Classifying non-periodic sequences by permutation transducers
| Autor: | Zantema, H., Bosma, W., Charlier, É., Leroy, J., Rigo, M. |
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| Přispěvatelé: | Formal System Analysis, Charlier, É., Leroy, J., Rigo, M., Centrum Wiskunde & Informatica, Amsterdam (CWI), The Netherlands |
| Jazyk: | angličtina |
| Rok vydání: | 2017 |
| Předmět: |
Hierarchy (mathematics)
010102 general mathematics Order (ring theory) 02 engineering and technology 01 natural sciences Combinatorics Permutation Transducer Simple function 0202 electrical engineering electronic engineering information engineering Software Science 020201 artificial intelligence & image processing 0101 mathematics Mathematics |
| Zdroj: | Developments in Langauge Theory"21st International Conference, DLT 2017, Liège, Belgium, August 7-11, 2017, Proceedings, 365-377 STARTPAGE=365;ENDPAGE=377;TITLE=Developments in Langauge Theory"21st International Conference, DLT 2017, Liège, Belgium, August 7-11, 2017, Proceedings Charlier, É.; Leroy, J.; Rigo, M. (ed.), Developments in Language Theory: 21st International Conference, DLT 2017, Liège, Belgium, August 7-11, 2017, Proceedings, pp. 365-377 Charlier, É.; Leroy, J.; Rigo, M. (ed.), Developments in Language Theory: 21st International Conference, DLT 2017, Liège, Belgium, August 7-11, 2017, Proceedings, 365-377. Cham : Springer International Publishing STARTPAGE=365;ENDPAGE=377;ISSN=0302-9743;TITLE=Charlier, É.; Leroy, J.; Rigo, M. (ed.), Developments in Language Theory: 21st International Conference, DLT 2017, Liège, Belgium, August 7-11, 2017, Proceedings Developments in Language Theory ISBN: 9783319628080 DLT |
| ISSN: | 0302-9743 |
| Popis: | Transducers order infinite sequences into natural classes, but permutation transducers provide a finer classification, respecting certain changes to finite segments. We investigate this hierarchy for non-periodic sequences over \(\{0,1\}\) in which the groups of 0s and 1s grow according to simple functions like polynomials. In this hierarchy we find infinite strictly ascending chains of sequences, all being equivalent with respect to ordinary transducers. |
| Databáze: | OpenAIRE |
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