Work

Modal Logics for Nominal Transition Systems

Year: 2021
Type: article
Abstract: We define a general notion of transition system where states and action labels can be from arbitrary nominal sets, actions may bind names, and state predicates from an arbitrary logic define properties of states. A Hennessy-Milner logic for these systems is introduced, and proved adequate and expressively complete for bisimulation equivalence. A main technical novelty is the use of finitely supported infinite conjunctions. We show how to treat different bisimulation variants such as early, late, open and weak in a systematic way, explore the folklore theorem that state predicates can be replaced by actions, and make substantial comparisons with related work. The main definitions and theorems have been formalised in Nominal Isabelle.
Institution: Uppsala University
Language: English
Open Access status: diamond
OpenAlex ID: W2578884485
FWCI: 0.178
Cites: 42
Cited by: 4
Related to: 10