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Non-termination in Idempotent Semirings

  • Peter Höfner
  • Georg Struth
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 4988)

Abstract

We study and compare two notions of non-termination on idempotent semirings: infinite iteration and divergence. We determine them in various models and develop conditions for their coincidence. It turns out that divergence yields a simple and natural way of modelling infinite behaviour, whereas infinite iteration shows some anomalies.

Keywords

Homomorphic Image Galois Connection Idempotent Semirings Equational Axiomatisation Complete Semilattice 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2008

Authors and Affiliations

  • Peter Höfner
    • 1
  • Georg Struth
    • 1
  1. 1.Department of Computer ScienceUniversity of SheffieldUnited Kingdom

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