Non-standard Modalities in Paraconsistent Gödel Logic
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985955%3A_____%2F23%3A00605420" target="_blank" >RIV/67985955:_____/23:00605420 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1007/978-3-031-43619-2_29" target="_blank" >https://doi.org/10.1007/978-3-031-43619-2_29</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/978-3-031-43619-2_29" target="_blank" >10.1007/978-3-031-43619-2_29</a>
Alternative languages
Result language
angličtina
Original language name
Non-standard Modalities in Paraconsistent Gödel Logic
Original language description
We introduce a paraconsistent expansion of the Godel logic with a De Morgan negation notsign and modalities square and lozenge. We dub the logic G(square,lozenge)(2 +/-) and equip it with Kripke semantics on frames with two (possibly fuzzy) relations: R+ and R- (interpreted as the degree of trust in affirmations and denials by a given source) and valuations v(1) and v(2) (positive and negative support) ranging over [0, 1] and connected via (sic). We motivate the semantics of square phi (resp., lozenge phi) as infima (suprema) of both positive and negative supports of f in R+- and R- -accessible states, respectively. We then prove several instructive semantical properties of G(square,lozenge)(2 +/-) . Finally, we devise a tableaux system for G(square,lozenge)(2 +/-) over finitely branching frames and establish the complexity of satisfiability and validity.
Czech name
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Czech description
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Classification
Type
D - Article in proceedings
CEP classification
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OECD FORD branch
60301 - Philosophy, History and Philosophy of science and technology
Result continuities
Project
<a href="/en/project/GM21-23610M" target="_blank" >GM21-23610M: Logical Structure of Information Channels</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
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
Logics in Artificial Intelligence. 18th European Conference, JELIA 2023, Dresden, Germany, September 20–22, 2023, Proceedings
ISBN
978-3-031-43618-5
ISSN
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e-ISSN
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Number of pages
17
Pages from-to
420-436
Publisher name
Springer
Place of publication
Cham
Event location
Dresden
Event date
Sep 20, 2023
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
001157340700029