English

Uncountable realtime probabilistic classes

Computational Complexity 2017-05-05 v1 Formal Languages and Automata Theory

Abstract

We investigate the minimum cases for realtime probabilistic machines that can define uncountably many languages with bounded error. We show that logarithmic space is enough for realtime PTMs on unary languages. On binary case, we follow the same result for double logarithmic space, which is tight. When replacing the worktape with some limited memories, we can follow uncountable results on unary languages for two counters.

Keywords

Cite

@article{arxiv.1705.01773,
  title  = {Uncountable realtime probabilistic classes},
  author = {Maksims Dimitrijevs and Abuzer Yakaryılmaz},
  journal= {arXiv preprint arXiv:1705.01773},
  year   = {2017}
}

Comments

12 pages. Accepted to DCFS2017

R2 v1 2026-06-22T19:36:59.782Z