*Technical Report, arXiv.org e-Print archive. CoRR Technical
Report arXiv:1203.0024* 2012. Available at
http://arxiv.org/abs/1203.0024.

Data-centric dynamic systems are systems where both the process controlling the dynamics and the manipulation of data are equally central. Recently such kinds of systems are increasingly attracting the interest of the scientific community, especially in their variant called artifact-centric business processes. In this paper we study verification of (first-order) mu-calculus variants over relational data-centric dynamic systems, where data are represented by a full-fledged relational database, and the process is described in terms of atomic actions that evolve the database. The execution of such actions may involve calls to external services, providing fresh data inserted into the system. As a result such systems are typically infinite-state. We show that verification is undecidable in general, and we isolate notable cases, where decidability is achieved. Specifically we start by considering service calls that return values deterministically (depending only on passed parameters). We show that in a mu-calculus variant that preserves knowledge of objects appeared along a run we get decidability under the assumption that the fresh data introduced along a run are bounded, though they might not be bounded in the overall system. In fact we tie such a result to a notion related to weak acyclicity studied in data exchange. Then, we move to nondeterministic services where the assumption of data bounded run would result in a bound on the service calls that can be invoked during the execution and hence would be too restrictive. So we investigate decidability under the assumption that knowledge of objects is preserved only if they are continuously present. We show that if infinitely many values occur in a run but do not accumulate in the same state, then we get again decidability. We give syntactic conditions to avoid this accumulation through the novel notion of "generate-recall acyclicity", which takes into consideration that every service call activation generates new values that cannot be accumulated indefinitely.

@techreport{Corr-2012, title = "Verification of Relational Data-Centric Dynamic Systems with External Services", year = "2012", author = "Bagheri Hariri, Babak and Diego Calvanese and De Giacomo, Giuseppe and Alin Deutsch and Marco Montali", institution = "arXiv.org e-Print archive", number = "arXiv:1203.0024", note = "Available at http://arxiv.org/abs/1203.0024", }pdf url