Equations in free partially commutative monoids

  • Christine Duboc
Contributed Papers

DOI: 10.1007/3-540-16078-7_76

Part of the Lecture Notes in Computer Science book series (LNCS, volume 210)
Cite this paper as:
Duboc C. (1986) Equations in free partially commutative monoids. In: Monien B., Vidal-Naquet G. (eds) STACS 86. STACS 1986. Lecture Notes in Computer Science, vol 210. Springer, Berlin, Heidelberg

Abstract

We characterize the solutions of all the equations in two unknowns in the free partially commutative monolds. We show that the solutions are basically cyclic. Afterwards, we define the transposition (t and t′ are transposed iff t=xy and t′=yx) and the conjugacy relations (t and t′ are conjugate iff tλ=λt′). We show that the conjugacy is the transitive closure of the transposition and that the set of conjugacy factors λ is a recognizable subset of the partially commutative monoid.

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Copyright information

© Springer-Verlag 1986

Authors and Affiliations

  • Christine Duboc
    • 1
  1. 1.Laboratoire d'informatiqueUniversité de RouenMont Saint AignanFrance

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