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» Focusing and Polarization in Intuitionistic Logic
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CSL
2007
Springer
13 years 10 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 2 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 9 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