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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 4 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 4 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
13 years 9 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 4 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
13 years 10 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