Verified Representations of Landau's "Grundlagen" in the lambda-delta Family and in the Calculus of Constructions
Keywords:Grundlagen der Analysis, Automath, pure type system, unified binders
AbstractLandau's "Grundlagen der Analysis" formalized in the language Aut-QE, represents an early milestone in computer-checked mathematics and is the only non-trivial development finalized in the languages of the Automath family. Here we discuss an implemented procedure producing a faithful representation of the Grundlagen in the Calculus of Constructions, verified by the proof assistant Coq 8.4.3. The point at issue is distinguishing lambda-abstractions from pi-abstractions where the original text uses Automath unified binders, taking care of the cases in which a binder corresponds to both abstractions at one time. It is a fact that some binders can be disambiguated only by verifying the Grundlagen in a calculus accepting Aut-QE and the Calculus of Constructions. To this end, we rely on lambda-delta version 3, a system that the author is proposing here for the first time.
How to Cite
Guidi, F. (2015). Verified Representations of Landau’s "Grundlagen" in the lambda-delta Family and in the Calculus of Constructions. Journal of Formalized Reasoning, 8(1), 93–116. https://doi.org/10.6092/issn.1972-5787/4716