Logical strength of complexity theory and a formalization of the PCP theorem in bounded arithmetic

Ján Pich

doi:10.2168/LMCS-11(2:8)2015

Ján Pich - Logical strength of complexity theory and a formalization of the PCP theorem in bounded arithmetic

lmcs:1568 - Logical Methods in Computer Science, June 16, 2015, Volume 11, Issue 2 - https://doi.org/10.2168/LMCS-11(2:8)2015

Logical strength of complexity theory and a formalization of the PCP theorem in bounded arithmeticArticle

Authors: Ján Pich

We present several known formalizations of theorems from computational complexity in bounded arithmetic and formalize the PCP theorem in the theory PV1 (no formalization of this theorem was known). This includes a formalization of the existence and of some properties of the (n,d,{\lambda})-graphs in PV1.

https://doi.org/10.2168/LMCS-11(2:8)2015

Source: arXiv.org:1412.3246

Volume: Volume 11, Issue 2

Published on: June 16, 2015

Submitted on: June 29, 2014

Keywords: Mathematics - Logic,Computer Science - Computational Complexity

Licence: arXiv.org - Non-exclusive license to distribute

Classifications

Mathematics Subject Classification 2020¹

Sources:

[1] zbMATH Open.

Bibliographic References

33 Documents citing this article

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Moritz Müller;Ján Pich, 2019, Feasibly constructive proofs of succinct weak circuit lower bounds, Annals of Pure and Applied Logic, 171, 2, pp. 102735, 10.1016/j.apal.2019.102735, https://doi.org/10.1016/j.apal.2019.102735.

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