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» Classical Linear Logic of Implications
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JSYML
2000
110views more  JSYML 2000»
15 years 5 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
15 years 12 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
15 years 11 months 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»
15 years 5 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»
15 years 4 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