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» The Implicit Calculus of Constructions
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TAPSOFT
1987
Springer
15 years 4 months ago
Induction Principles Formalized in the Calculus of Constructions
The Calculus of Constructions is a higher-order formalism for writing constructive proofs in a natural deduction style, inspired from work of de Bruijn [2, 3], Girard [12], Martin...
Gérard P. Huet
80
Voted
CSL
2007
Springer
15 years 7 months ago
Classical Program Extraction in the Calculus of Constructions
We show how to extract classical programs expressed in Krivine λc-calculus from proof-terms built in a proof-irrelevant and classical version of the calculus of constructions with...
Alexandre Miquel
120
Voted
CORR
2006
Springer
135views Education» more  CORR 2006»
15 years 25 days ago
The Calculus of Algebraic Constructions
: This paper is concerned with the foundations of the Calculus of Algebraic Constructions (CAC), an extension of the Calculus of Constructions by inductive data types. CAC generali...
Frédéric Blanqui, Jean-Pierre Jouann...
116
Voted
CORR
2006
Springer
110views Education» more  CORR 2006»
15 years 25 days ago
Definitions by Rewriting in the Calculus of Constructions
Abstract : The main novelty of this paper is to consider an extension of the Calculus of Constructions where predicates can be defined with a general form of rewrite rules. We prov...
Frédéric Blanqui
123
Voted
CSL
2005
Springer
15 years 6 months ago
Decidability of Type-Checking in the Calculus of Algebraic Constructions with Size Annotations
Since Val Tannen's pioneering work on the combination of simply-typed λ-calculus and rst-order rewriting [11], many authors have contributed to this subject by extending it ...
Frédéric Blanqui