This paper introduces a graphical notation called algebraic state transition diagrams (ASTD), which allows for the combination of state transition diagrams using classical process algebra operators like sequence, iteration, parallel composition, quantified choice and quantified synchronization. It is inspired from automata, statecharts and process algebras. Hence, it combines the strength of al...

This article demonstrates a new approach to analyzing UML designs using state and sequence diagrams. From multiple state diagrams, a super-state diagram which includes the cross-product of the selected states is built along with a transition matrix of possible transitions. The closure of the transition matrix is used to identify unreachable states and impossible transitions. Additionally, the c...

A system is introduced which automatically generates implementation code from the object and dynamic models of an application. We found that the behavior of active objects can well be represented by activity diagrams rather than state diagrams. The paper first explains our approach to convert state diagrams as well as activity diagrams into implementation code. The paper then describes our syst...

in this paper, we define the concepts of a complex fuzzy subset and a complex fuzzy finite state automaton. then we extend the notion of a complex fuzzy finite state automaton and introduce the notion of a general complex fuzzy automaton. after that we define the concept of a max- min general complex fuzzy automaton and construct some equivalence relations and some congruence relations in a max...

In this article, we introduce a new approach for analyzing UML designs to detect the inconsistencies between multiple state diagrams and sequence diagrams. The Super State Analysis (SSA) identifies the inconsistencies in super states, single step transitions, and sequences. Because SSA considers multiple UML state diagrams, it discovers inconsistencies that cannot be discovered when considering...

UML models offer a lot of information that should not be ignored in testing. By combining different UML components, different views of the program under test are used. The paper concentrates on a technique for generating test cases from a combination of UML sequence and state diagrams. The main information is extracted from sequence diagrams, which is complemented by initialization sequences fo...

Field theory on a fuzzy noncommutative sphere can be considered as a particular matrix approximation of field theory on the standard commutative sphere. We investigate from this point of view the scalar φ theory. We demonstrate that the UV/IR mixing problems of this theory are localized to the tadpole diagrams and can be removed by an appropiate (fuzzy) normal ordering of the φ vertex. The pert...

It is clearly in the tradition of biologists to conceptualize the dynamical evolution of biological systems in terms of state-transitions of biological objects. This paper is mainly concerned with (but obviously not limited too) the immunological branch of biology and shows how the adoption of UML (Unified Modeling Language) state-transition diagrams can ease the modeling, the understanding, th...