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A two-level approach towards lean proof-checking

  • Gilles BartheEmail author
  • Mark Ruys
  • Henk Barendregt
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 1158)

Abstract

We present a simple and effective methodology for equational reasoning in proof checkers. The method is based on a two-level approach distinguishing between syntax and semantics of mathematical theories. The method is very general and can be carried out in any type system with inductive and oracle types. The potential of our two-level approach is illustrated by some examples developed in Lego.

Keywords

Type Theory Equational Theory Computer Algebra System Universal Algebra Equational Problem 
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 1996

Authors and Affiliations

  1. 1.Faculty of Mathematics and InformaticsUniversity of NijmegenThe Netherlands

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