The Topology of Surprise

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985807%3A_____%2F22%3A00566819" target="_blank" >RIV/67985807:_____/22:00566819 - isvavai.cz</a>
Result on the web
<a href="https://dx.doi.org/10.24963/kr.2022/4" target="_blank" >https://dx.doi.org/10.24963/kr.2022/4</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.24963/kr.2022/4" target="_blank" >10.24963/kr.2022/4</a>

Result language
angličtina
Original language name
The Topology of Surprise
Original language description
In this paper we present a topological epistemic logic, with modalities for knowledge (modeled as the universal modality), knowability (represented by the topological interior operator), and unknowability of the actual world. The last notion has a non-self-referential reading (modeled by Cantor derivative: the set of limit points of a given set) and a selfreferential one (modeled by Cantor’s perfect core of a given set: its largest subset without isolated points). We completely axiomatize this logic, showing that it is decidable and PSPACE-complete, and we apply it to the analysis of a famous epistemic puzzle: the Surprise Exam Paradox.
Czech name
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Czech description
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Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2022
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection
Proceedings of the 19th International Conference on Principles of Knowledge Representation and Reasoning
ISBN
978-1-956792-01-0
ISSN
2334-1033
e-ISSN
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Number of pages
10
Pages from-to
33-42
Publisher name
International Joint Conferences on Artificial Intelligence Organization
Place of publication
Haifa
Event location
Haifa
Event date
Jul 31, 2022
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
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