Multiset and K-Subset Transforming Systems

  • Taishin Yasunobu Nishida
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 2235)


We introduce K-subset transforming systems as a generalization of multiset transformation. A K-subset, which is a generalization of a multiset where “multiplicities” take values in a semiring, is considered by S. Eilenberg. We construct an example of K-subset transforming system which models a chaotic discrete dynamical system. We show that for every basic reaction of multiset transformation we can construct a K-subset transforming system which expresses the multiset transformation. We also show that for every phrase structure grammar there is a K-subset transforming system such that the system simulates derivations of the grammar.


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Copyright information

© Springer-Verlag Berlin Heidelberg 2001

Authors and Affiliations

  • Taishin Yasunobu Nishida
    • 1
  1. 1.Faculty of EngineeringToyama Prefectural UniversityToyamaJapan

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