Modern software, which is often concurrent and distributed, must be extremely reliable and correct. Model checking [3] is a technique for automating high-quality assurance of software. Given a finite state model of a system and a property, usually expressed as an automaton or a temporal logic formula, model checking systematically goes through all the possible system behaviors and checks them f...

We describe a method for reducing the complexity of temporal logic model checking in systems composed of many parallel processes. The goal is to check properties of the components of a system and then deduce global properties from these local properties. The main difficulty with this type of approach is that local properties are often not preserved at the global level. We present a general fram...

The amalgamation operation is frequently used to reduce the number of parts of compositional data but it is a non-linear operation in the simplex with the usual geometry, the Aitchison geometry. The concept of balances between groups, a particular coordinate system designed over binary partitions of the parts, could be an alternative to the amalgamation in some cases. In this work we discuss th...

data Peter Filzmoser, Karel Hron, Clemens Reimann Department of Statistics and Probability Theory, Vienna University of Technology, Wiedner Hauptstraße 8-10, A-1040 Vienna, Austria. Tel +43 1 58801 10733, FAX +43 1 58801 10799 Department of Mathematical Analysis and Applications of Mathematics, Palacký University, Faculty of Science, 17. listopadu 12, CZ-77146 Olomouc, Czech Republic Geological...

In this survey, we overview several compositional veriication approaches based on model checking, namely compositional minimization, classic assume guarantee reasoning and circular reasoning. We describe details of each of these approaches, and elaborate the general problems with some proposed solutions. We also summarize the advantages and disadvantages of each. In the last section, we give a ...