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Logic Journal of IGPL Advance Access originally published online on September 26, 2007
Logic Journal of IGPL 2007 15(5-6):475-501; doi:10.1093/jigpal/jzm036
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© The Author, 2007. Published by Oxford University Press. All rights reserved. For Permissions, please email: journals.permissions@oxfordjournals.org

Fibring in the Leibniz Hierarchy

Víctor L. Fernández

Basic Sciences Institute (Mathematical Area), Philosophy College, National University of San Juan (UNSJ), San Juan, Argentina. E-mail: vlfernan{at}ffha.unsj.edu.ar

Marcelo E. Coniglio

Institute of Philosophy and Human Sciences (IFCH) and Centre for Logic, Epistemology and The History of Science (CLE), State University of Campinas (UNICAMP), Campinas, SP, Brazil. Security and Quantum Information Group (SQIG), Instituto de Telecomunicações (IT), Lisbon, Portugal. E-mail: coniglio{at}cle.unicamp.br


  Abstract

This article studies preservation of certain algebraic properties of propositional logics when combined by fibring. The logics analyzed here are classified in protoalgebraic, equivalential and algebraizable. By introducing new categories of algebrizable logics and of deductivizable quasi-varieties, it is stated an isomorphism between these categories. This constitutes an alternative to a similar result found in the literature.

Key Words: abstract algebraic logic • fibring of logics • categorial combination of logics.

Received for publication 20 October 2006.
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