The purpose of this paper is to consider a representation of the HOL theorem-prover in the calculus of constructions with the property that consistency results from the calculus of constructions imply such results in HOL. This kind of representation is impossible using the propositions-as-types repr
Variants of the basic calculus of constructions
โ Scribed by M.W. Bunder; Jonathan P. Seldin
- Publisher
- Elsevier Science
- Year
- 2004
- Tongue
- English
- Weight
- 287 KB
- Volume
- 2
- Category
- Article
- ISSN
- 1570-8683
No coin nor oath required. For personal study only.
โฆ Synopsis
In this paper, a number of different versions of the basic calculus of constructions that have appeared in the literature are compared and the exact relationships between them are determined. The biggest differences between versions are those between the original version of Coquand and the version in early papers on the subject by Seldin. None of these results is very deep, but it seems useful to collect them in one place.
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