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A True Concurrent Process Calculus and Its Conflict Bisimulation

In this paper we present a true concurrency variant ofpi-calculus. This calculus can describe the simultaneousexecution of several atomic actions and the true concurrentexecution of several processes. An important character oftrue concurrency is conflict. When a process encountersa conflict, it cannot evolve into any process. In orderto distinguish two processes that one may encounter aconflict, and the other cannot, we propose a concept ofconflict bisimulation, two processes are conflict bisimilarif they can not only evolve into conflict bisimilar processes,but also have the potential of same conflict. In pi-calculus,congruence cannot be preserved under prefix operator, butin the case of our true concurrency variant of pi-calculus,the congruence property holds for all operators.