Static Analysis of Deterministic Negotiations

Negotiation diagrams are a model of concurrent computation akin to workflow Petri nets. Deterministic negotiation diagrams, equivalent to the much studied and used free-choice workflow Petri nets, are surprisingly amenable to verification. Soundness (a property close to deadlock-freedom) can be decided in PTIME. Further, other fundamental questions like computing summaries or the expected cost, can also be solved in PTIME for sound deterministic negotiation diagrams, while they are PSPACE-complete in the general case. In this paper we generalize and explain these results. We extend the classical "meet-over-all-paths" (MOP) formulation of static analysis problems to our concurrent setting, and introduce Mazurkiewicz-invariant analysis problems, which encompass the questions above and new ones. We show that any Mazurkiewicz-invariant analysis problem can be solved in PTIME for sound deterministic negotiations whenever it is in PTIME for sequential flow-graphs---even though the flow-graph of a deterministic negotiation diagram can be exponentially larger than the diagram itself. This gives a common explanation to the low-complexity of all the analysis questions studied so far. Finally, we show that classical gen/kill analyses are also an instance of our framework, and obtain a PTIME algorithm for detecting anti-patterns in free-choice workflow Petri nets. Our result is based on a novel decomposition theorem, of independent interest, showing that sound deterministic negotiation diagrams can be hierarchically decomposed into (possibly overlapping) smaller sound diagrams.Comment: To appear in the Proceedings of LICS 2017, IEEE Computer Societ

Reachability for dynamic parametric processes

In a dynamic parametric process every subprocess may spawn arbitrarily many, identical child processes, that may communicate either over global variables, or over local variables that are shared with their parent. We show that reachability for dynamic parametric processes is decidable under mild assumptions. These assumptions are e.g. met if individual processes are realized by pushdown systems, or even higher-order pushdown systems. We also provide algorithms for subclasses of pushdown dynamic parametric processes, with complexity ranging between NP and DEXPTIME.Comment: 31 page

Slicing of Concurrent Programs and its Application to Information Flow Control

This thesis presents a practical technique for information flow control for concurrent programs with threads and shared-memory communication. The technique guarantees confidentiality of information with respect to a reasonable attacker model and utilizes program dependence graphs (PDGs), a language-independent representation of information flow in a program

Static analysis of unbounded structures in object-oriented programs

In this thesis we investigate different techniques and formalisms to address complexity introduced by unbounded structures in object-oriented programs. We give a representation of a weakest precondition calculus for abstract object creation in dynamic logic. Based on this calculus we define symbolic execution including abstract object creation. We investigate the complex behaviour introduced by multi-threading and give a formalism based on the transformation of multi-threaded reentrant call-graphs to thread automata and the application of context free language reachability to decide deadlock freedom of such programs. We give a formalisation of the observable interface behaviour of a concurrent, object-oriented language with futures and promises. The calculus captures the core of the Creol language and allows for a comparison with the concurrency model of thread-based, object-oriented languages like Java or C#. We give a technique to detect deadlock freedom for an Actor-like subset of the Creol language. LEI Universiteit LeidenThe work in this thesis has been carried out at the Christian-Albrechts--Universität zu Kiel, the Centrum Wiskunde & Informatica (CWI), and the Universiteit Leiden. The research was partially funded by the EU-project IST- 33826 Credo: Modeling and analysis of evolutionary structures for distributed services; the EU-project FP7-231620 HATS: Highly Adaptable and Trustworthy Software using Formal Methods; and the German-Norwegian DAAD-NWO exchange project Avabi (Automated validation for behavioral interfaces of asynchronous active objects).Algorithms and the Foundations of Software technolog