Proving Termination by Bounded Increase

  • Jürgen Giesl
  • René Thiemann
  • Stephan Swiderski
  • Peter Schneider-Kamp
Part of the Lecture Notes in Computer Science book series (LNCS, volume 4603)


Most methods for termination analysis of term rewrite systems (TRSs) essentially try to find arguments of functions that decrease in recursive calls. However, they fail if the reason for termination is that an argument is increased in recursive calls repeatedly until it reaches a bound. In this paper, we solve that problem and show how to prove innermost termination of TRSs with bounded increase automatically.


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Copyright information

© Springer-Verlag Berlin Heidelberg 2007

Authors and Affiliations

  • Jürgen Giesl
    • 1
  • René Thiemann
    • 1
  • Stephan Swiderski
    • 1
  • Peter Schneider-Kamp
    • 1
  1. 1.LuFG Informatik 2, RWTH AachenGermany

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