Article ID Journal Published Year Pages File Type
6875649 Theoretical Computer Science 2018 23 Pages PDF
Abstract
A deterministic finite automaton (DFA) separates two strings w and x if it accepts w and rejects x. The minimum number of states required for a DFA to separate w and x is denoted by sep(w,x). The present paper shows that the difference |sep(w,x)−sep(wR,xR)| is unbounded for a binary alphabet; here wR stands for the mirror image of w. This solves an open problem stated in Demaine et al. (2011) [2].
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Physical Sciences and Engineering Computer Science Computational Theory and Mathematics
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