Formal language characterizations of P, NP, and Pspace

  • Authors:
  • Bernd Borchert

  • Affiliations:
  • Wilhelm-Schickard-Institut für Informatik, Universität Tübingen, Tübingen, Germany

  • Venue:
  • Journal of Automata, Languages and Combinatorics
  • Year:
  • 2008
  • Periodicity in tilings

    DLT'10 Proceedings of the 14th international conference on Developments in language theory

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Abstract

Based on the notions of locality and recognizability for n-dimensional languages n-dimensionally colourable 1-dimensional languages are introduced. It is shown: A language L is in NP if and only if L is n-dimensionally colourable for some n. An analogous characterization in terms of deterministic n-dimensional colourability is obtained for P. The addition of one unbounded dimension for colouring leads to a characterization of PSPACE.