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We provide a characterisation of strong bisimilarity in a fragment of CCSthat contains only prefix, parallel composition, synchronisation and a limitedform of replication. The characterisation is not an axiomatisation, but isinstead presented as a rewriting system. We discuss how our method allows us toderive a new congruence result in the $\pi$-calculus: congruence holds in thesub-calculus that does not include restriction nor sum, and features a limitedform of replication. We have not formalised the latter result in all details.

On characterising strong bisimilarity in a fragment of CCS with replication