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A Note on Natural Extensions in Abstract Algebraic Logic

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985556%3A_____%2F15%3A00436388" target="_blank" >RIV/67985556:_____/15:00436388 - isvavai.cz</a>

  • Alternative codes found

    RIV/67985807:_____/15:00436388

  • Result on the web

    <a href="http://dx.doi.org/10.1007/s11225-014-9594-8" target="_blank" >http://dx.doi.org/10.1007/s11225-014-9594-8</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1007/s11225-014-9594-8" target="_blank" >10.1007/s11225-014-9594-8</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    A Note on Natural Extensions in Abstract Algebraic Logic

  • Original language description

    Transfer theorems are central results in abstract algebraic logic that allow to generalize properties of the lattice of theories of a logic to any algebraic model and its lattice of filters. Their proofs sometimes require the existence of a natural extension of the logic to a bigger set of variables. Constructions of such extensions have been proposed in particular settings in the literature. In this paper we show that these constructions need not always work and propose a wider setting (including all finitary logics and those with countable language) in which they can still be used.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

Result continuities

  • Project

    <a href="/en/project/GA13-14654S" target="_blank" >GA13-14654S: An Order-Based Approach to Non-Classical Propositional and Predicate Logics</a><br>

  • Continuities

    I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Others

  • Publication year

    2015

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Studia Logica

  • ISSN

    0039-3215

  • e-ISSN

  • Volume of the periodical

    103

  • Issue of the periodical within the volume

    4

  • Country of publishing house

    NL - THE KINGDOM OF THE NETHERLANDS

  • Number of pages

    9

  • Pages from-to

    815-823

  • UT code for WoS article

    000358588600008

  • EID of the result in the Scopus database

    2-s2.0-84938212488