Abstract
Inference systems for observation equivalences in the pi-calculus with recursion are proposed, and their completeness over the finite-control fragment with guarded recursions are proven. The inference systems consist of inference rules and equational axioms. The judgments are conditional equations which characterise symbolic bisimulations between process terms. This result on the one hand generalises Milner’s complete axiomatisation of observation equivalence for regular CCS to the pi-calculus, and on the other hand extends the proof systems of strong bisimulations for guarded regular pi-calculus to observation equivalences.
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References
Milner, R., Parrow, J., Walker, D., A calculus of mobile processes, part I, II,Information and Computation, 1992, 100: 1.
Parrow, J., Sangiorgi, D., Algebraic theories for name-passing calculi,Information and Computation, 1995, 120: 174.
Boreale, M., De Nicola, R., A symbolic semantics for the π-calculus,Information and Computation, 1996, 126: 34.
Lin, H., Axiomatisation of bisimulations in mobile processes,Advances in Theoretical Computer Science (in Chinese), 1994, 1: 1.
Lin, H., Complete inference systems for weak bisimulation equivalences in the π-calculus,LNCS, Berlin: Springer-Verlag, 1995, 915: 187.
Lin, H., Unique fixpoint induction for mobile processes,LNCS, Berlin: Springer-Verlag, 1995, 962: 88.
Dam, M., Model checking mobile processes,Information and Computation, 1996, 129: 35.
Hennessy, M., Lin, H., Symbolic bisimulations,Theoretical Computer Science, 1995, 138: 353.
Milner, R., A complete axiomatisation for observational congruence of finite-state behaviours,Information and Computation, 1989, 81: 227.
Lin, H., On removing unguarded recursions in the π-calculus,Journal of Software (in Chinese), 1997, 8: 321.
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Project supported by the National Natural Science Foundation of China (Grant No. 69683003) and the Chinese Academy of Sciences.
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Lin, H. Inference systems for observation equivalences in the π-calculus. Sci. China Ser. E-Technol. Sci. 42, 657–669 (1999). https://doi.org/10.1007/BF02917004
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DOI: https://doi.org/10.1007/BF02917004