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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

  • Sobolev Institute of Mathematics, Novosibirsk, Russia
  • Sobolev Institute of Mathematics, Novosibirsk, Russia

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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