Tree automata make ordinal theory easy

  • Authors:
  • Thierry Cachat

  • Affiliations:
  • LIAFA, CNRS UMR 7089 & Université Paris 7, France

  • Venue:
  • FSTTCS'06 Proceedings of the 26th international conference on Foundations of Software Technology and Theoretical Computer Science
  • Year:
  • 2006

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Abstract

We give a new simple proof of the decidability of the First Order Theory of $({\omega}^{{\omega}^i},+)$ and the Monadic Second Order Theory of (ωi,