@article{Odintsov_Speranski_2016, title={The lattice of Belnapian modal logics: Special extensions and counterparts}, volume={25}, url={https://apcz.umk.pl/LLP/article/view/LLP.2016.002}, DOI={10.12775/LLP.2016.002}, abstractNote={<p>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:</p><p>• introducing the classes (or rather sublattices) of so-called explosive, complete and classical Belnapian modal logics;</p><p>• assigning to every normal modal logic three special conservative extensions in these classes;</p><p>• associating with every Belnapian modal logic its explosive, complete and classical counterparts.</p>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.}, number={1}, journal={Logic and Logical Philosophy}, author={Odintsov, Sergei P. and Speranski, Stanislav O.}, year={2016}, month={Feb.}, pages={3–33} }