Hybrid Distributions of Strings

نویسنده

  • James Rogers
چکیده

Strictly Local Stringsets Membership in a Strictly 2-Local (SL2) stringset (McNaughton and Papert 1971) is determined by the initial symbol, by the pairs of symbols that occur in the string and by the final symbol (independently). Thus they can be specified by giving a set of pairs of symbols drawn from the alphabet augmented by a start and an end marker. The members of the stringset are all and only those in which all substrings of length two (the 2-factors of the string) are licensed by this set of pairs. Similarly, the stringset can be specified by the set of unlicensed pairs, its set of forbidden factors. These stringsets can be characterized by Myhill graphs (Myhill 1957; Lawson 2004), a restricted form of Finite State Automata (FSA) in which the state set is the alphabet plus the endmarkers and there is an edge from one state to another iff they form a licensed pair.

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تاریخ انتشار 2014