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π-calculus, Session Types research at Imperial College

On Polymorphic Sessions And Functions: A Talk of Two (Fully Abstract) Encodings
Bernardo TONINHO , Nobuko YOSHIDA
To appear in
27th European Symposium on Programming (ESOP 2018)

This work exploits the logical foundation of session types to determine what kind of type discipline for the π-calculus can exactly capture, and is captured by, λ-calculus behaviours. Leveraging the proof theoretic content of the soundness and completeness of sequent calculus and natural deduction presentations of linear logic, we develop the first mutually inverse and fully abstract processes-as-functions and functions-as-processes encodings between a polymorphic session π-calculus and a linear formulation of System F. We are then able to derive results of the session calculus from the theory of the λ-calculus: (1) we obtain a characterisation of inductive and coinductive session types via their algebraic representations in System F; and (2) we extend our results to account for value and process passing, entailing strong normalisation.

@inproceedings{TY2018,
  author = {Bernardo Toninho and Nobuko Yoshida},
  title = {{On Polymorphic Sessions And Functions: A Talk of Two (Fully Abstract) Encodings}},
  booktitle = {27th European Symposium on Programming},
  series = {LNCS},
  pages = {1--54},
  publisher = {Springer},
  year = 2018
}
@inproceedings{TY2018,
  author = {Bernardo Toninho and Nobuko Yoshida},
  title = {{On Polymorphic Sessions And Functions: A Talk of Two (Fully Abstract) Encodings}},
  booktitle = {27th European Symposium on Programming},
  series = {LNCS},
  pages = {1--54},
  publisher = {Springer},
  year = 2018
}