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A comparison of two systems of point-free topology
(Wydawnictwo Uniwersytetu Łódzkiego, 2018)
This is a spin-off paper to [3, 4] in which we carried out an extensive analysis of Andrzej Grzegorczyk’s point-free topology from [5]. In [1] Loredana Biacino and Giangiacomo Gerla presented an axiomatization which was ...
A post-style proof of completeness theorem for symmetric relatedness Logic S
(Wydawnictwo Uniwersytetu Łódzkiego, 2018)
One of the logic defined by Richard Epstein in a context of an analysis of subject matter relationship is Symmetric Relatedness Logic S. In the monograph [2] we can find some open problems concerning relatedness logic, a ...
Identity, equality, nameability and completeness. Part II
(Wydawnictwo Uniwersytetu Łódzkiego, 2018)
This article is a continuation of our promenade along the winding roads of identity, equality, nameability and completeness. We continue looking for a place where all these concepts converge. We assume that identity is a ...
B-almost distributive fuzzy lattice
(Wydawnictwo Uniwersytetu Łódzkiego, 2018)
The paper introduces the concept of B-Almost distributive fuzzy lattice (BADFL) in terms of its principal ideal fuzzy lattice. Necessary and sufficient conditions for an ADFL to become a B-ADFL are investigated. We also ...
On interpolation in next (kb.alt(2))
(Wydawnictwo Uniwersytetu Łódzkiego, 2018)
We prove that there is infinitely many tabular modal logics extending KB.Alt(2) which have interpolation.