Substructural logics with a reflexive transitive closure modality

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985955%3A_____%2F17%3A00477326" target="_blank" >RIV/67985955:_____/17:00477326 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1007/978-3-662-55386-2_25" target="_blank" >http://dx.doi.org/10.1007/978-3-662-55386-2_25</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/978-3-662-55386-2_25" target="_blank" >10.1007/978-3-662-55386-2_25</a>

Result language
angličtina
Original language name
Substructural logics with a reflexive transitive closure modality
Original language description
Reflexive transitive closure modalities represent a number of important notions, such as common knowledge in a group of agents or non-deterministic iteration of actions. Normal modal logics with such modalities are well-explored but weaker logics are not. We add a reflexive transitive closure box modality to the modal non-associative commutative full Lambek calculus with a simple negation. Decidability and weak completeness of the resulting system are established and extensions of the results to stronger substructural logics are discussed. As a special case, we obtain decidability and weak completeness for intuitionistic modal logic with the reflexive transitive closure box.
Czech name
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Czech description
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Type
D - Article in proceedings
CEP classification
—
OECD FORD branch
60301 - Philosophy, History and Philosophy of science and technology

Project
<a href="/en/project/GC16-07954J" target="_blank" >GC16-07954J: From Shared Evidence to Group Attitudes</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2017
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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