English

A Formal Axiomatization of Computation

Computational Complexity 2020-01-22 v2 Computation and Language Logic in Computer Science

Abstract

We introduce an axiomatization for the notion of computation. Based on the idea of Brouwer choice sequences, we construct a model, denoted by EE, which satisfies our axioms and EPNPE \models \mathrm{ P \neq NP}. In other words, regarding "effective computability" in Brouwer intuitionism viewpoint, we show PNP\mathrm{ P \neq NP}.

Keywords

Cite

@article{arxiv.1907.03533,
  title  = {A Formal Axiomatization of Computation},
  author = {Rasoul Ramezanian},
  journal= {arXiv preprint arXiv:1907.03533},
  year   = {2020}
}

Comments

13 page. arXiv admin note: substantial text overlap with arXiv:1906.09873, arXiv:1205.5994

R2 v1 2026-06-23T10:14:42.089Z