The lattice of Belnapian modal logics: Special extensions and counterpartsстатья
Информация о цитировании статьи получена из
Web of Science,
Scopus
Статья опубликована в журнале из списка Web of Science и/или Scopus
Дата последнего поиска статьи во внешних источниках: 20 марта 2018 г.
Аннотация: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.