Some Exponential Lower Bounds on Formula-size in Modal Logic

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In Rajeev Goré, Barteld Kooi & Agi Kurucz, Advances in Modal Logic, Volume 10: Papers From the Tenth Aiml Conference, Held in Groningen, the Netherlands, August 2014. London, England: CSLI Publications. pp. 139-157 (2014)
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The succinctness of the cover modality.H. Van Ditmarsch & P. Iliev - 2015 - Journal of Applied Non-Classical Logics 25 (4):373-405.
The succinctness of first-order logic over modal logic via a formula size game.Lauri Hella & Miikka Vilander - 2016 - In Lev Beklemishev, Stéphane Demri & András Máté, Advances in Modal Logic, Volume 11. CSLI Publications. pp. 491-419.

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References found in this work

Modal Logic.Patrick Blackburn, Maarten de Rijke & Yde Venema - 2001 - Studia Logica 76 (1):142-148.
Modal logic and classical logic.Johan van Benthem - 1983 - Atlantic Highlands, N.J.: Distributed in the U.S.A. by Humanities Press.
Modal Definability in Languages with a Finite Number of Propositional Variables and a New Extension of the Sahlqvist's Class.Dimiter Vakarelov - 1998 - In Marcus Kracht, Maarten de Rijke, Heinrich Wansing & Michael Zakharyaschev, Advances in Modal Logic. CSLI Publications. pp. 499-518.

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