Asynchronous session subtyping as communicating automata refinement

Mario Bravetti (1, 2) , Gianluigi Zavattaro (1, 2)

1 UNIBO - Alma Mater Studiorum Università di Bologna = University of Bologna
2 FOCUS - Foundations of Component-based Ubiquitous Systems

We study the relationship between session types and behavioural contracts, representing Communicating Finite State Machines (CFSMs), under the assumption that processes communicate asynchronously. Session types represent a syntax-based approach for the description of communication protocols, while behavioural contracts, formally expressing CFSMs, follow an operational approach. We show the existence of a fully abstract interpretation of session types into a fragment of contracts that maps session subtyping into binary compliance-preserving CFSMs/behavioural contract refinement. In this way, on the one hand, we enrich the theory of session types with an operational characterization and, on the other hand, we use recent undecidability results for asynchronous session subtyping to obtain an original undecidability result for asynchronous CFSMs/behavioural contract refinement.

Mots clés: Session types; Behavioural contracts; Communicating finite-state machines

Domaines: Informatique [cs]

Mario Bravetti, Gianluigi Zavattaro. Asynchronous session subtyping as communicating automata refinement. Software and Systems Modeling, 2021, 20, pp.311 - 333. ⟨10.1007/s10270-020-00838-x⟩. ⟨hal-03340699⟩