Intuitionistic modal logic made explicit

Marti, Michel; Studer, Thomas (2016). Intuitionistic modal logic made explicit. The IfCoLog Journal of Logics and their Applications, 3(5), pp. 877-901. College Publications

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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.

Item Type: Journal Article (Original Article)
Division/Institute: 08 Faculty of Science > Institute of Computer Science (INF) > Logic and Theory Group (LTG)
08 Faculty of Science > Institute of Computer Science (INF)
UniBE Contributor: Marti, Michel and Studer, Thomas
Subjects: 000 Computer science, knowledge & systems
500 Science > 510 Mathematics
ISSN: 2055-3714
Publisher: College Publications
Language: English
Submitter: Lukas Jaun
Date Deposited: 14 Feb 2017 11:29
Last Modified: 14 Feb 2017 11:29
BORIS DOI: 10.7892/boris.95233
URI: http://boris.unibe.ch/id/eprint/95233

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