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We present a proof system for determining satisfaction between processes in a fairly general process algebra and assertions of the modal μ-calculus. The proof system is compositional in the structure of processes. It extends earlier work on compositional reasoning within the modal μ-calculus and combines it with techniques from work on local model checking. The proof system is sound for all processes and complete for a class of finite-state processes
@InProceedings{AndersenStirlingWin-Acompositionalproof,
author = {Henrik R. Andersen and Colin Stirling and Glynn Winskel},
title = {A compositional proof system for the modal μ-calculus},
booktitle = {Proceedings of the Ninth Annual IEEE Symposium on Logic in Computer Science (LICS 1994)},
year = {1994},
month = {July},
pages = {144--153},
location = {Paris, France},
publisher = {IEEE Computer Society Press}
}