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LPAR
2010
Springer
13 years 3 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
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
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
PPDP
2004
Springer
13 years 10 months ago
Characterizing strong normalization in a language with control operators
We investigate some fundamental properties of the reduction relation in the untyped term calculus derived from Curien and Herbelin’s λµµ. The original λµµ has a system of ...
Daniel J. Dougherty, Silvia Ghilezan, Pierre Lesca...
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