Yanjing Wang
Peking University
Yifeng Ding
University of California, Berkeley
Weakly Aggregative Modal Logic (WAML) is a collection of disguised polyadic modal logics with n-ary modalities whose arguments are all the same. WAML has some interesting applications on epistemic logic and logic of games, so we study some basic model theoretical aspects of WAML in this paper. Specifically, we give a van Benthem-Rosen characterization theorem of WAML based on an intuitive notion of bisimulation and show that each basic WAML system Kn lacks Craig Interpolation.
Keywords Weakly Aggregative Modal Logic  Bisimulation  van Benthem-Rosen characterzation  Craig Interpolation
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References found in this work BETA

"Knowing Value" Logic as a Normal Modal Logic.Tao Gu & Yanjing Wang - 2016 - In Lev Beklemishev, Stéphane Demri & András Máté (eds.), Advances in Modal Logic, Volume 11. CSLI Publications. pp. 362-381.

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Model Theoretical Aspects of Weakly Aggregative Modal Logic.Jixin Liu, Yifeng Ding & Yanjing Wang - 2022 - Journal of Logic, Language and Information 31 (2):261-286.

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