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Relational Semantics for Normal Topological Quasi-Boolean Logic

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Logic and Its Applications (ICLA 2023)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 13963))

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Abstract

This work introduces modal logics for varieties of normal topological quasi-Boolean algebras. Relational semantics for these modal logics using involutive frames are established. A discrete duality is given for involutive frames and normal topological quasi-Boolean algebras. Some results on Kripke-completeness and finite model property are given.

This work was supported by Chinese National Funding of Social Sciences (Grant no. 18ZDA033).

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Correspondence to Minghui Ma .

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Wu, H., Ma, M. (2023). Relational Semantics for Normal Topological Quasi-Boolean Logic. In: Banerjee, M., Sreejith, A.V. (eds) Logic and Its Applications. ICLA 2023. Lecture Notes in Computer Science, vol 13963. Springer, Cham. https://doi.org/10.1007/978-3-031-26689-8_15

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  • DOI: https://doi.org/10.1007/978-3-031-26689-8_15

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-031-26688-1

  • Online ISBN: 978-3-031-26689-8

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