## Abstract

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.

Original language | English |
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Journal | Journal of Logical and Algebraic Methods in Programming |

Volume | 104 |

Pages (from-to) | 227-253 |

Number of pages | 27 |

ISSN | 2352-2208 |

DOIs | |

Publication status | Published - 2019 |

## Keywords

- Asynchronous transition systems
- Causality
- Early semantics
- Non-interleaving
- Pi-calculus
- Stability