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We investigate the use of unique fixpoint induction as a proof method for value-passing process languages with recursion. An intuitive generalization of unique fixpoint induction based on loop invariants for symbolic graphs yields strong completeness results; we give an axiomatic characterization of both late and early observational congruence for a class of fully parameterised processes. This new, generalised, rule is shown to be derivable from existing formulations of unique fixpoint induction for value-passing calculi, thereby providing original completeness results. An example of the use of this new rule is presented in detail.
@InProceedings{Rathke-UniqueFixpointInduc,
author = {Julian Rathke},
title = {Unique Fixpoint Induction for Value-Passing Processes},
booktitle = {Proceedings of the Twelfth Annual IEEE Symposium on Logic in Computer Science (LICS 1997)},
year = {1997},
month = {June},
pages = {140--148},
location = {Warsaw, Poland},
publisher = {IEEE Computer Society Press}
}