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  1. Relating Semantics for Hyper-Connexive and Totally Connexive Logics.Jacek Malinowski & Ricardo Arturo Nicolás-Francisco - 2023 - Logic and Logical Philosophy (Special Issue: Relating Logic a):1-14.
    In this paper we present a characterization of hyper-connexivity by means of a relating semantics for Boolean connexive logics. We also show that the minimal Boolean connexive logic is Abelardian, strongly consistent, Kapsner strong and antiparadox. We give an example showing that the minimal Boolean connexive logic is not simplificative. This shows that the minimal Boolean connexive logic is not totally connexive.
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  • Free choice permission, legitimization and relating semantics.Daniela Glavaničová, Tomasz Jarmużek, Mateusz Klonowski & Piotr Kulicki - forthcoming - Logic Journal of the IGPL.
    In this paper, we apply relating semantics to the widely discussed problem of free choice between permitted actions or situations in normative systems. Leaving aside contexts in which the free choice principle is obviously unacceptable or uncontroversially valid, we concentrate on free choice for explicit permissions. In order to construct a formal representation of explicit permissions, we introduce a special constant, $\texttt {permit}$, which is analogous to the constant $\texttt {violation}$ used in the Andersonian–Kangerian approach to deontic logic with respect (...)
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