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Categorical abstract algebraic logic: The categorical Suszko operator

✍ Scribed by George Voutsadakis

Publisher
John Wiley and Sons
Year
2007
Tongue
English
Weight
229 KB
Volume
53
Category
Article
ISSN
0044-3050

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✦ Synopsis

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. (© 2007 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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