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» Polarized and focalized linear and classical proofs
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APAL
2005
97views more  APAL 2005»
13 years 5 months ago
Polarized and focalized linear and classical proofs
We give the precise correspondence between polarized linear logic and polarized classical logic. The properties of focalization and reversion of linear proofs are at the heart of ...
Olivier Laurent, Myriam Quatrini, Lorenzo Tortora ...
ENTCS
2010
105views more  ENTCS 2010»
13 years 5 months ago
From Focalization of Logic to the Logic of Focalization
Focalization property is a deep outcome of linear logic proof theory, putting to the foreground the role of polarity in logic. It resulted an important advances in various fields, ...
Michele Basaldella, Alexis Saurin, Kazushige Terui
CSL
2007
Springer
13 years 11 months ago
Focusing and Polarization in Intuitionistic Logic
A focused proof system provides a normal form to cut-free proofs that structures the application of invertible and non-invertible inference rules. The focused proof system of Andre...
Chuck Liang, Dale Miller
JAR
2010
123views more  JAR 2010»
13 years 3 months ago
A Framework for Proof Systems
Meta-logics and type systems based on intuitionistic logic are commonly used for specifying natural deduction proof systems. We shall show here that linear logic can be used as a m...
Vivek Nigam, Dale Miller
CORR
2011
Springer
194views Education» more  CORR 2011»
13 years 1 days ago
Polarized Montagovian Semantics for the Lambek-Grishin calculus
Grishin ([10]) proposed enriching the Lambek calculus with multiplicative disjunction (par) and coresiduals. Applications to linguistics were discussed by Moortgat ([15]), who spok...
Arno Bastenhof