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ACS
2005
13 years 10 months ago
Relating Categorical Semantics for Intuitionistic Linear Logic
There are several kinds of linear typed calculus in the literature, some with their associated notion of categorical model. Our aim in this paper is to systematise the relationshi...
Maria Emilia Maietti, Paola Maneggia, Valeria de P...
ENTCS
2006
153views more  ENTCS 2006»
13 years 10 months ago
Parametric Domain-theoretic Models of Polymorphic Intuitionistic / Linear Lambda Calculus
We present a formalization of a version of Abadi and Plotkin's logic for parametricity for a polymorphic dual intuitionistic / linear type theory with fixed points, and show,...
Lars Birkedal, Rasmus Ejlers Møgelberg, Ras...
BSL
2004
100views more  BSL 2004»
13 years 10 months ago
Forcing in proof theory
Paul Cohen's method of forcing, together with Saul Kripke's related semantics for modal and intuitionistic logic, has had profound effects on a number of branches of mat...
Jeremy Avigad
LICS
2003
IEEE
14 years 4 months ago
About Translations of Classical Logic into Polarized Linear Logic
We show that the decomposition of Intuitionistic Logic into Linear Logic along the equation ´ may be adapted into a decomposition of classical logic into LLP, the polarized versi...
Olivier Laurent, Laurent Regnier
CSL
1997
Springer
14 years 3 months ago
From Action Calculi to Linear Logic
Abstract. Milner introduced action calculi as a framework for investigating models of interactive behaviour. We present a type-theoretic account of action calculi using the proposi...
Andrew Barber, Philippa Gardner, Masahito Hasegawa...