Expressive Logics for Coinductive Predicates [article]

Clemens Kupke, Jurriaan Rot
2021 arXiv   pre-print
The classical Hennessy-Milner theorem says that two states of an image-finite transition system are bisimilar if and only if they satisfy the same formulas in a certain modal logic. In this paper we study this type of result in a general context, moving from transition systems to coalgebras and from bisimilarity to coinductive predicates. We formulate when a logic fully characterises a coinductive predicate on coalgebras, by providing suitable notions of adequacy and expressivity, and give
more » ... cient conditions on the semantics. The approach is illustrated with logics characterising similarity, divergence and a behavioural metric on automata.
arXiv:2006.12465v4 fatcat:idu3sha5yvbntjlc4ihq6tu5a4