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Solution Techniques for Boolean Equation Systems

The goal of this project is to study solution techniques for Boolean equation systems. Efficient solution methods for Boolean equation systems are developed, by combining specific solution techniques for important subclasses of equation systems. In particular, by employing techniques from [2, 5, 3, 4], a specific fixpoint analysis tool is constructed to solve general form Boolean equation systems. The results are directly applicable to many verification problems, for instance μ-calculus model checking as well as equivalence/preorder checking on finite state concurrent systems. Typical applications are various embedded systems, communication protocols and safety critical controllers. So the resulting Boolean equation system solver is applicable and used in the design of distributed protocols, embedded systems and various distributed architectures.