English

Two theorems about the P versus NP problem

Computational Complexity 2018-05-09 v1 Logic

Abstract

Two theorems about the P versus NP problem be proved in this article (1) There exists a language LL, that the statement LPL \in \textbf{P} is independent of ZFC. (2) There exists a language LNPL \in \textbf{NP}, for any polynomial time deterministic Turing machine MM, we cannot prove LL is decidable on MM.

Cite

@article{arxiv.1805.01755,
  title  = {Two theorems about the P versus NP problem},
  author = {Tianheng Tsui},
  journal= {arXiv preprint arXiv:1805.01755},
  year   = {2018}
}
R2 v1 2026-06-23T01:45:12.607Z