Embedding finite and infinite words into overlapping tiles

Anne Dicky 1 David Janin 2, 1
2 PoSET - Models for a Structured Programming of Space and Time
LaBRI - Laboratoire Bordelais de Recherche en Informatique, SCRIME - Studio de Création et de Recherche en Informatique et Musique Électroacoustique, Inria Bordeaux - Sud-Ouest
Abstract : In this paper, we study languages of finite and infinite birooted words. We show how the embedding of free ω-semigroups of finite and infinite words into the monoid of birooted words can be generalized to the embedding of two-sorted ω-semigroups into (some notion of) one- sorted ordered ω-monoids. This leads to an algebraic characterization of regular languages of finite and infinite birooted words that generalizes and unifies the known algebraic characterizations of regular languages of finite and infinite words.
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Anne Dicky, David Janin. Embedding finite and infinite words into overlapping tiles. Developments in Language Theory (DLT), Aug 2014, Ekaterinburg, Russia. pp.339-347, ⟨10.1007/978-3-319-09698-8_30⟩. ⟨hal-00910002v2⟩

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