A stable non-interleaving early operational semantics for the pi-calculus

• Published in: Journal of logical and algebraic methods in programming Vol. 104; pp. 227 - 253
• Main Authors: Hildebrandt, Thomas Troels, Johansen, Christian, Normann, Håkon
• Format: Journal Article
• Language: English
• Published: Elsevier Inc 01.04.2019
• Subjects: Asynchronous transition systems; Causality; Early semantics; Non-interleaving; Pi-calculus; Stability; Non-interleaving; Pi-calculus; Stability; Early semantics; Causality; Asynchronous transition systems
• ISSN: 2352-2208
• DOI: 10.1016/j.jlamp.2019.02.006

We give the first non-interleaving early operational semantics for the pi-calculus which generalises the standard interleaving semantics and unfolds to the stable model of prime event structures. Our starting point is the non-interleaving semantics given for CCS by Mukund and Nielsen, where the so-called structural (prefixing or subject) causality and events are defined from a notion of locations derived from the syntactic structure of the process terms. We conservatively extend this semantics with a notion of extruder histories, from which we infer the so-called link (name or object) causality and events introduced by the dynamic communication topology of the pi-calculus. We prove that the semantics generalises both the standard interleaving early semantics for the pi-calculus and the non-interleaving semantics for CCS. In particular, it gives rise to a labelled asynchronous transition system unfolding to prime event structures.