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Proof Systems for the Coalgebraic Cover Modality

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985807%3A_____%2F08%3A00320237" target="_blank" >RIV/67985807:_____/08:00320237 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Proof Systems for the Coalgebraic Cover Modality

  • Original language description

    We investigate an alternative presentation of classical and positive modal logic where the coalgebraic cover modality is taken as primitive. For each logic, we present a sound and complete Hilbert-style axiomatization. Moreover, we give a two-sided soundand complete sequent calculus for the negation-free language, and for the language with negation we provide a one-sided sequent calculus which is sound, complete and cut-free.

  • Czech name

    Důkazové systémy pro koalgebraickou modalitu

  • Czech description

    Článek zkoumá alternativní prezentaci klasické a positivní modální logiky v jazyce s koalgebraickou modalitou pokrytí jako primitivním operátorem. Pro obě logiky prezentujeme korektní a úplnou hilbertovskou axiomatizaci, korektní a úplný sekventový kalkul s oboustrannými sekventy a korektní, úplný a bezřezový sekventový kalkul s jednostrannými sekventy.

Classification

  • Type

    D - Article in proceedings

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

Result continuities

  • Project

    <a href="/en/project/IAA900090703" target="_blank" >IAA900090703: Dynamic Formal Systems</a><br>

  • Continuities

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>Z - Vyzkumny zamer (s odkazem do CEZ)

Others

  • Publication year

    2008

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Article name in the collection

    Advances in Modal Logic

  • ISBN

    978-1-904987-68-0

  • ISSN

  • e-ISSN

  • Number of pages

    21

  • Pages from-to

  • Publisher name

    College Publications

  • Place of publication

    London

  • Event location

    Nancy

  • Event date

    Sep 9, 2008

  • Type of event by nationality

    WRD - Celosvětová akce

  • UT code for WoS article