Decision problems for semi-Thue systems with a few rules

  • Authors:
  • Yuri Matiyasevich;Géraud Sénizergues

  • Affiliations:
  • Steklov Institute of Mathematics at St. Petersburg, 27 Fontanka, 191023 St. Petersburg, Russia;LaBRI and Université de Bordeaux I 351, Cours de la Libération 33405 Talence, France and Institut fü Formale Methoden der Informatik, Universitätsstraße 38, D-70569, Stutt ...

  • Venue:
  • Theoretical Computer Science - Insightful theory
  • Year:
  • 2005

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Abstract

We show that the accessibility problem, the common descendant problem, the termination problem and the uniform termination problem are undecidable for 3-rules semi-Thue systems. As a corollary we obtain the undecidability of the Post correspondence problem for 7 rules.