish unconditionally that for every integer $k \geq 1$ there is a language $L \in \mbox{P}$ such that it is consistent with Cook's theory PV that $L \notin Size(n^k)$. Our argument is non-constructive and does not provide an explicit description of this language.


    Volume: Volume 13, Issue 1
    Published on: February 3, 2017
    Accepted on: February 3, 2017
    Submitted on: February 3, 2017
    Keywords: Mathematics - Logic,Computer Science - Computational Complexity,03F30, 68Q15,F.4.1

    2 Documents citing this article

    Consultation statistics

    This page has been seen 1547 times.
    This article's PDF has been downloaded 593 times.