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Inverse monoids associated with the complexity class NP
Journal article   Peer reviewed

Inverse monoids associated with the complexity class NP

J Birget
Semigroup forum, Vol.98(2), pp.369-397
04/15/2019
DOI: https://doi.org/10.1007/s00233-018-9990-x

Abstract

Algebra Inverse monoids Mathematics One-way functions
We study the P versus NP problem through properties of functions and monoids, continuing the work of [3]. Here we consider inverse monoids whose properties and relationships determine whether P is different from NP, or whether injective one-way functions (with respect to worst-case complexity) exist.

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