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https://hdl.handle.net/1822/36665| Título: | McCammond's normal forms for free aperiodic semigroups revisited |
| Autor(es): | Almeida, Jorge Costa, José Carlos Zeitoun, Marc |
| Palavras-chave: | Pseudovariety Word problem Aperiodic semigroup Star-free language McCammond normal form Regular language |
| Data: | 2015 |
| Editora: | London Mathematical Society |
| Revista: | Lms Journal of Computation and Mathematics |
| Resumo(s): | This paper revisits the solution of the word problem for omega-terms interpreted over finite aperiodic semigroups, obtained by J. McCammond. The original proof of correctness of McCammond's algorithm, based on normal forms for such terms, uses McCammond's solution of the word problem for certain Burnside semigroups. In this paper, we establish a new, simpler, correctness proof of McCammond's algorithm, based on properties of certain regular languages associated with the normal forms. This method leads to new applications. |
| Tipo: | Artigo |
| URI: | https://hdl.handle.net/1822/36665 |
| DOI: | 10.1112/S1461157014000448 |
| ISSN: | 1461-1570 |
| Versão da editora: | The original publication is available at http://journals.cambridge.org/action/displayJournal?jid=JCM |
| Arbitragem científica: | yes |
| Acesso: | Acesso aberto |
| Aparece nas coleções: |
Ficheiros deste registo:
| Ficheiro | Descrição | Tamanho | Formato | |
|---|---|---|---|---|
| ACZ-McCammondNF.pdf | 327,46 kB | Adobe PDF | Ver/Abrir |
