Abstract
We continue the study of symmetric logics, i.e., collections of subsets generalizing Boolean algebras and closed under the symmetric difference. We contribute to several open questions. One of them is whether there is á non-Boolean symmetric logic such that all states on it are Δ-subadditive.
Dedicated to Professor Anatolij Dvurecenskij
(Communicated by Sylvia Pulmannová)
Acknowledgement
The authors thank the anonymous referees and non-anonymous colleagues for remarks that helped to improve the paper.
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