Two-dimensional sgraffito automata

  • Authors:
  • Daniel Průša;František Mráz

  • Affiliations:
  • Faculty of Electrical Engineering, Czech Technical University, Prague 2, Czech Republic;Faculty of Mathematics and Physics, Charles University, Prague 1, Czech Republic

  • Venue:
  • DLT'12 Proceedings of the 16th international conference on Developments in Language Theory
  • Year:
  • 2012

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Abstract

We present a new model of a two-dimensional computing device called sgraffito automaton and demonstrate its significance. In general, the model is simple, allows a clear design of important computations and defines families exhibiting good properties. It does not exceed the power of finite-state automata when working over one-dimensional inputs. On the other hand, it induces a family of picture languages that strictly includes REC and the deterministic variant recognizes languages in DREC as well as those accepted by four-way automata.