English

On NFAs Where All States are Final, Initial, or Both

Computational Complexity 2009-07-03 v2 Formal Languages and Automata Theory

Abstract

We examine questions involving nondeterministic finite automata where all states are final, initial, or both initial and final. First, we prove hardness results for the nonuniversality and inequivalence problems for these NFAs. Next, we characterize the languages accepted. Finally, we discuss some state complexity problems involving such automata.

Keywords

Cite

@article{arxiv.0808.2417,
  title  = {On NFAs Where All States are Final, Initial, or Both},
  author = {Jui-Yi Kao and Narad Rampersad and Jeffrey Shallit},
  journal= {arXiv preprint arXiv:0808.2417},
  year   = {2009}
}

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submitted

R2 v1 2026-06-21T11:11:29.026Z