Epistemic logics with structured knowledge

Multi-agent Dynamic Epistemic Logic, as a suitable modal logic to reason about knowledge evolving systems, has emerged in a number of contexts and scenarios. The agents knowledge in this logic is simply characterised by valuations of propositions. This paper discusses the adoption of other richer structures to make these representations, as graphs, algebras or even epistemic models. This method of building epistemic logics over richer structures is called “Epistemisation”. On this view a parametric method to build such Epistemic Logics with Public Announcements is introduced. Moreover, a parametric notion of bisimulation is presented, and the modal invariance of the proposed logics, with respect to this relation, are proved. Some interesting application horizons opened with this construction are stated.publishe

A Propositional Dynamic Logic for Concurrent Programs Based on the π-Calculus

AbstractThis work presents a Propositional Dynamic Logic (πDL) in which the programs are described in a language based on the π-Calculus without replication. Our goal is to build a dynamic logic that is suitable for the description and verification of properties of communicating concurrent systems, in a similar way as PDL is used for the sequential case. We build a simple Kripke semantics for this logic, provide a complete axiomatization for it and show that it has the finite model property