Iterative division in the product-free Distributive Full Non-associative Lambek Calculus
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We study an extension of the product-free Distributive Full Non-associative Lambek Calculus with iterative division operators. The iterative operators can be seen as representing iterative composition of linguistic resources or of actions. A complete axiomatization of the logic is provided and decidability is established via a proof of the finite model property.
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