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arXiv · 2510.24206

Unique Solutions of Guarded Recursive Equations

Rob van Glabbeek
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Abstract

This paper shows that guarded systems of recursive equations have unique solutions up to strong bisimilarity for any process algebra with a structural operation semantics in the ready simulation format. A similar result holds for simulation equivalence, for ready simulation equivalence and for the (ready) simulation preorder. As a consequence, these equivalences and preorders are full (pre)congruences for guarded recursion. Moreover, the unique-solutions result yields a sound and ground-complete axiomatisation of strong bisimilarity for any finitary GSOS language.

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Rob van Glabbeek. 2025-10-28. Unique Solutions of Guarded Recursive Equations. https://doi.org/10.4204/eptcs.433.6

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