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» Focusing and Polarization in Intuitionistic Logic
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LICS
2008
IEEE
13 years 11 months ago
Focusing on Binding and Computation
Variable binding is a prevalent feature of the syntax and proof theory of many logical systems. In this paper, we define a programming language that provides intrinsic support fo...
Daniel R. Licata, Noam Zeilberger, Robert Harper
CADE
2007
Springer
14 years 5 months ago
Bidirectional Decision Procedures for the Intuitionistic Propositional Modal Logic IS4
We present a multi-context focused sequent calculus whose derivations are in bijective correspondence with normal natural deductions in the propositional fragment of the intuitioni...
Samuli Heilala, Brigitte Pientka
IGPL
2011
12 years 8 months ago
Generalized ordinal sums and translations
We extend the lattice embedding of the axiomatic extensions of the positive fragment of intuitionistic logic into the axiomatic extensions of intuitionistic logic to the setting of...
Nikolaos Galatos
ISMVL
2000
IEEE
103views Hardware» more  ISMVL 2000»
13 years 8 months ago
Experiments on FPRM Expressions for Partially Symmetric Logic Functions
This paper focuses on the fixed polarity ReedMuller (FPRM) expression of multiple-valued logic (MVL) symmetric functions. In the FPRM expression, each variable occurs in exactly o...
Svetlana N. Yanushkevich, Jon T. Butler, Gerhard W...
ENTCS
2011
129views more  ENTCS 2011»
13 years 7 days ago
Specifying Proof Systems in Linear Logic with Subexponentials
In the past years, linear logic has been successfully used as a general logical framework for encoding proof systems. Due to linear logic’s finer control on structural rules, i...
Vivek Nigam, Elaine Pimentel, Giselle Reis