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State Complexity and the Monoid of Transformations of a Finite Set

Bryan Krawetz·John Lawrence·Jeffery Shallit
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Abstract

In this paper we consider the state complexity of an operation on formal languages, root(L). This naturally entails the discussion of the monoid of transformations of a finite set. We obtain good upper and lower bounds on the state complexity of root(L) over alphabets of all sizes.

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Bryan Krawetz, John Lawrence, Jeffery Shallit. 2003-12-09. State Complexity and the Monoid of Transformations of a Finite Set. https://arxiv.org/abs/math/0306416

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