Mathematics – Group Theory
Scientific paper
2003-06-29
Mathematics
Group Theory
Added discussion of prior work. Generalized results to both even and odd cases. Corrected mistakes
Scientific paper
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.
Krawetz Bryan
Lawrence Joseph
Shallit Jeffery
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