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Labelled tree sequents, Tree hypersequents and Nested (Deep) Sequents

Gore, Rajeev; Ramanayake, Revantha

Description

We identify a subclass of labelled sequents called "labelled tree sequents" and show that these are notational variants of tree-hypersequents in the sense that a sequent of one type can be represented naturally as a sequent of the other type. This relationship can be extended to nested (deep) sequents using the relationship between tree-hypersequents and nested (deep) sequents, which we also show. We apply this result to transfer proof-theoretic results such as syntactic cut-admissibility...[Show more]

CollectionsANU Research Publications
Date published: 2012
Type: Conference paper
URI: http://hdl.handle.net/1885/65000
Source: Proceedings of the Advances in Modal Logic Conference (AiML 2012)

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