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Intuitionistic modal logic made explicit

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DOI
10.7892/boris.95233
Official URL
http://www.collegepublications.co.uk/journals/ifcolog/?00009
Abstract
Previous intuitionistic justification logics included explicit justifications for all admissible rules of intuitionistic logic in order to get completeness with respect to provability semantics. We present the justification logic iJT4, which does not have these additional justification terms. We establish that iJT4 is complete with respect to modular models and that there is a realization of intuitionistic
S4 into iJT4. Hence iJT4 can be seen as an explicit version of intuitionistic
S4.
Date Issued
2016
Publication Type
Article
Subject(s)
000 Computer science, knowledge & systems
500 Science > 510 Mathematics
Language(s)
en
Author(s)
Marti, Michel  
Institut für Informatik (INF)  
Studer, Thomas  orcid-logo
Institut für Informatik (INF)  
Additional Credits
Institut für Informatik (INF)  
Journal
The IfCoLog Journal of Logics and their Applications
Publisher
College Publications
ISSN
2055-3714
Access(Rights)
restricted
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