Correspondence results for relational proof systems with application to the Lambek calculus

Studia Logica 71 (3):389-414 (2002)
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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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Citations of this work

Relational dual tableaux for interval temporal logics.David Bresolin, Joanna Golinska-Pilarek & Ewa Orlowska - 2006 - Journal of Applied Non-Classical Logics 16 (3-4):251–277.
Relational proof systems for spatial reasoning.Joanna Golińska-Pilarek & Ewa Orlowska - 2006 - Journal of Applied Non-Classical Logics 16 (3-4):409-431.

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