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BLAST 2008
August 6-10, 2008
University of Denver
Denver, CO, USA

Organizers
Rick Ball, Natasha Dobrinen (co-chair), Nikolaos Galatos (co-chair)

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Ordered Groups in Logic
by
Constantine Tsinakis
Vanderbilt University

We propose a new paradigm for the study of various classes of residuated algebras (algebraic counterparts of propositional substructural logics) by viewing them as lattice-ordered groups with a suitable modal operator. This analysis makes precise the view that some of the most interesting algebras arising in algebraic logic are intimately related to lattice-ordered groups.

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Date received: July 1, 2008

Copyright © 2008 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caxi-48.