Leibniz-linked Pairs of Deductive Systems

Studia Logica 99 (1-3):171-202 (2011)
Abstract
A pair of deductive systems (S,S’) is Leibniz-linked when S’ is an extension of S and on every algebra there is a map sending each filter of S to a filter of S’ with the same Leibniz congruence. We study this generalization to arbitrary deductive systems of the notion of the strong version of a protoalgebraic deductive system, studied in earlier papers, and of some results recently found for particular non-protoalgebraic deductive systems. The necessary examples and counterexamples found in the literature are described
Keywords Leibniz operator  Leibniz filters  protoalgebraic logics  strong version  truth-equational logics  abstract algebraic logic
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