Two-Way Finite State Transducers and Monadic Second-Order Logic

  • Authors:
  • Joost Engelfriet;Hendrik Jan Hoogeboom

  • Affiliations:
  • -;-

  • Venue:
  • ICAL '99 Proceedings of the 26th International Colloquium on Automata, Languages and Programming
  • Year:
  • 1999

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Abstract

Deterministic two-way finite state transductions are exactly the mso definable string transductions. Nondeterministic mso definable string transductions equal compositions of nondeterministic two-way finite state transductions that have the finite visit property. Both families of mso definable string transductions are characterized in terms of Hennie machines.