English

Syntactic Complexity of Circular Semi-Flower Automata

Formal Languages and Automata Theory 2013-06-17 v1

Abstract

We investigate the syntactic complexity of certain types of finitely generated submonoids of a free monoid. In fact, we consider those submonoids which are accepted by circular semi-flower automata (CSFA). Here, we show that the syntactic complexity of CSFA with at most one `branch point going in' (bpi) is linear. Further, we prove that the syntactic complexity of nn-state CSFA with two bpis over a binary alphabet is 2n(n+1)2n(n+1).

Keywords

Cite

@article{arxiv.1306.3492,
  title  = {Syntactic Complexity of Circular Semi-Flower Automata},
  author = {Shubh Narayan Singh and K. V. Krishna},
  journal= {arXiv preprint arXiv:1306.3492},
  year   = {2013}
}
R2 v1 2026-06-22T00:34:08.062Z