English

On the structure of the class NP

Computational Complexity 2016-03-03 v1

Abstract

A new class UF of problems is introduced, strictly included in the class NP, which arises in the analysis of the time verifying the intermediate results of computations. The implications of the introduction of this class are considered. First of all, we prove that PNPP\not= NP and establish that it needs to consider the problem "P vs UF" instead the problem "P vs NP". Also, we determine the set-theoretical of properties of a one-way functions that used in cryptology.

Keywords

Cite

@article{arxiv.1304.1307,
  title  = {On the structure of the class NP},
  author = {Anatoly D. Plotnikov},
  journal= {arXiv preprint arXiv:1304.1307},
  year   = {2016}
}

Comments

7 pages, 7 references

R2 v1 2026-06-21T23:53:46.448Z