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Approximation and dependence via multiteam semantics

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Abstract

We define a variant of team semantics called multiteam semantics based on multisets and study the properties of various logics in this framework. In particular, we define natural probabilistic versions of inclusion and independence atoms and certain approximation operators motivated by approximate dependence atoms of Väänänen.

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Acknowledgments

The third author was supported by grants 292767, 308099, and 308712 of the Academy of Finland and 57348395 (DAAD). The fourth author was supported by the DFG grant ME 4279/1-1. The last author was supported by the Foundations’ Post Doc Pool via Jenny and Antti Wihuri Foundation.

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Correspondence to Jonni Virtema.

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Durand, A., Hannula, M., Kontinen, J. et al. Approximation and dependence via multiteam semantics. Ann Math Artif Intell 83, 297–320 (2018). https://doi.org/10.1007/s10472-017-9568-4

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