On the Logic of Generalised Metric Spaces

Abstract : The aim of the paper is to work towards a generalisation of coalgebraic logic enriched over a commutative quantale. Previous work has shown how to dualise the coalgebra type functor $T:\varOmega \text {-}\mathsf {Cat}\rightarrow \varOmega \text {-}\mathsf {Cat}$ in order to obtain the modal operators and axioms describing transitions of type T. Here we give a logical description of the dual of $\varOmega \text {-}\mathsf {Cat}$.
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Octavian Babus, Alexander Kurz. On the Logic of Generalised Metric Spaces. 13th International Workshop on Coalgebraic Methods in Computer Science (CMCS), Apr 2016, Eindhoven, Netherlands. pp.136-155, ⟨10.1007/978-3-319-40370-0_9⟩. ⟨hal-01446037⟩

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