English

Deciding Unambiguity and Sequentiality starting from a Finitely Ambiguous Max-Plus Automaton

Computational Complexity 2007-09-27 v1

Abstract

Finite automata with weights in the max-plus semiring are considered. The main result is: it is decidable in an effective way whether a series that is recognized by a finitely ambiguous max-plus automaton is unambiguous, or is sequential. A collection of examples is given to illustrate the hierarchy of max-plus series with respect to ambiguity.

Keywords

Cite

@article{arxiv.0709.4117,
  title  = {Deciding Unambiguity and Sequentiality starting from a Finitely Ambiguous Max-Plus Automaton},
  author = {Ines Klimann and Sylvain Lombardy and Jean Mairesse and Christophe Prieur},
  journal= {arXiv preprint arXiv:0709.4117},
  year   = {2007}
}
R2 v1 2026-06-21T09:22:06.405Z