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arxiv: 0904.2457 · v1 · pith:PK7ZOEEWnew · submitted 2009-04-16 · 💻 cs.DM · cs.LO

Subshifts, Languages and Logic

classification 💻 cs.DM cs.LO
keywords subshiftstilingsinfinitelogicpicturescharacterisecharacterizationclasses
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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, so?c subshifts).

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