Verifying Validity of Selected Forms of Syllogisms with Intermediate Quantifiers using Peterson's Rules

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17610%2F23%3AA2402IDL" target="_blank" >RIV/61988987:17610/23:A2402IDL - isvavai.cz</a>
Result on the web
<a href="https://link.springer.com/chapter/10.1007/978-3-031-39965-7_30" target="_blank" >https://link.springer.com/chapter/10.1007/978-3-031-39965-7_30</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/978-3-031-39965-7_30" target="_blank" >10.1007/978-3-031-39965-7_30</a>

Result language
angličtina
Original language name
Verifying Validity of Selected Forms of Syllogisms with Intermediate Quantifiers using Peterson's Rules
Original language description
The most reliable method how validity of a logical syllogism can be verified is to formalize it and show that there is either a formal proof or it is true in any model. A specific method for proving validity is to use special rules that have been used by logicians. However, we cannot be sure that they indeed verify the validity of syllogisms. The goal of this paper is to show that the rules indeed work. In his book, Peterson studied syllogisms with intermediate quantifiers and suggested extension of the rules also to them. In this paper, we formalize them and prove that a logical syllogism of Figure~I with intermediate quantifiers is valid iff it satisfies four extended Peterson’s rules.
Czech name
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Czech description
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Project
<a href="/en/project/EG17_147%2F0020575" target="_blank" >EG17_147/0020575: Consortium for industrial research and development of new applications of laser technologies using artificial intelligence methods</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

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

Article name in the collection
Proceedings of 13th Conference of the European Society for Fuzzy Logic and Technology, EUSFLAT 2023,
ISBN
978-3-031-39964-0
ISSN
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e-ISSN
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Number of pages
12
Pages from-to
357-368
Publisher name
Springer
Place of publication
Nizozemí
Event location
Španělsko, Palma
Event date
Sep 4, 2023
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
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