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Ambiguity of the Multiple Interpretations on Regular Languages

Alarcón P. P., Arroyo F., Bordihn H., Mitrana V., Müller M.

Fundamenta Informaticae

2015

Vol. 138, nr 1/2

85--95

A multiple interpretation scheme is an ordered sequence of morphisms. The ordered multiple interpretation of a word is obtained by concatenating the images of that word in the given order of morphisms. The arbitrary multiple interpretation of a word is the semigroup generated by the images of that word. These interpretations are naturally extended to languages. Four types of ambiguity of multiple interpretation schemata on a language are defined: o-ambiguity, internal ambiguity, weakly external ambiguity and strongly external ambiguity. We investigate the problem of deciding whether a multiple interpretation scheme is ambiguous on regular languages.