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Summary: Type Structures and
Normalization by Evaluation for System F
Andreas Abel
Department of Computer Science
Ludwig-Maximilians-University Munich
Computer Science Logic (CSL'09)
Coimbra, Portugal
8 September 2009
Andreas Abel (LMU Munich) NbE for System F
CSL'09 1 / 21
Introduction
Normalizers appear in compilers (e.g., type-directed partial
evaluation [Danvy,Filinski])
and HOL theorem provers (Isabelle, Coq, Agda).
Normalization by evaluation is a framework to turn an
evaluator for closed expressions (stop at lambda) into a
normalizer for open expressions (go under lambda).
Has clear semantic foundations.
Is strong for extensional normalization (eta).
My goal: NbE for Calculus of Constructions and Coq.
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