Completeness of certain bimodal logics for subset spaces
Studia Logica 71 (1):1 - 30 (2002)
| Abstract | Subset Spaces were introduced by L. Moss and R. Parikh in [8]. These spaces model the reasoning about knowledge of changing states.In [2] a kind of subset space called intersection space was considered and the question about the existence of a set of axioms that is complete for the logic of intersection spaces was addressed. In [9] the first author introduced the class of directed spaces and proved that any set of axioms for directed frames also characterizes intersection spaces. | |||||||||
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Steffen Lewitzka & Andreas B. M. Brunner (2009). Minimally Generated Abstract Logics. Logica Universalis 3 (2).
Guram Bezhanishvili, Leo Esakia & David Gabelaia (2005). Some Results on Modal Axiomatization and Definability for Topological Spaces. Studia Logica 81 (3):325 - 355.
Konstantinos Georgatos (1997). Knowledge on Treelike Spaces. Studia Logica 59 (2):271-301.
J. C. R. Alcantud (1999). Weak Utilities From Acyclicity. Theory and Decision 47 (2):185-196.
Andrzej W. Jankowski (1985). Universality of the Closure Space of Filters in the Algebra of All Subsets. Studia Logica 44 (1):1 - 9.
Kensaku Gomi (2009). Theory of Completeness for Logical Spaces. Logica Universalis 3 (2).
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