A computational model for tiling recognizable two-dimensional languages

  • Authors:
  • Marcella Anselmo;Dora Giammarresi;Maria Madonia

  • Affiliations:
  • Dip. di Informatica ed Applicazioni, Università di Salerno, I-84084 Fisciano (SA), Italy;Dip. Matematica, Università di Roma Tor Vergata, via Ricerca Scientifica, 00133 Roma, Italy;Dip. Matematica e Informatica, Università di Catania, Viale Andrea Doria 6/a, 95125 Catania, Italy

  • Venue:
  • Theoretical Computer Science
  • Year:
  • 2009

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Abstract

Tiling systems are a well accepted model to define recognizable two-dimensional languages but they are not an effective device for recognition unless a scanning strategy for the pictures is fixed. We define a tiling automaton as a tiling system equipped with a scanning strategy and a suitable data structure. The class of languages accepted by tiling automata coincides with the REC family. In this framework it is possible to define determinism, non-determinism and unambiguity. Then (deterministic) tiling automata are compared with the other known (deterministic) automata models for two-dimensional languages.