English

State complexity of catenation combined with boolean operations

Formal Languages and Automata Theory 2017-07-12 v1

Abstract

We exhaustively investigate possible combinations of a boolean operation together with a catenation. In many cases we prove and improve some conjectures by Brzozowski. For each family of operation, we endeavour to provide a common witness with a small size alphabet.

Cite

@article{arxiv.1707.03174,
  title  = {State complexity of catenation combined with boolean operations},
  author = {Pascal Caron and Jean-Gabriel Luque and Bruno Patrou},
  journal= {arXiv preprint arXiv:1707.03174},
  year   = {2017}
}

Comments

20 pages, 11 Figures

R2 v1 2026-06-22T20:43:18.399Z