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Hypersequents and Systems of Rules

Hypersequents and Systems of Rules We define a bi-directional embedding between hypersequent calculi and a subclass of systems of rules (2-systems). In addition to showing that the two proof frameworks have the same expressive power, the embedding allows for the recovery of the benefits of locality for 2-systems, analyticity results for a large class of such systems, and a rewriting of hypersequent rules as natural deduction rules. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png ACM Transactions on Computational Logic (TOCL) Association for Computing Machinery

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Publisher
Association for Computing Machinery
Copyright
Copyright © 2018 ACM
ISSN
1529-3785
eISSN
1557-945X
DOI
10.1145/3180075
Publisher site
See Article on Publisher Site

Abstract

We define a bi-directional embedding between hypersequent calculi and a subclass of systems of rules (2-systems). In addition to showing that the two proof frameworks have the same expressive power, the embedding allows for the recovery of the benefits of locality for 2-systems, analyticity results for a large class of such systems, and a rewriting of hypersequent rules as natural deduction rules.

Journal

ACM Transactions on Computational Logic (TOCL)Association for Computing Machinery

Published: Apr 2, 2018

Keywords: Hypersequents

References