An abstract strong normalization theorem

  • Authors:
  • Ulrich Berger

  • Affiliations:
  • University of Wales Swansea

  • Venue:
  • CSL'05 Proceedings of the 19th international conference on Computer Science Logic
  • Year:
  • 2005

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Abstract

We prove a strong normalization theorem for abstract term rewriting systems based on domain-theoretic models. The theorem applies to extensions of Gödel's system T by various forms of recursion related to bar recursion for which strong normalization was hitherto unknown.