English

Computable real function F such that F is not polynomial time computable on [0,1]

Computational Complexity 2014-04-29 v1

Abstract

A computable real function F on [0,1] is constructed such that there exists an exponential time algorithm for the evaluation of the function on [0,1] on Turing machine but there does not exist any polynomial time algorithm for the evaluation of the function on [0,1] on Turing machine (moreover, it holds for any rational point on (0,1))

Cite

@article{arxiv.1404.7053,
  title  = {Computable real function F such that F is not polynomial time computable on [0,1]},
  author = {Sergey V. Yakhontov},
  journal= {arXiv preprint arXiv:1404.7053},
  year   = {2014}
}

Comments

5 pages

R2 v1 2026-06-22T04:00:39.739Z