Distributive full Lambek calculus has the finite model property

Studia Logica 91 (2):201 - 216 (2009)
We prove the Finite Model Property (FMP) for Distributive Full Lambek Calculus ( DFL ) whose algebraic semantics is the class of distributive residuated lattices ( DRL ). The problem was left open in [8, 5]. We use the method of nuclei and quasi–embedding in the style of [10, 1].
Keywords Full Lambek calculus  Residuated lattice  Distributive lattice  Finite model property  Decidability  Nucleus
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Steve Giambrone (1985). TW+ and RW+ Are Decidable. Journal of Philosophical Logic 14 (3):235 - 254.

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