Abstract
We investigate the join semilattice of modal operators on a Boolean algebra B. Furthermore, we consider pairs \(\langle f,g \rangle \) of modal operators whose supremum is the unary discriminator on B, and study the associated bi-modal algebras.
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Acknowledgements
Ivo Düntsch gratefully acknowledges support by the National Natural Science Foundation of China, Grant No. 61976053, and contract DN02/15/19.12.2016 of the Bulgarian NFS. Ewa Orłowska gratefully acknowledges partial support from the National Science Centre project DEC-2011/02/A/HS1/00395. We also want to express our gratitude to the anonymous reviewer for careful reading and helpful suggestions, which greatly helped to increase the readability of the paper.
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Düntsch, I., Dzik, W., Orłowska, E. (2021). On the Semilattice of Modal Operators and Decompositions of the Discriminator. In: Madarász, J., Székely, G. (eds) Hajnal Andréka and István Németi on Unity of Science. Outstanding Contributions to Logic, vol 19. Springer, Cham. https://doi.org/10.1007/978-3-030-64187-0_9
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DOI: https://doi.org/10.1007/978-3-030-64187-0_9
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