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Inference systems for observation equivalences in the π-calculus

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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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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

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