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Axiomatization of a Basic Logic of Logical Bilattices
(Wydawnictwo Uniwersytetu Łódzkiego, 2016)
A sequential axiomatization is given for the 16-valued logic that has been proposed by Shramko-Wansing (J Philos Logic 34:121–153, 2005) as a candidate for the basic logic of logical bilattices.
A Modified Subformula Property for the Modal Logic S4.2
(Wydawnictwo Uniwersytetu Łódzkiego, 2019)
The modal logic S4.2 is S4 with the additional axiom ◊□A ⊃ □◊A. In this article, the sequent calculus GS4.2 for this logic is presented, and by imposing an appropriate restriction on the application of the cut-rule, it is ...