Weakly Unambiguous Morphisms with Respect to Sets of Patterns with Constants

  • Aleksi Saarela
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 8079)


A non-erasing morphism is weakly unambiguous with respect to a pattern if no other non-erasing morphism maps the pattern to the same image. If the size of the target alphabet is at least three, then the patterns for which there exists a length-increasing weakly unambiguous morphism can be characterized using the concept of loyal neighbors of variables. In this article this characterization is generalized for patterns with constants. Two different generalizations are given for sets of patterns.


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Copyright information

© Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  • Aleksi Saarela
    • 1
  1. 1.Department of Mathematics and StatisticsUniversity of TurkuTurkuFinland

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