Dual intuitionistic logic revisited

Rajeev Goré*

*Corresponding author for this work

    Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

    56 Citations (Scopus)

    Abstract

    We unify the algebraic, relational and sequent methods used by various authors to investigate "dual intuitionistic logic". We show that restricting sequents to "singletons on the left/right" cannot capture "intuitionistic logic with dual operators", the natural hybrid logic that arises from intuitionistic and dual-intuitionistic logic. We show that a previously reported generalised display framework does deliver the required cut-free display calculus. We also pinpoint precisely the structural rule necessary to turn this display calculus into one for classical logic.

    Original languageEnglish
    Title of host publicationAutomated Reasoning with Analytic Tableaux and Related Methods - International Conference, TABLEAUX 2000, Proceedings
    Pages252-267
    Number of pages16
    DOIs
    Publication statusPublished - 2000
    EventInternational Conference on Automated Reasoning with Analytic Tableaux and Related Methods, TABLEAUX 2000 - St Andrews, Scotland, United Kingdom
    Duration: 3 Jul 20007 Jul 2000

    Publication series

    NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
    Volume1847 LNAI
    ISSN (Print)0302-9743
    ISSN (Electronic)1611-3349

    Conference

    ConferenceInternational Conference on Automated Reasoning with Analytic Tableaux and Related Methods, TABLEAUX 2000
    Country/TerritoryUnited Kingdom
    CitySt Andrews, Scotland
    Period3/07/007/07/00

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