Chairs: C. Cirstea, F. Gadducci, H. Schlingloff Past Chairmen: M. Roggenbach, L. Schröder, T. Mossakowski, J. Fiadeiro, P. Mosses, H.-J. Kreowski
Tue, 25 April 2023 at 02:00 pm in Paris, France
Joint work with: Harsh Beohar, Sebastian Gurke, Karla Messing
Abstract: We introduce a general and compositional, yet simple, framework that allows to derive soundness and expressiveness results for modal logics characterizing behavioural equivalences or metrics (also known as Hennessy-Milner theorems). It is based on Galois connections between sets of (real-valued) predicates on the one hand and equivalence relations/metrics on the other hand and covers a part of the linear-time-branching-time spectrum, both for the qualitative case (behavioural equivalences) and the quantitative case (behavioural metrics). We derive behaviour functions from a given logic and give a condition, called compatibility, that characterizes under which conditions a logically induced equivalence/metric is induced by a fixpoint equation. In particular, this framework allows to derive a new fixpoint characterization of directed trace metrics.
Slides