Abstract
We present a general framework for proof systems for relational theories. We discuss principles of the construction of deduction rules and correspondences reflecting relationships between semantics of relational logics and the rules of the respective proof systems. We illustrate the methods developed in the paper with examples relevant for the Lambek calculus and some of its extensions.
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MacCaull, W., Orłlowska, E. Correspondence Results for Relational Proof Systems with Application to the Lambek Calculus. Studia Logica 71, 389–414 (2002). https://doi.org/10.1023/A:1020572931854
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DOI: https://doi.org/10.1023/A:1020572931854