A Simple Take on Typed Abstract Syntax in Haskell-like Languages

Olivier Danvy
Morten Rhiger

December 2000

Abstract:

We present a simple way to program typed abstract syntax in a language following a Hindley-Milner typing discipline, such as ML and Haskell, and we apply it to automate two proofs about normalization functions as embodied in type-directed partial evaluation for the simply typed lambda calculus: (1) normalization functions preserve types and (2) they yield long beta-eta normal forms

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