Abstract
Recently M. Szabolcs [12] has shown that many substructural logics including Lambek CalculusL are complete with respect to relativized Relational Semantics. The current paper proves that it is sufficient forL to consider a relativization to the relation “x dividesy” in some fixed semigroupG.
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Research partially supported by the Russian Fund for Fundamental Research Grant 93-012-590.
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Pankrat'ev, N. On the completeness of the Lambek Calculus with respect to relativized Relational Semantics. J Logic Lang Inf 3, 233–246 (1994). https://doi.org/10.1007/BF01053247
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DOI: https://doi.org/10.1007/BF01053247