Complexity of Łukasiewicz Modal Probabilistic Logics

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985807%3A_____%2F25%3A00646788" target="_blank" >RIV/67985807:_____/25:00646788 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.4204/EPTCS.437.28" target="_blank" >https://doi.org/10.4204/EPTCS.437.28</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.4204/EPTCS.437.28" target="_blank" >10.4204/EPTCS.437.28</a>

Result language
angličtina
Original language name
Complexity of Łukasiewicz Modal Probabilistic Logics
Original language description
Modal probabilistic logics provide a framework for reasoning about probability in modal contexts, involving notions such as knowledge, belief, time, and action. In this paper, we study a particular family of these logics, extending the modal Łukasiewicz many-valued logic. These logics are shown to be capable of expressing nuanced probabilistic concepts, including upper and lower probabilities. Our main contribution is a PSPACE-completeness result for two variants of the local consequence problem, providing a precise computational characterisation.
Czech name
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Czech description
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Project
<a href="/en/project/GA22-16111S" target="_blank" >GA22-16111S: GRADLACT: Graded Logics of Action</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection
Proceedings Twentieth Conference on Theoretical Aspects of Rationality and Knowledge (TARK 2025)
ISBN
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ISSN
2075-2180
e-ISSN
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Number of pages
15
Pages from-to
350-364
Publisher name
Open Publishing Association
Place of publication
Waterloo
Event location
Düsseldorf
Event date
Jul 14, 2025
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
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