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Sequent systems for Lewis' conditional logics

Lellmann, Bjorn; Pattinson, Dirk

Description

We present unlabelled cut-free sequent calculi for Lewis' conditional logic and extensions, in both the languages with the entrenchment connective and the strong conditional. The calculi give rise to Pspace-decision procedures, also in the language with the weak conditional. Furthermore, they are used to prove the Craig interpolation property for all the logics under consideration, and yield a Pspace-decision procedure for a recently considered hybrid version of .

CollectionsANU Research Publications
Date published: 2012
Type: Conference paper
URI: http://hdl.handle.net/1885/82995
Source: Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
DOI: 10.1007/978-3-642-33353-8_25

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