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TLCA
2001
Springer
14 years 3 months ago
Strong Normalisation for a Gentzen-like Cut-Elimination Procedure
In this paper we introduce a cut-elimination procedure for classical logic, which is both strongly normalising and consisting of local proof transformations. Traditional cut-elimin...
Christian Urban
TLCA
2001
Springer
14 years 3 months ago
Many Happy Returns
Olivier Danvy
TLCA
2001
Springer
14 years 3 months ago
Subtyping Recursive Games
Using methods drawn from Game Semantics, we build a sound and computationally adequate model of a simple calculus that includes both subtyping and recursive types. Our model solves...
Juliusz Chroboczek
TLCA
2001
Springer
14 years 3 months ago
Logical Properties of Name Restriction
We extend the modal logic of ambients described in [7] to the full ambient calculus, including name restriction. We introduce logical operators that can be used to make assertions ...
Luca Cardelli, Andrew D. Gordon
TLCA
2001
Springer
14 years 3 months ago
Strong Normalization of Classical Natural Deduction with Disjunction
We introduce λµ→∧∨⊥ , an extension of Parigot’s λµ-calculus where disjunction is taken as a primitive. The associated reduction relation, which includes the permutati...
Philippe de Groote
TLCA
2001
Springer
14 years 3 months ago
The Implicit Calculus of Constructions
In this paper, we introduce a new type system, the Implicit Calculus of Constructions, which is a Curry-style variant of the Calculus of Constructions that we extend by adding an i...
Alexandre Miquel