Bisimulation Lattice of Chi Processes

Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 1538)


Chi calculus was proposed as a process algebra that has a uniform treatment of names. The paper carries out a systematic study of bisimilarities for chi processes. The notion of L-bisimilarity is introduced to give a possible classification of bisimilarities on chi processes. It is shown that the set of L-bisimilarities forms a four element lattice and that well-known bisimilarities for chi processes fit into the lattice hierarchy. The four distinct L-bisimilarities give rise to four congruence relations. Complete axiomatization system is given for each of the four relations. The bisimulation lattice of asynchronous chi processes and that of asymmetric chi processes are also investigated. It turns out that the former consists of two elements while the latter twelve elements. Finally it is pointed out that the asynchronous asymmetric chi calculus has a bisimulation lattice of eight elements


Normal Form Operational Semantic Congruence Relation Label Transition System Process Algebra 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1998

Authors and Affiliations

  • Yuxi Fu
    • 1
  1. 1.Department of Computer ScienceShanghai Jiaotong UniversityShanghaiChina

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