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Mankind has inherited the earth. But, up to now there is little hint on the meaning and the purpose of this inheritance. Science, thus far, has explained only a tiny fraction. The real issue is identified as the problem of surviving the permanently uncertain future. Technically, the problem can be called the Requirement of Permanence. All the knowledge discoveries of the past, the present, and the...
This paper is focused on the connection between the combinatorics of words and minimization of automata. The three main ingredients are the epichristoffel words, Moore automata and a variant of Hopcroft’s algorithm for their minimization. Epichristoffel words defined in [14] generalize some properties of circular sturmian words. Here we prove a factorization property and the existence of the reduction...
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