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Analysis of Peterson's Rules for Syllogisms with Intermediate quantifiers

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17610%2F22%3AA2302EZC" target="_blank" >RIV/61988987:17610/22:A2302EZC - isvavai.cz</a>

  • Result on the web

    <a href="https://link.springer.com/chapter/10.1007/978-3-031-08971-8_52" target="_blank" >https://link.springer.com/chapter/10.1007/978-3-031-08971-8_52</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1007/978-3-031-08971-8_52" target="_blank" >10.1007/978-3-031-08971-8_52</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Analysis of Peterson's Rules for Syllogisms with Intermediate quantifiers

  • Original language description

    In our previous papers, we syntactically proved validity of 105 logical syllogisms with intermediate quantifiers. Peterson in his book suggested 6 rules using which it is possible to verify validity of such syllogisms in a simple way. The rules, however, are formulated in free language and so, it is not possible to check whether they are correct. In this paper, we focus on formalization of Peterson's rules. The main idea is based on the graded Peterson square of opposition, which has been formally analyzed in our previous publications.

  • Czech name

  • Czech description

Classification

  • Type

    D - Article in proceedings

  • CEP classification

  • OECD FORD branch

    10101 - Pure mathematics

Result continuities

  • Project

    <a href="/en/project/EF17_049%2F0008414" target="_blank" >EF17_049/0008414: Centre for the development of Artificial Intelligence Methods for the Automotive Industry of the region</a><br>

  • Continuities

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

Others

  • Publication year

    2022

  • Confidentiality

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

Data specific for result type

  • Article name in the collection

    Information Processing and Management of Uncertainty in Knowledge-Based Systems (Communications in Computer and Information Science series

  • ISBN

    978-3-030-50152-5

  • ISSN

  • e-ISSN

  • Number of pages

    13

  • Pages from-to

    634-646

  • Publisher name

    Springer

  • Place of publication

    Cham

  • Event location

    Miláno, Italy

  • Event date

    Jul 11, 2022

  • Type of event by nationality

    WRD - Celosvětová akce

  • UT code for WoS article