English

Automata in the Category of Glued Vector Spaces

Formal Languages and Automata Theory 2017-11-17 v1

Abstract

In this paper we adopt a category-theoretic approach to the conception of automata classes enjoying minimization by design. The main instantiation of our construction is a new class of automata that are hybrid between deterministic automata and automata weighted over a field.

Keywords

Cite

@article{arxiv.1711.06065,
  title  = {Automata in the Category of Glued Vector Spaces},
  author = {Thomas Colcombet and Daniela Petrişan},
  journal= {arXiv preprint arXiv:1711.06065},
  year   = {2017}
}

Comments

15 pages, knowledge enriched version of the MFCS 2017 proceedings paper