From Display to Labelled Proofs for Tense Logics

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Contributors

Abstract

We introduce an effective translation from proofs in the display calculus to proofs in the labelled calculus in the context of tense logics. We identify the labelled calculus proofs in the image of this translation as those built from labelled sequents whose underlying directed graph possesses certain properties. For the basic normal tense logic Kt, the image is shown to be the set of all proofs in the labelled calculus G3Kt.

Details

Original languageEnglish
Title of host publicationLogical Foundations of Computer Science
EditorsSergei Artemov, Anil Nerode
Place of PublicationCham
PublisherSpringer International Publishing AG
Pages120-139
Number of pages20
ISBN (print)978-3-319-72056-2
Publication statusPublished - 2018
Peer-reviewedYes

External IDs

Scopus 85039457502
ORCID /0000-0003-3214-0828/work/142249480