Automata and semigroups recognizing infinite words Olivier Carton, Dominique Perrin, Jean-Eric Pin To cite this version: Olivier Carton, Dominique Perrin, Jean-Eric Pin. Automata and semigroups recognizing infi-

HAL is a multi-disciplinary open access archive for the deposit and dissemination of sci-entific research documents, whether they are pub-lished or not. The documents may come from teaching and research institutions in France or abroad, or from public or private research centers. L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et a ̀ la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des établissements d’enseignement et de recherche français ou étrangers, des laboratoires publics ou privés. Automata and semigroups recognizing infinite word