Two-Layered Logics for Paraconsistent Probabilities
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985807%3A_____%2F23%3A00580808" target="_blank" >RIV/67985807:_____/23:00580808 - isvavai.cz</a>
Alternative codes found
RIV/67985955:_____/23:00580808
Result on the web
<a href="https://doi.org/10.1007/978-3-031-39784-4_7" target="_blank" >https://doi.org/10.1007/978-3-031-39784-4_7</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/978-3-031-39784-4_7" target="_blank" >10.1007/978-3-031-39784-4_7</a>
Alternative languages
Result language
angličtina
Original language name
Two-Layered Logics for Paraconsistent Probabilities
Original language description
We discuss two-layered logics formalising reasoning with paraconsistent probabilities that combine the Łukasiewicz [0,1]-valued logic with Baaz Delta operator and the Belnap–Dunn logic. The first logic formalises a ‘two-valued’ approach where each event ϕ has independent positive and negative measures that stand for, respectively, the likelihoods of ϕ and ¬ϕ. The second logic that we introduce here corresponds to ‘four-valued’ probabilities. There, ϕ is equipped with four measures standing for pure belief, pure disbelief, conflict and uncertainty of an agent in ϕ. We construct faithful embeddings of and into one another and axiomatise using a Hilbert-style calculus. We also establish the decidability of both logics and provide complexity evaluations for them using an expansion of the constraint tableaux calculus for L.
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
10201 - Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)
Result continuities
Project
<a href="/en/project/GA22-01137S" target="_blank" >GA22-01137S: Metamathematics of substructural modal logics</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
Logic, Language, Information, and Computation
ISBN
978-3-031-39783-7
ISSN
0302-9743
e-ISSN
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Number of pages
17
Pages from-to
101-117
Publisher name
Springer
Place of publication
Cham
Event location
Halifax
Event date
Jul 11, 2023
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
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