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» Definitions by Rewriting in the Calculus of Constructions
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TACS
1994
Springer
13 years 9 months ago
Syntactic Definitions of Undefined: On Defining the Undefined
In the A-calculus, there is a standard notion of what terms should be considered to be "undefined": the unsolvable terms. There are various equivalent characterisations o...
Zena M. Ariola, Richard Kennaway, Jan Willem Klop,...
CORR
2006
Springer
116views Education» more  CORR 2006»
13 years 5 months ago
Rewriting modulo in Deduction modulo
Abstract. We study the termination of rewriting modulo a set of equations in the Calculus of Algebraic Constructions, an extension of the Calculus of Constructions with functions a...
Frédéric Blanqui
TLCA
2007
Springer
13 years 11 months ago
Embedding Pure Type Systems in the Lambda-Pi-Calculus Modulo
The lambda-Pi-calculus allows to express proofs of minimal predicate logic. It can be extended, in a very simple way, by adding computation rules. This leads to the lambda-Pi-calcu...
Denis Cousineau 0002, Gilles Dowek
RTA
2004
Springer
13 years 10 months ago
A Type-Based Termination Criterion for Dependently-Typed Higher-Order Rewrite Systems
Several authors devised type-based termination criteria for ML-like languages allowing non-structural recursive calls. We extend these works to general rewriting and dependent type...
Frédéric Blanqui
INFORMATICALT
2000
108views more  INFORMATICALT 2000»
13 years 5 months ago
Theoretical Foundations of an Environment-Based Multiparadigm Language
The paper presents a simple programming language and rewriting system called GENS. It is based on an extension of the -calculus called E-calculus. GENS is a multiparadigm language:...
Mario Blazevic, Zoran Budimac, Mirjana Ivanovic