Semi De Morgan Logic Properly Displayed

Giuseppe Greco, Fei Liang*, M. Andrew Moshier, Alessandra Palmigiano

*Corresponding author for this work

Research output: Contribution to JournalArticleAcademicpeer-review

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Abstract

In the present paper, we endow semi De Morgan logic and a family of its axiomatic extensions with proper multi-type display calculi which are sound, complete, conservative, and enjoy cut elimination and subformula property. Our proposal builds on an algebraic analysis of the variety of semi De Morgan algebras, and applies the guidelines of the multi-type methodology in the design of display calculi.

Original languageEnglish
Pages (from-to)1-45
Number of pages45
JournalStudia logica
Volume109
Issue number1
Early online date25 Feb 2020
DOIs
Publication statusPublished - Feb 2021

Funding

Semi De Morgan algebras Proper display calculus Multi-type methodology NWO vidi grant 016.138.314 Palmigiano Alessandra NWO Aspasia grant 015.008.054 Palmigiano Alessandra The Fundamental Research Funds of Shandong University 11090079614065 Liang Fei publisher-imprint-name Springer article-contains-esm No article-numbering-style ContentOnly article-registration-date-year 2020 article-registration-date-month 1 article-registration-date-day 18 article-toc-levels 0 journal-product NonStandardArchiveJournal numbering-style ContentOnly article-grants-type Regular metadata-grant OpenAccess abstract-grant OpenAccess bodypdf-grant Restricted bodyhtml-grant Restricted bibliography-grant Restricted esm-grant OpenAccess online-first true pdf-file-reference BodyRef/PDF/11225_2020_Article_9898.pdf pdf-type Typeset target-type OnlinePDF article-type OriginalPaper journal-subject-primary Philosophy journal-subject-secondary Logic journal-subject-secondary Mathematical Logic and Foundations journal-subject-secondary Computational Linguistics journal-subject-collection Education open-access false

FundersFunder number
Fundamental Research Fund of Shandong University11090079614065
Nederlandse Organisatie voor Wetenschappelijk Onderzoek015.008.054, 016.138.314

    Keywords

    • Multi-type methodology
    • Proper display calculus
    • Semi De Morgan algebras

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