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Hierarchical Reflection

  • Luís Cruz-Filipe
  • Freek Wiedijk
Part of the Lecture Notes in Computer Science book series (LNCS, volume 3223)

Abstract

The technique of reflection is a way to automate proof construction in type theoretical proof assistants. Reflection is based on the definition of a type of syntactic expressions that gets interpreted in the domain of discourse. By allowing the interpretation function to be partial or even a relation one gets a more general method known as “partial reflection”. In this paper we show how one can take advantage of the partiality of the interpretation to uniformly define a family of tactics for equational reasoning that will work in different algebraic structures. The tactics then follow the hierarchy of those algebraic structures in a natural way.

Keywords

Normal Form Normalization Function Algebraic Structure Type Theory Function Symbol 
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 2004

Authors and Affiliations

  • Luís Cruz-Filipe
    • 1
    • 2
  • Freek Wiedijk
    • 1
  1. 1.NIIIRadboud University of Nijmegen 
  2. 2.Center for Logic and ComputationLisboa

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