The Calculus of Constructions (CoC) is a type theory created by Thierry Coquand. It can serve as both a typed programming language and asâ€¦Â (More)

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2005

2005

- Nicolas Oury
- TPHOLs
- 2005

This paper presents a method to translate a proof in an extensional version of the Calculus of Constructions into a proof in theâ€¦Â (More)

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2003

2003

- Gang Chen
- POPL
- 2003

We present a coercive subtyping system for the calculus of constructions. The proposed system λ<i>C</i><sup><i>CO</i></supâ€¦Â (More)

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2001

2001

- Alexandre Miquel
- TLCA
- 2001

In this paper, we introduce a new type system, the Implicit Calculus of Constructions, which is a Curry-style variant of theâ€¦Â (More)

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Highly Cited

2001

Highly Cited

2001

- FrÃ©dÃ©ric Blanqui
- LICS
- 2001

The main novelty of this paper is to consider an extension of the Calculus of Constructions where predicates can be defined withâ€¦Â (More)

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1999

1999

This paper is concerned with the foundations of the Calculus of Algebraic Constructions (CAC), an extension of the Calculus ofâ€¦Â (More)

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Highly Cited

1991

Highly Cited

1991

- Frank Pfenning
- LICS
- 1991

We present algorithms for unification and antiunification in the Calculus of Constructions, where occurrences of free variablesâ€¦Â (More)

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Highly Cited

1990

Highly Cited

1990

- Zhaohui Luo
- 1990

This thesis presents and studies a unifying theory of dependent types ECC | Extended Calculus of Constructions. ECC integratesâ€¦Â (More)

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Highly Cited

1989

Highly Cited

1989

- Christine Paulin-Mohring
- POPL
- 1989

We define in this paper a notion of realizability for the Calculus of Constructions. The extracted programs are terms of theâ€¦Â (More)

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Highly Cited

1989

Highly Cited

1989

- Zhaohui Luo
- LICS
- 1989

We present a higher-order calculus ECC which can be seen as an extension of the calculus of constructions CH88] by adding strongâ€¦Â (More)

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Highly Cited

1988