Abstract
A new modal logic containing four dynamic modalities with the following informal reading is introduced: \({\square^\forall}\) – always necessary, \({\square^\exists}\) – sometimes necessary, and their duals – \({\diamondsuit^\forall}\) – always possibly, and \({\diamondsuit^\exists}\) – sometimes possibly. We present a complete axiomatization with respect to the intended formal semantics and prove decidability via fmp.
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References
Blackburn, P., M. de Rijke, and Y. Venema, Modal Logic, Cambridge University Press, 2001.
Chagrov, A., and M. Zakharyaschev, Modal Logic, Oxford, 1997.
Demri, S., and E. Orlowska, Incomplete Information: Structure, Inference, Complexity, Springer 2002.
Rybakov V.V.: ‘Temporal logic with interacting agents’. Journal of Applied Non-Classical Logics 18(2-3), 293–308 (2008)
Vakarelov D.: ‘Dynamic Mereotopology: A Point-free Theory of Changing Regions. I. Stable and unstable mereotopological relations’. Fundam. Inform. 100(1-4), 159–180 (2010)
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Dedicated to the memory of Leo Esakia
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Vakarelov, D. Dynamic Modalities. Stud Logica 100, 385–397 (2012). https://doi.org/10.1007/s11225-012-9383-1
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DOI: https://doi.org/10.1007/s11225-012-9383-1