Free quantification in four-valued and fuzzy bilattice-valued logics
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17610%2F23%3AA2402KSX" target="_blank" >RIV/61988987:17610/23:A2402KSX - isvavai.cz</a>
Result on the web
<a href="https://link.springer.com/chapter/10.1007/978-3-031-46775-2_2" target="_blank" >https://link.springer.com/chapter/10.1007/978-3-031-46775-2_2</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/978-3-031-46775-2_2" target="_blank" >10.1007/978-3-031-46775-2_2</a>
Alternative languages
Result language
angličtina
Original language name
Free quantification in four-valued and fuzzy bilattice-valued logics
Original language description
We introduce a variant of free logic (i.e., a logic admitting terms with nonexistent referents) that accommodates truth-value gluts as well as gaps. Employing a suitable expansion of the Belnap-Dunn four-valued logic, we specify a dual-domain semantics for free logic, in which propositions containing non-denoting terms can be true, false, neither true nor false, or both true and false. In each model, the dual domain semantics separates existing and non-existing objects into two subdomains, making it possible to quantify either over all objects or existing objects only. We also outline a fuzzy variant of the dual-domain semantics, accommodating non-denoting terms in fuzzy contexts that can be partially indeterminate or inconsistent.
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/GA22-01137S" target="_blank" >GA22-01137S: Metamathematics of substructural modal logics</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2023
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Article name in the collection
Integrated Uncertainty in Knowledge Modelling and Decision Making. 10th International Symposium, IUKM 2023, Kanazawa, Japan, November 2-4, 2023, Proceedings, Part I
ISBN
978-3-031-46774-5
ISSN
—
e-ISSN
—
Number of pages
12
Pages from-to
15-26
Publisher name
Springer
Place of publication
Cham
Event location
Kanazawa
Event date
Nov 2, 2023
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
—