Runtime monitoring for Hennessy-Milner logic with recursion over systems with data

Orateur : Léo Exibard
06 December 2022 à 14:00 ; lieu : Seminar room 4B125 (Copernic building)

Runtime verification consists in checking whether a program satisfies a given specification by observing the trace it produces during its execution. In the regular setting, Hennessy-Milner logic with recursion (recHML), a variant of the modal µ-calculus, provides a versatile back-end for expressing linear- and branching-time specifications. In this talk, I will discuss an extension of this logic that allows to express properties over data values (i.e. values from an infinite domain) and examine which fragments can be verified at runtime. Data values are manipulated through equality tests in modalities and through first-order quantification outside of them. They can also be stored using parameterised recursion variables.

I then examine what kind of properties can be monitored at runtime, depending on the monitor model. A key aspect is that the logic has close links with register automata with non-deterministic reassignment, which yields a monitor synthesis algorithm, and allows to derive impossibility results. In particular, contrary to the regular case, restricting to deterministic monitors strictly reduces the set of monitorable properties.

This is joint work with the MoVeMnt team (Reykjavik University): Luca Aceto, Antonis Achilleos, Duncan Paul Attard, Adrian Francalanza, Karoliina Lehtinen.


Seminar room 4B125 (Copernic building)

5 Boulevard Descartes 77420 Champs-sur-Marne