Normalization for the Simply-Typed Lambda-Calculus in Twelf

  • Authors:
  • Andreas Abel

  • Affiliations:
  • Institut für Informatik, Ludwig-Maximilians-Universität Oettingenstr. 67, D-80538 München, Germany

  • Venue:
  • Electronic Notes in Theoretical Computer Science (ENTCS)
  • Year:
  • 2008

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Abstract

Normalization for the simply-typed @l-calculus is proven in Twelf, an implementation of the Edinburgh Logical Framework. Since due to proof-theoretical restrictions Twelf Tait's computability method does not seem to be directly usable, a syntactical proof is adapted and formalized instead. In this case study, some boundaries of Twelf current capabilities are touched and discussed.