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Reports (Research Report) Year : 2010

Simulations for a Class of Two-Dimensional Automata

Abstract

We study the notion of simulation over a class of automata which recognize 2D languages (languages of arrays of letters). This class of two-dimensional On-line Tessellation Automata (2OTA) accepts the same class of languages as the class of tiling systems, considered as the natural extension of classical regular word languages to the 2D case. We prove that simulation over 2OTA implies language inclusion. Even if the existence of a simulation relation between two 2OTA is shown to be an NP-complete problem in time, this is an important result since the inclusion problem is undecidable in general in this class of languages. Then we prove the existence in a given 2OTA of a unique maximal autosimulation relation, computable in polynomial time.
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Dates and versions

inria-00527077 , version 1 (18-10-2010)
inria-00527077 , version 2 (29-04-2011)
inria-00527077 , version 3 (23-11-2012)

Identifiers

  • HAL Id : inria-00527077 , version 3

Cite

Gérard Cécé, Alain Giorgetti. Simulations for a Class of Two-Dimensional Automata. [Research Report] RR-7425, INRIA. 2010, pp.18. ⟨inria-00527077v3⟩
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