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Timed session types

We propose an extension of binary session types, to formalise timed communication protocols between two participants at the endpoints of a session. We introduce a decidable compliance relation, which generalises to the timed setting the usual progress-based notion of compliance between untimed session types. We then show a sound and complete technique to decide when a timed session type admits a compliant one, and if so, to construct the least session type compliant with a given one, according to the subtyping preorder induced by compliance. Decidability of subtyping follows from these results.

We exploit our theory to design and implement a message-oriented middleware, where distributed modules with compliant protocols can be dynamically composed, and their communications monitored, so to guarantee safe interactions.

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Acknowledgements

This research has been partially supported by the following projects:
  • Autonomous Region of Sardinia grant L.R.7/2007 CRP-17285 TRICS
  • Autonomous Region of Sardinia P.I.A. 2010 Social Glue
  • MIUR PRIN 2010-11 project Security Horizons
  • EU COST Action IC1201 "Behavioural Types for Reliable Large-Scale Software Systems" (BETTY).