Context-Free Session Types for Applied Pi-Calculus

Jens Aagaard‐Hansen, Hans Hüttel, Mathias Jakobsen, Mikkel Klinke Kettunen · Electronic Proceedings in Theoretical Computer Science · 2018

We present a binary session type system using context-free session types to a version of the applied pi-calculus of Abadi et. al. where only base terms, constants and channels can be sent. Session types resemble process terms from BPA and we use a version of bisimulation equivalence to characterize type equivalence. We present a quotiented type system defined on type equivalence classes for which type equivalence is built into the type system. Both type systems satisfy general soundness properties; this is established by an appeal to a generic session type system for psi-calculi.

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