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» Resolution for Intuitionistic Logic
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JAR
2010
123views more  JAR 2010»
14 years 8 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
15 years 2 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
LFCS
2009
Springer
15 years 4 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
15 years 1 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...
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ENTCS
2008
132views more  ENTCS 2008»
14 years 9 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