Fine hierarchy of regular aperiodic ω-languages

  • Authors:
  • Victor L. Selivanov

  • Affiliations:
  • A.P. Ershov Institute of Informatics Systems, Siberian Division Russian Academy of Sciences and Theoretische Informatik, Universität Würzburg

  • Venue:
  • DLT'07 Proceedings of the 11th international conference on Developments in language theory
  • Year:
  • 2007

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Abstract

We develop a theory of regular aperiodic ω-languages in parallel with the theory around the Wagner hierarchy. In particular, we characterize the Wadge degrees of regular aperiodic ω-languages, find an effective version of the Wadge reducibility adequate for this class of languages and prove "aperiodic analogs" of the Büchi-Landweber determinacy theorem and of Landweber's description of regular open and regular Gδ sets.