Geodesic
The Weak Variable Sharing Property
Bulletin of the Section of Logic, Tome 52 (2023) no. 1, pp. 85-99

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An algebraic type of structure is shown forth which is such that if it is a characteristic matrix for a logic, then that logic satisfies Meyer's weak variable sharing property. As a corollary, it is shown that RM and all its odd-valued extensions RM2n-1 satisfy the weak variable sharing property. It is also shown that a proof to the effect that the quot;fuzzy quot; version of the relevant logic R satisfies the property is incorrect.
Keywords: characteristic matrix, relevant logics, variable sharing properties 
Øgaard, Tore Fjetland. The Weak Variable Sharing Property. Bulletin of the Section of Logic, Tome 52 (2023) no. 1, pp. 85-99. http://geodesic.mathdoc.fr/item/BSL_2023_52_1_a4/
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