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arXiv · 1306.3492

Syntactic Complexity of Circular Semi-Flower Automata

Shubh Narayan Singh·K. V. Krishna
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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 $n$-state CSFA with two bpis over a binary alphabet is $2n(n+1)$.

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Shubh Narayan Singh, K. V. Krishna. 2013-06-14. Syntactic Complexity of Circular Semi-Flower Automata. https://arxiv.org/abs/1306.3492

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