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Erschienen in:
2014 | OriginalPaper | Buchkapitel
Towards a Formally Verified Proof Assistant
verfasst von : Abhishek Anand, Vincent Rahli
Erschienen in: Interactive Theorem Proving
Verlag: Springer International Publishing
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This paper presents a formalization of Nuprl’s metatheory in Coq. It includes a nominal-style definition of the Nuprl language, its reduction rules, a coinductive computational equivalence, and a Curry-style type system where a type is defined as a
Partial Equivalence Relation
(PER) à la Allen. This type system includes Martin-Löf dependent types, a hierarchy of universes, inductive types and partial types. We then prove that the typehood rules of Nuprl are valid w.r.t. this PER semantics and hence reduce Nuprl’s consistency to Coq’s consistency.