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» Definitions by Rewriting in the Calculus of Constructions
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CORR
2006
Springer
110views Education» more  CORR 2006»
13 years 11 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
CORR
2006
Springer
135views Education» more  CORR 2006»
13 years 11 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...
FOSSACS
2001
Springer
14 years 3 months ago
The Rho Cube
The rewriting calculus, or Rho Calculus (ρCal), is a simple calculus that uniformly integrates abstraction on patterns and nondeterminism. Therefore, it fully integrates rewriting...
Horatiu Cirstea, Claude Kirchner, Luigi Liquori
ENTCS
2000
80views more  ENTCS 2000»
13 years 10 months ago
The simply typed rewriting calculus
The rewriting calculus is a rule construction and application framework. As such it embeds in a uniform way term rewriting and lambda-calculus. Since rule application is an explic...
Horatiu Cirstea, Claude Kirchner
CSL
2005
Springer
14 years 4 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