Categorical abstract algebraic logic: The categorical Suszko operator

Mathematical Logic Quarterly 53 (6):616-635 (2007)
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Abstract

Czelakowski introduced the Suszko operator as a basis for the development of a hierarchy of non-protoalgebraic logics, paralleling the well-known abstract algebraic hierarchy of protoalgebraic logics based on the Leibniz operator of Blok and Pigozzi. The scope of the theory of the Leibniz operator was recently extended to cover the case of, the so-called, protoalgebraic π-institutions. In the present work, following the lead of Czelakowski, an attempt is made at lifting parts of the theory of the Suszko operator to the π-institution framework

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References found in this work

A survey of abstract algebraic logic.J. M. Font, R. Jansana & D. Pigozzi - 2003 - Studia Logica 74 (1-2):13 - 97.
Protoalgebraic logics.W. J. Blok & Don Pigozzi - 1986 - Studia Logica 45 (4):337 - 369.
Equivalential logics.Janusz Czelakowski - 1981 - Studia Logica 40 (3):227-236.
Equivalential logics (I).Janusz Czelakowski - 1981 - Studia Logica 40 (3):227 - 236.

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