Computer Science Department
School of Computer Science, Carnegie Mellon University


Dependent Session Types via
Intuitionistic Linear Type Theory

Bernardo Toninho, Luis Caires, Frank Pfenning

December 2011


Keywords: Type theory, dependent types, session types, π-calculus

We develop an interpretation of linear type theory as dependent session types for a term passing extension of the π-calculus. The type system allows us to express rich constraints on sessions, such as interface contracts and proof-carrying certification, which go beyond existing session type systems, and are here justified on purely logical grounds. We can further refine our interpretation using proof irrelevance to eliminate communication overhead for proofs between trusted parties. Our technical results include type preservation and global progress, which in our setting naturally imply compliance to all properties declared in interface contracts expressed by dependent types.

46 pages

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