State Complexity of Two Combined Operations: Reversal-Catenation and Star-Catenation

Details State Complexity of Two Combined Operations: Reversal-Catenation and Star-Catenation State Complexity of Two Combined Operations: Reversal-Catenation and Star-Catenation

2010-06-23

arxiv.org/abs/1006.4646v1

Computer Science

Formal Languages and Automata Theory

20 pages, 7 figures

Scientific paper

In this paper, we show that, due to the structural properties of the resulting automaton obtained from a prior operation, the state complexity of a combined operation may not be equal but close to the mathematical composition of the state complexities of its component operations. In particular, we provide two witness combined operations: reversal combined with catenation and star combined with catenation.

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