Subshifts, Languages and Logic

Published 16 Apr 2009 in cs.DM and cs.LO | (0904.2457v1)

Abstract: 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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