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Implicational (semilinear) logics III: completeness properties

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985556%3A_____%2F18%3A00477040" target="_blank" >RIV/67985556:_____/18:00477040 - isvavai.cz</a>

  • Alternative codes found

    RIV/67985807:_____/18:00477040

  • Result on the web

    <a href="http://dx.doi.org/10.1007/s00153-017-0577-0" target="_blank" >http://dx.doi.org/10.1007/s00153-017-0577-0</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1007/s00153-017-0577-0" target="_blank" >10.1007/s00153-017-0577-0</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Implicational (semilinear) logics III: completeness properties

  • Original language description

    This paper presents an abstract study of completeness properties of non-classical logics with respect to matricial semantics. Given a class of reduced matrix models we define three completeness properties of increasing strength and characterize them in several useful ways. Some of these characterizations hold in absolute generality and others are for logics with generalized implication or disjunction connectives, as considered in the previous papers. Finally, we consider completeness with respect to matrices with a linear dense order and characterize it in terms of an extension property and a syntactical metarule. This is the final part of the investigation started and developed in the papers (Cintula and Noguera in Arch Math Logic 49(4):417–446, 2010 and Arch Math Logic 53(3):353–372, 2016).

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database

  • CEP classification

  • OECD FORD branch

    10101 - Pure mathematics

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

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Others

  • Publication year

    2018

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Archive for Mathematical Logic

  • ISSN

    0933-5846

  • e-ISSN

  • Volume of the periodical

    57

  • Issue of the periodical within the volume

    3-4

  • Country of publishing house

    DE - GERMANY

  • Number of pages

    30

  • Pages from-to

    391-420

  • UT code for WoS article

    000428317500011

  • EID of the result in the Scopus database

    2-s2.0-85026497280