Maximal Termination

  • Authors:
  • Carsten Fuhs;Jürgen Giesl;Aart Middeldorp;Peter Schneider-Kamp;René Thiemann;Harald Zankl

  • Affiliations:
  • LuFG Informatik 2, RWTH Aachen University, Germany;LuFG Informatik 2, RWTH Aachen University, Germany;Institute of Computer Science, University of Innsbruck, Austria;LuFG Informatik 2, RWTH Aachen University, Germany;Institute of Computer Science, University of Innsbruck, Austria;Institute of Computer Science, University of Innsbruck, Austria

  • Venue:
  • RTA '08 Proceedings of the 19th international conference on Rewriting Techniques and Applications
  • Year:
  • 2008

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Abstract

We present a new approach for termination proofs that uses polynomial interpretations (with possibly negative coefficients) together with the "maximum" function. To obtain a powerful automatic method, we solve two main challenges: (1) We show how to adapt the latest developments in the dependency pair framework to our setting. (2) We show how to automate the search for such interpretations by integrating " max " into recent SAT-based methods for polynomial interpretations. Experimental results support our approach.