Sur les automates qui reconnaissent une famille de langages |
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Authors: | J C Spehner |
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Institution: | (1) FST, Université de Haute Alsace, 4, rue des Frères Lumière, 68093 Mulhouse Cédex, France |
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Abstract: | The main results about automatas and the languages they accept are easily extended to automatas which recognize a family of
languages (Li)iεI of a free monoid, that is to automatas which recognize simultaneously all the languages Li. This generalization enhances the notion of automata of type (p,r) introduced by S. Eilenberg 4].
In a similar way the notion of syntactic monoid of a family of languages extends the notion of syntactic monoid of a language.
This extension is far from being trivial since we show that every finite monoid is the syntactic monoid of a recognizable
partition of a free monoid, though this is false for the syntactic monoids of languages.
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