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On Polarity Frames: Applications to Substructural and Lattice-Based Logics

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985807%3A_____%2F14%3A00439788" target="_blank" >RIV/67985807:_____/14:00439788 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    On Polarity Frames: Applications to Substructural and Lattice-Based Logics

  • Original language description

    In this paper, on one hand, we address topology on polarities via general polarity frames by analogy of the relationship between topology on sets and general Kripke frames. Based on the topology on polarities, we provide the topological characterisationof descriptive polarity frames. On the other hand, we introduce disjoint unions and amalgamations of polarity frames with additional relations and constants. As applications of these constructions, we establish the Goldblatt-Thomason's theorem for (distributive) substructural logic and the amalgamation property for some lattice- based algebras.

  • Czech name

  • Czech description

Classification

  • Type

    D - Article in proceedings

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

Result continuities

  • Project

    <a href="/en/project/GAP202%2F10%2F1826" target="_blank" >GAP202/10/1826: Mathematical Fuzzy Logic in Computer Science</a><br>

  • Continuities

    I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Others

  • Publication year

    2014

  • 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

    978-1-84890-151-3

  • ISSN

  • e-ISSN

  • Number of pages

    20

  • Pages from-to

    533-552

  • Publisher name

    College Publications

  • Place of publication

    London

  • Event location

    Groningen

  • Event date

    Aug 5, 2014

  • Type of event by nationality

    WRD - Celosvětová akce

  • UT code for WoS article