Geodesic
On Halldén Completeness of Modal Logics Determined by Homogeneous Kripke Frames
Bulletin of the Section of Logic, Tome 44 (2015) no. 3-4.

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Halldén complete modal logics are defined semantically. They have a nice characterization as they are determined by homogeneous Kripke frames. 
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     author = {Kostrzycka, Zofia},
     title = {On {Halld\'en} {Completeness} of {Modal} {Logics} {Determined} by {Homogeneous} {Kripke} {Frames}},
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Kostrzycka, Zofia. On Halldén Completeness of Modal Logics Determined by Homogeneous Kripke Frames. Bulletin of the Section of Logic, Tome 44 (2015) no. 3-4. http://geodesic.mathdoc.fr/item/BSL_2015_44_3-4_a2/