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A Proof of Finite Family Developments for Higher-Order Rewriting Using a Prefix Property

  • H. J. Sander Bruggink
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 4098)

Abstract

A prefix property is the property that, given a reduction, the ancestor of a prefix of the target is a prefix of the source. In this paper we prove a prefix property for the class of Higher-Order Rewriting Systems with patterns (HRSs), by reducing it to a similar prefix property of a λ-calculus with explicit substitutions. This prefix property is then used to prove that Higher-order Rewriting Systems enjoy Finite Family Developments. This property states, that reductions in which the creation depth of the redexes is bounded are finite, and is a useful tool to prove various properties of HRSs.

Keywords

Local Pattern Free Variable Function Symbol Reduction Rule Object Variable 
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 2006

Authors and Affiliations

  • H. J. Sander Bruggink
    • 1
  1. 1.Department of PhilosophyUtrecht University 

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