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» Resolution for Intuitionistic Logic
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JAR
2010
123views more  JAR 2010»
13 years 6 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
14 years 26 days 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
LFCS
2009
Springer
14 years 2 months ago
Hypersequent Systems for the Admissible Rules of Modal and Intermediate Logics
The admissible rules of a logic are those rules under which the set of theorems of the logic is closed. In a previous paper by the authors, formal systems for deriving the admissib...
Rosalie Iemhoff, George Metcalfe
CADE
1997
Springer
13 years 11 months ago
Connection-Based Proof Construction in Linear Logic
We present a matrix characterization of logical validity in the multiplicative fragment of linear logic. On this basis we develop a matrix-based proof search procedure for this fra...
Christoph Kreitz, Heiko Mantel, Jens Otten, Stepha...
ENTCS
2008
132views more  ENTCS 2008»
13 years 7 months ago
A Meta Linear Logical Framework
Logical frameworks serve as meta-languages to represent deductive systems, sometimes requiring special purpose meta logics to reason about the representations. In this work, we de...
Andrew McCreight, Carsten Schürmann