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» Extensionality in the Calculus of Constructions
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CORR
2006
Springer
135views Education» more  CORR 2006»
13 years 7 months 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...
CORR
2006
Springer
110views Education» more  CORR 2006»
13 years 7 months 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
FOSSACS
2008
Springer
13 years 9 months ago
The Implicit Calculus of Constructions as a Programming Language with Dependent Types
Abstract. In this paper, we show how Miquel's Implicit Calculus of Constructions (ICC) can be used as a programming language featuring dependent types. Since this system has a...
Bruno Barras, Bruno Bernardo
CSL
2005
Springer
14 years 29 days 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
LPAR
2010
Springer
13 years 5 months ago
On Strong Normalization of the Calculus of Constructions with Type-Based Termination
Termination of recursive functions is an important property in proof assistants based on dependent type theories; it implies consistency and decidability of type checking. Type-bas...
Benjamin Grégoire, Jorge Luis Sacchini