English

Inverse monoids associated with the complexity class NP

Group Theory 2017-03-08 v1

Abstract

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.

Keywords

Cite

@article{arxiv.1703.02519,
  title  = {Inverse monoids associated with the complexity class NP},
  author = {J. C. Birget},
  journal= {arXiv preprint arXiv:1703.02519},
  year   = {2017}
}

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24 pages