Discrete Dualities for Double Stone Algebras

Studia Logica 99 (1-3):127-142 (2011)
Abstract
We present two discrete dualities for double Stone algebras. Each of these dualities involves a different class of frames and a different definition of a complex algebra. We discuss relationships between these classes of frames and show that one of them is a weakening of the other. We propose a logic based on double Stone algebras
Keywords Discrete duality  distributive lattices with operators  double Stone algebras
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