Proof Theory of Riesz Spaces and Modal Riesz Spaces

We design hypersequent calculus proof systems for the theories of Riesz spaces and modal Riesz spaces and prove the key theorems: soundness, completeness and cut elimination. These are then used to obtain completely syntactic proofs of some interesting results concerning the two theories. Most notab...

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Bibliographic Details
Main Authors: Christophe Lucas, Matteo Mio
Format: Article
Language:English
Published: Logical Methods in Computer Science e.V. 2022-02-01
Series:Logical Methods in Computer Science
Subjects:
Online Access:https://lmcs.episciences.org/6428/pdf