Decidability, undecidability, and PSPACE-completeness of the twins property in the tropical semiring

  • Authors:
  • Daniel Kirsten

  • Affiliations:
  • -

  • Venue:
  • Theoretical Computer Science
  • Year:
  • 2012

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Abstract

We solve a problem already investigated by Mohri in 1997: we show that the twins property for weighted finite automata over the tropical semiring is decidable and PSPACE-complete. We also point out that it is undecidable whether two given states are twins.