First-order modal logic
Modal logic
Mathematical modal logic: a view of its evolution
Journal of Applied Logic
Natural Deduction, Hybrid Systems and Modal Logics
Natural Deduction, Hybrid Systems and Modal Logics
Referentiality and Matrix Semantics
Studia Logica
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The paper is a brief survey of the most important semantic constructions founded on the concept of possible world. It is impossible to capture in one short paper the whole variety of the problems connected with manifold applications of possible worlds. Hence, after a brief explanation of some philosophical matters I take a look at possible worlds from rather technical standpoint of logic and focus on the applications in formal semantics. In particular, I would like to focus on the fruitful marriage of possible world semantics and algebra and its evolution leading to very general construction of Wójcicki called referential semantics and some of its refinements. The presentation is informal and sketchy; the main purpose is to put in one place a short, and readable I hope, description of the most important constructions and to point out the main sources of these solutions.