Generating (generalized) quasivarieties of algebras of logics
Carles Noguera i Clofent (Czech Academy of Sciences)

March 3, 2017, 12:00pm - 2:00pm
Logic Group, The University of Melbourne

Old Quad
Parkville 3010


Shawn Standefer
University of Melbourne

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Carles Noguera i Clofent (Czech Academy of Sciences) will present "Generating (generalized) quasivarieties of algebras of logics" at 12:30 on March 3 in Old Quad G09.

Abstract: In this talk I will present an abstract study of completeness properties of non-classical logics with respect to matricial semantics. Given a class of reduced matrix models we define three completeness properties of increasing strength and characterize them in terms of generation of the class of matrix models from a particular class by means of usual algebraic operators. Some characterizations hold in absolute generality and others are for logics with generalized implication or disjunction connectives. The results are collected in a recent joint paper with Petr Cintula.

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