Paraconsistent Gödel Modal Logic
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985807%3A_____%2F22%3A00560973" target="_blank" >RIV/67985807:_____/22:00560973 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1007/978-3-031-10769-6_26" target="_blank" >http://dx.doi.org/10.1007/978-3-031-10769-6_26</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/978-3-031-10769-6_26" target="_blank" >10.1007/978-3-031-10769-6_26</a>
Alternative languages
Result language
angličtina
Original language name
Paraconsistent Gödel Modal Logic
Original language description
We introduce a paraconsistent modal logic KG2, based on Gödel logic with coimplication (bi-Gödel logic) expanded with a De Morgan negation ¬. We use the logic to formalise reasoning with graded, incomplete and inconsistent information. Semantics of KG2 is two-dimensional: we interpret KG2 on crisp frames with two valuations v1 and v2, connected via ¬, that assign to each formula two values from the real-valued interval [0, 1]. The first (resp., second) valuation encodes the positive (resp., negative) information the state gives to a statement. We obtain that KG2 is strictly more expressive than the classical modal logic K by proving that finitely branching frames are definable and by establishing a faithful embedding of K into KG2. We also construct a constraint tableau calculus for KG2 over finitely branching frames, establish its decidability and provide a complexity evaluation
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
2022
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Article name in the collection
Automated Reasoning: 11th International Joint Conference, IJCAR 2022 Proceedings
ISBN
978-3-031-10768-9
ISSN
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e-ISSN
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Number of pages
20
Pages from-to
429-448
Publisher name
Springer
Place of publication
Cham
Event location
Haifa
Event date
Aug 8, 2022
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
000876376400026