English

A Finitely presented group whose word problem has sampleable hard instances

Computational Complexity 2016-02-09 v1 Group Theory

Abstract

Hard instances of natural computational problems are often elusive. In this note we present an example of a natural decision problem, the word problem for a certain finitely presented group, whose hard instances are easy to find. More precisely the problem has a complexity core sampleable in linear time.

Keywords

Cite

@article{arxiv.1602.02432,
  title  = {A Finitely presented group whose word problem has sampleable hard instances},
  author = {Robert H Gilman},
  journal= {arXiv preprint arXiv:1602.02432},
  year   = {2016}
}

Comments

3 pages

R2 v1 2026-06-22T12:45:05.857Z