A Cook's tour of duality in logic: from quantifiers, through Vietoris, to measures
Mai Gehrke,
Tomas Jakl,
Luca Reggio
Abstract:We identify and highlight certain landmark results in Samson Abramsky's work which we believe are fundamental to current developments and future trends. In particular, we focus on the use of • topological duality methods to solve problems in logic and computer science;• category theory and, more particularly, free (and co-free) constructions;• these tools to unify the 'power' and 'structure' strands in computer science.
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