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This paper provides both a fully abstract (domain-theoretic) model for the π-calculus and a universal (set-theoretic) model for the finite π-calculus with respect to strong late bisimulation and congruence. This is done by: considering categorical models, defining a metalanguage for these models, and translating the π-calculus into the metalanguage. A technical novelty of our approach is an abstract proof of full abstraction: The result on full abstraction for the finite π-calculus in the set-theoretic model is axiomatically extended to the whole π-calculus with respect to the domain-theoretic interpretation. In this proof, a central role is played by the description of non-determinism as a free construction and by the equational theory of the metalanguage
@InProceedings{FioreMoggiSangiorgi-AFullyAbstractModel,
author = {Marcelo P. Fiore and Eugenio Moggi and Davide Sangiorgi},
title = {A Fully-Abstract Model for the pi-calculus (Extended Abstract)},
booktitle = {Proceedings of the Eleventh Annual IEEE Symposium on Logic in Computer Science (LICS 1996)},
year = {1996},
month = {July},
pages = {43--54},
location = {New Brunswick, NJ, USA},
publisher = {IEEE Computer Society Press}
}