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» Classical Linear Logic of Implications
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JSYML
2000
110views more  JSYML 2000»
13 years 7 months ago
Basic Logic: Reflection, Symmetry, Visibility
We introduce a sequent calculus B for a new logic, named basic logic. The aim of basic logic is to find a structure in the space of logics. Classical, intuitionistic, quantum and ...
Giovanni Sambin, Giulia Battilotti, Claudia Faggia...
CSL
2007
Springer
14 years 1 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
FLOPS
2004
Springer
14 years 29 days ago
Semantics of Linear Continuation-Passing in Call-by-Name
We propose a semantic framework for modelling the linear usage of continuations in typed call-by-name programming languages. On the semantic side, we introduce a construction for c...
Masahito Hasegawa
LOGCOM
2002
105views more  LOGCOM 2002»
13 years 7 months ago
Labelled Tableaux for Nonmonotonic Reasoning: Cumulative Consequence Relations
In this paper we present a labelled proof method for computing nonmonotonic consequence relations in a conditional logic setting. The method exploits the strong connection between...
Alberto Artosi, Guido Governatori, Antonino Rotolo
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