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| HAL: hal-00375816, version 1 |
| arXiv: 0904.2457 |
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| 13th International Conference on Developments in Language Theory, Stuttgart : Germany (2009) |
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| Subshifts, Languages and Logic |
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Emmanuel Jeandel 1Guillaume Theyssier 2 |
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| (2009-06-30) |
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| We study the Monadic Second Order (MSO) Hierarchy over infinite pictures, that is tilings. We give a characterization of existential MSO in terms of tilings and projections of tilings. Conversely, we characterise logic fragments corresponding to various classes of infinite pictures (subshifts of finite type, sofic subshifts). |
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| 1: | Laboratoire d'informatique Fondamentale de Marseille (LIF) |
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CNRS : UMR6166 – Université de la Méditerranée - Aix-Marseille II – Université de Provence - Aix-Marseille I |
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| 2: | Laboratoire de Mathématiques (LAMA) |
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CNRS : UMR5127 – Université de Savoie |
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| Subject | : | Computer Science/Discrete Mathematics |
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| tilings – sofic subshifts – MSO logic |
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| hal-00375816, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00375816 | |
| oai:hal.archives-ouvertes.fr:hal-00375816 | |
| From: Guillaume Theyssier | |
| Submitted on: Thursday, 16 April 2009 11:05:20 | |
| Updated on: Tuesday, 19 May 2009 15:19:11 | |
