The myhill-nerode theorem for recognizable tree series

  • Authors:
  • Björn Borchardt

  • Affiliations:
  • Dresden University of Technology, Faculty of Computer Science, Dresden

  • Venue:
  • DLT'03 Proceedings of the 7th international conference on Developments in language theory
  • Year:
  • 2003

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Abstract

In this paper we prove a Myhill-Nerode theorem for recognizable tree series over commutative semifields and thereby present a minimization of bottom-up finite state weighted tree automata over a commutative semifield, where minimal means with respect to the number of states among all equivalent, deterministic devices.