http://hdl.handle.net/11089/27755 2026-04-05T21:24:52Z 2026-04-05T21:24:52Z Klonowski, Mateusz http://hdl.handle.net/11089/28053 2019-04-27T01:16:05Z 2018-01-01T00:00:00Z

A post-style proof of completeness theorem for symmetric relatedness Logic S Klonowski, Mateusz 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 Post-style completeness theorem for logic S is one of them. Our paper introduces a solution of this metalogical issue.

2018-01-01T00:00:00Z Gruszczyński, Rafał Pietruszczak, Andrzej http://hdl.handle.net/11089/28052 2019-04-27T01:16:04Z 2018-01-01T00:00:00Z

A comparison of two systems of point-free topology Gruszczyński, Rafał; Pietruszczak, Andrzej 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 inspired by the Grzegorczyk’s system, and which is its variation. Our aim is to compare the two approaches and show that they are slightly different. Except for pointing to dissimilarities, we also demonstrate that the theories coincide (in the sense that their axioms are satisfied in the same class of structures) in presence of axiom stipulating non-existence of atoms.

2018-01-01T00:00:00Z Assaye, Berhanu Alemneh, Mihret Tefera, Gerima http://hdl.handle.net/11089/28051 2019-04-27T01:16:03Z 2018-01-01T00:00:00Z

B-almost distributive fuzzy lattice Assaye, Berhanu; Alemneh, Mihret; Tefera, Gerima 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 prove the equivalency of B-algebra and B-fuzzy algebra. In addition, we extend PSADL to PSADFL and prove that B-ADFL implies PSADFL.

2018-01-01T00:00:00Z Kostrzycka, Zofia http://hdl.handle.net/11089/28050 2019-04-27T01:16:06Z 2018-01-01T00:00:00Z

On interpolation in next (kb.alt(2)) Kostrzycka, Zofia We prove that there is infinitely many tabular modal logics extending KB.Alt(2) which have interpolation.

2018-01-01T00:00:00Z