Formal Language Characterizations of P, NP, and PSPACE

نویسنده

  • Bernd Borchert
چکیده

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

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عنوان ژورنال:
  • Journal of Automata, Languages and Combinatorics

دوره 13  شماره 

صفحات  -

تاریخ انتشار 2008