Boolean full Kripke structures are alg-universal

Every group is isomorphic to the automorphism group of a Kripke structure with Boolean part equal to a power set Boolean algebra. More generally, we prove that the category of Kripke structures with Boolean part equal to a power set Boolean algebra and morphisms with complete Boolean part is alg-universal, which means that it contains any category of universal algebras as a full subcategory.

CMUC - Centro de Matemática da Universidade de Coimbra; FCT

Country

Portugal

Related Organizations

University of Coimbra
Portugal

Keywords

Dynamic algebras, Kripke structures, Automorphism groups, Algebraic universality, Boolean algebras with operators

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