# Explaining Behavioural Inequivalence Generically in Quasilinear Time

@article{Wimann2021ExplainingBI, title={Explaining Behavioural Inequivalence Generically in Quasilinear Time}, author={Thorsten Wi{\ss}mann and Stefan Milius and Lutz Schr{\"o}der}, journal={ArXiv}, year={2021}, volume={abs/2105.00669} }

We provide a generic algorithm for constructing formulae that distinguish behaviourally inequivalent states in systems of various transition types such as nondeterministic, probabilistic or weighted; genericity over the transition type is achieved by working with coalgebras for a set functor in the paradigm of universal coalgebra. For every behavioural equivalence class in a given system, we construct a formula which holds precisely at the states in that class. The algorithm instantiates to…

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