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» Focusing and Polarization in Intuitionistic Logic
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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
CADE
2009
Springer
14 years 5 months ago
Efficient Intuitionistic Theorem Proving with the Polarized Inverse Method
The inverse method is a generic proof search procedure applicable to non-classical logics satisfying cut elimination and the subformula property. In this paper we describe a genera...
Sean McLaughlin, Frank Pfenning
CIE
2006
Springer
13 years 8 months ago
LJQ: A Strongly Focused Calculus for Intuitionistic Logic
LJQ is a focused sequent calculus for intuitionistic logic, with
Roy Dyckhoff, Stéphane Lengrand
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
LICS
2003
IEEE
13 years 10 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