ASYNC-CALL OPERATION OF P/T PETRI MULTIPROCESS MULTINETS AND ITS PROPERTIES.

Petri nets is one of mathematical modeling languages for the description of all kind of parallel systems. The new class of P/T Petri multiprocess multinets (PPMM) and its ASYNC-CALL operation are introduced in this article and their base characteristic of the well-formed property is proved. PPMM then generalize the definitions of the birelational P/T Petri nets and the P/T Petri process nets and their operators that follows from the base ideas of Petri net processes and their property-preserving Petri net process algebras (PPPA). PPPA does not need to verify the composition of the Petri net processes because all their algebraic operators preserve the specified set of the properties. The PPMM with the support of the ASYNC-CALL operation can be easily applied into the area of design, simulation and verification of multithreading programming systems based on the actor model of object-oriented programming, where all object are modeled as independent computational entities (i.e., active objects) that only respond to the received messages. This fact is demonstrated on the simple example of the client-server programming system executed in the distributed environment. [ABSTRACT FROM AUTHOR]