Verification of validity of syllogisms with intermediate quantifiers is equivalent with checking Peterson's rules

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17610%2F23%3AA2402I3M" target="_blank" >RIV/61988987:17610/23:A2402I3M - isvavai.cz</a>
Result on the web
<a href="https://www.sciencedirect.com/science/article/pii/S0888613X23001251?via%3Dihub" target="_blank" >https://www.sciencedirect.com/science/article/pii/S0888613X23001251?via%3Dihub</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.ijar.2023.108994" target="_blank" >10.1016/j.ijar.2023.108994</a>

Result language
angličtina
Original language name
Verification of validity of syllogisms with intermediate quantifiers is equivalent with checking Peterson's rules
Original language description
This paper is a continuation of the previous paper in which we analyzed six Peterson's rules for checking validity of Aristotle classical syllogisms and also their extension for syllogisms with intermediate quantifiers. We formalized the rules and proved that only four rules are sufficient. In this paper we return to this topic and prove that a syllogism with intermediate quantifiers is valid iff it satisfies four (and consequently all six) Peterson's rules.
Czech name
—
Czech description
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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

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)

Publication year
2023
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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