Sciweavers

92 search results - page 4 / 19
» The simply typed rewriting calculus
Sort
View
CSL
2005
Springer
14 years 1 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
TLCA
2007
Springer
14 years 1 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
2010
Springer
13 years 11 months ago
Higher-Order (Non-)Modularity
We show that, contrary to the situation in first-order term rewriting, almost none of the usual properties of rewriting are modular for higher-order rewriting, irrespective of the...
Claus Appel, Vincent van Oostrom, Jakob Grue Simon...
CORR
2006
Springer
99views Education» more  CORR 2006»
13 years 7 months ago
Inductive types in the Calculus of Algebraic Constructions
In a previous work, we proved that almost all of the Calculus of Inductive Constructions (CIC), the basis of the proof assistant Coq, can be seen as a Calculus of Algebraic Constru...
Frédéric Blanqui
TLCA
2007
Springer
14 years 1 months ago
Extensional Rewriting with Sums
Inspired by recent work on normalisation by evaluation for sums, we propose a normalising and confluent extensional rewriting theory for the simply-typed λ-calculus extended with...
Sam Lindley