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Modal Logics of Uncertainty with Two-Layer Syntax: A General Completeness Theorem

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985807%3A_____%2F14%3A00431413" target="_blank" >RIV/67985807:_____/14:00431413 - isvavai.cz</a>

  • Alternative codes found

    RIV/67985556:_____/14:00431413

  • Result on the web

    <a href="http://dx.doi.org/10.1007/978-3-662-44145-9_9" target="_blank" >http://dx.doi.org/10.1007/978-3-662-44145-9_9</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1007/978-3-662-44145-9_9" target="_blank" >10.1007/978-3-662-44145-9_9</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Modal Logics of Uncertainty with Two-Layer Syntax: A General Completeness Theorem

  • Original language description

    Modal logics with two syntactical layers (both governed by classical logic) have been proposed as logics of uncertainty following Hamblin's seminal idea of reading the modal operator P(A) as 'probably A', meaning that the probability of a formula A is bigger than a given threshold. An interesting departure from that (classical) paradigm has been introduced by Hajek with his fuzzy probability logic when, while still keeping classical logic as interpretation of the lower syntactical layer, he proposed touse Lukasiewicz logic in the upper one, so that the truth degree of P(A) could be directly identified with the probability of A. Later, other authors have used the same formalism with different kinds of uncertainty measures and other pairs of logics, allowing for a treatment of uncertainty of vague events (i.e. also changing the logic in the lower layer). The aim of this paper is to provide a general framework for two-layer modal logics that encompasses all the previously studied two-lay

  • 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

    Logic, Language, Information, and Computation

  • ISBN

    978-3-662-44144-2

  • ISSN

    0302-9743

  • e-ISSN

  • Number of pages

    13

  • Pages from-to

    124-136

  • Publisher name

    Springer

  • Place of publication

    Heidelberg

  • Event location

    Valparaíso

  • Event date

    Sep 1, 2014

  • Type of event by nationality

    WRD - Celosvětová akce

  • UT code for WoS article