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2016 | 25 | 1 | 3-33
Article title

The lattice of Belnapian modal logics: Special extensions and counterparts

Title variants
Languages of publication
EN
Abstracts
EN
Let K be the least normal modal logic and BK its Belnapian version, which enriches K with ‘strong negation’. We carry out a systematic study of the lattice of logics containing BK based on: • introducing the classes (or rather sublattices) of so-called explosive, complete and classical Belnapian modal logics; • assigning to every normal modal logic three special conservative extensions in these classes; • associating with every Belnapian modal logic its explosive, complete and classical counterparts. We investigate the relationships between special extensions and counterparts, provide certain handy characterisations and suggest a useful decomposition of the lattice of logics containing BK.
Year
Volume
25
Issue
1
Pages
3-33
Physical description
Dates
online
2016-02-25
Contributors
References
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Document Type
Publication order reference
Identifiers
YADDA identifier
bwmeta1.element.desklight-362fcf22-a2a8-4600-adb0-0f23b3bcd3a6
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