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Description
  • We introduce a two-dimensional variant of the restarting automaton with window size three-by-three for processing rectangular pictures. In each rewrite step such an automaton can only replace the symbol in the middle position of its window by a symbol that is smaller with respect to a fixed ordering on the tape alphabet. When restricted to one-dimensional inputs (that is, words) the deterministic variant of these ordered restarting automata only accepts regular languages, while the nondeterministic one can accept some languages that are not even context-free. We then concentrate on the deterministic two-dimensional ordered restarting automaton, showing that it is quite expressive as it can simulate the deterministic sgraffito automaton, and we present some closure and non-closure properties for the class of picture languages accepted by these automata.
  • We introduce a two-dimensional variant of the restarting automaton with window size three-by-three for processing rectangular pictures. In each rewrite step such an automaton can only replace the symbol in the middle position of its window by a symbol that is smaller with respect to a fixed ordering on the tape alphabet. When restricted to one-dimensional inputs (that is, words) the deterministic variant of these ordered restarting automata only accepts regular languages, while the nondeterministic one can accept some languages that are not even context-free. We then concentrate on the deterministic two-dimensional ordered restarting automaton, showing that it is quite expressive as it can simulate the deterministic sgraffito automaton, and we present some closure and non-closure properties for the class of picture languages accepted by these automata. (en)
Title
  • Ordered Restarting Automata for Picture Languages
  • Ordered Restarting Automata for Picture Languages (en)
skos:prefLabel
  • Ordered Restarting Automata for Picture Languages
  • Ordered Restarting Automata for Picture Languages (en)
skos:notation
  • RIV/00216208:11320/14:10290063!RIV15-GA0-11320___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(GAP103/10/0783)
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
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  • 35077
http://linked.open...ai/riv/idVysledku
  • RIV/00216208:11320/14:10290063
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • picture language; ordered rewriting; restarting automaton (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...ontrolniKodProRIV
  • [8C9A20CFD3F9]
http://linked.open...v/mistoKonaniAkce
  • Nový Smokovec, Slovakia
http://linked.open...i/riv/mistoVydani
  • Berlin
http://linked.open...i/riv/nazevZdroje
  • SOFSEM 2014: Theory and Practice of Computer Science
http://linked.open...in/vavai/riv/obor
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http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...iv/tvurceVysledku
  • Mráz, František
  • Otto, Friedrich
http://linked.open...vavai/riv/typAkce
http://linked.open...ain/vavai/riv/wos
  • 000342283300038
http://linked.open.../riv/zahajeniAkce
issn
  • 0302-9743
number of pages
http://bibframe.org/vocab/doi
  • 10.1007/978-3-319-04298-5_38
http://purl.org/ne...btex#hasPublisher
  • Springer-Verlag
https://schema.org/isbn
  • 978-3-319-04297-8
http://localhost/t...ganizacniJednotka
  • 11320
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