English

NL Is Strictly Contained in P

Formal Languages and Automata Theory 2024-04-25 v4

Abstract

We prove that NL is strictly contained in P. We get this separation as a corollary of the following result: the set of context-free languages is not contained in NL. The reader should recall that CFL is contained in DTIME(n^3)

Cite

@article{arxiv.2304.04840,
  title  = {NL Is Strictly Contained in P},
  author = {Santiago Flum and J. Andres Montoya},
  journal= {arXiv preprint arXiv:2304.04840},
  year   = {2024}
}

Comments

There is a gap that cannot be fixed

R2 v1 2026-06-28T09:58:16.224Z