Sessions as Propositions

@inproceedings{Lindley2014SessionsAP,
  title={Sessions as Propositions},
  author={Sam Lindley and J. Garrett Morris},
  booktitle={PLACES},
  year={2014}
}
Recently, Wadler presented a continuation-passing translation from a session-typed functional language, GV, to a process calculus based on classical linear logic, CP. However, this translation is one-way: CP is more expressive than GV. We propose an extension of GV, called HGV, and give translations showing that it is as expressive as CP. The new translations shed light both on the original translation from GV to CP, and on the limitations in expressiveness of GV. 
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We extend a propositions-as-types correspondence between linear logic and session types to include recursive sessions. Our extension takes least and greatest fixed points as dual, an idea well-known…

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This work discusses the integration of row types and session types in a concurrent functional programming language, and how row types can be used to describe extensibility in session-typed communication.

Linear λμ is CP (more or less)

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Propositions as sessions

  • P. Wadler
  • Computer Science
    Journal of Functional Programming
  • 2014
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Fiftieth volume of theoretical computer science