Today, the verification of complex distributed embedded real-time systems employing model checking is largely limited by the state explosion problem. We first report on the current tool support for an approach which addresses this problem by means of a compositional model checking approach for a pattern and component based UML 2.0 designs. However, the current checking covers only an abstractio...

Reactive systems have an ongoing interaction with their environment, accepting requests and producing responses. Correct and reliable construction of reactive systems is particularly important and challenging. So, using a formal method to establish mathematical proof of correctness of such systems is necessary. A formal method consists of three major components: a model for describing the behav...

Falkenhainer, B. and K.D . Forbus, Compositional modeling: finding the right model for the job, Artificial Intelligence 51 (1991) 95-143 . To represent an engineer's knowledge will require domain theories that are orders of magnitude larger than today's theories, describe phenomena at several levels of granularity, and incorporate multiple perspectives . To build and use such theories effective...

Outlier detection based on the Mahalanobis distance (MD) requires an appropriate transformation in case of compositional data. For the family of logratio transformations (additive, centered and isometric logratio transformation) it is shown that the MDs based on classical estimates are invariant to these transformations, and that the MDs based on affine equivariant estimators of location and co...

The paper introduces a task model for the redesign of compositional knowledge-based systems based on a generic task model of design. A generic task model of design provides an abstract description of a design task and a generic structure which can be refined for design tasks in specific domains of application. A generic task model of design, shown to incorporate redesign, is presented and refin...

A composition is a vector of proportions describing the contribution of each of k components to the whole. We introduce an algebra for compositions that provides a natural definition for additive statistical models. The algebra eases interpretation of treatment effects, treatment interactions, and covariates. Our developments extend the logistic normal modeling framework of Aitchison (1982, 198...

This paper proposes a model checking method for microcomputer programs. To deal with the state explosion problem, we adopt a compositional verification approach. Based on the proposed method, a microcomputer program for a reallife air-conditioner is verified. The program is large enough to cause state explosion. Among fourteen typical properties of the program, five properties are successfully ...