Bulletin of the Section of Logic 47/3 (2018)
http://hdl.handle.net/11089/27755
Sun, 03 Mar 2024 02:31:08 GMT2024-03-03T02:31:08ZBulletin of the Section of Logic 47/3 (2018)https://dspace.uni.lodz.pl:443/xmlui/bitstream/id/da2d2e5e-ca98-439a-bb10-706ad2ed6f70/
http://hdl.handle.net/11089/27755
A post-style proof of completeness theorem for symmetric relatedness Logic S
http://hdl.handle.net/11089/28053
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.
Mon, 01 Jan 2018 00:00:00 GMThttp://hdl.handle.net/11089/280532018-01-01T00:00:00ZA comparison of two systems of point-free topology
http://hdl.handle.net/11089/28052
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.
Mon, 01 Jan 2018 00:00:00 GMThttp://hdl.handle.net/11089/280522018-01-01T00:00:00ZB-almost distributive fuzzy lattice
http://hdl.handle.net/11089/28051
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.
Mon, 01 Jan 2018 00:00:00 GMThttp://hdl.handle.net/11089/280512018-01-01T00:00:00ZOn interpolation in next (kb.alt(2))
http://hdl.handle.net/11089/28050
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.
Mon, 01 Jan 2018 00:00:00 GMThttp://hdl.handle.net/11089/280502018-01-01T00:00:00Z