Nondeterministic Finite State Complexity

Kayleigh K. Hyde · ScholarSpace (University of Hawaii at Manoa) · 2013

We define a new measure of complexity for finite strings using nondeterministic finite automata, called nondeterministic automatic complexity and denoted AN(x). In this paper we prove some basic results for AN(x), give upper and lower bounds, estimate it for some specific strings, begin to classify types of strings with small complexities, and provide AN(x) for |x| ≤ 8.

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