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11 - Computer Science and Informatics
University of Strathclyde
Neighbourhood structures : bisimilarity and basic model theory
<22>The significance of this paper is that its main result - viewing a coalgebraic modal logic as bisimulation-invariant fragment of a first-order logic - initiated a new line of research into coalgebraic analogues of the van Benthem theorem (cf. Pattinson, Schroeder) and the development of coalgebraic predicate logic (CPL), a first-order logic formalism that can be used to reason about coalgebras (cf. Litak, Schroeder and Pattinson). CPL is crucial for building bridges from coalgebra to areas where first-order logic is dominant, eg database theory. The paper was invited to a special journal edition of CALCO, further evidencing its quality.