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    This article has been cited by the following publications. This list is generated based on data provided by CrossRef.
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    Silva, Miguel Florido, Mário and Pfenning, Frank 2017. Non-Blocking Concurrent Imperative Programming with Session Types. Electronic Proceedings in Theoretical Computer Science, Vol. 238, Issue. , p. 64.
    Lange, Julien Ng, Nicholas Toninho, Bernardo and Yoshida, Nobuko 2017. Fencing off go: liveness and safety for channel-based programming. p. 748.
    Igarashi, Atsushi Thiemann, Peter Vasconcelos, Vasco T. and Wadler, Philip 2017. Gradual session types. Proceedings of the ACM on Programming Languages, Vol. 1, Issue. ICFP, p. 1.
    Dardha, Ornela and Pérez, Jorge A. 2015. Comparing Deadlock-Free Session Typed Processes. Electronic Proceedings in Theoretical Computer Science, Vol. 190, Issue. , p. 1.
    Pérez, Jorge A. Caires, Luís Pfenning, Frank and Toninho, Bernardo 2014. Linear logical relations and observational equivalences for session-based concurrency. Information and Computation, Vol. 239, Issue. , p. 254.
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Linear logic propositions as session types

  • LUÍS CAIRES (a1), FRANK PFENNING (a2) and BERNARDO TONINHO (a1) (a2)
Abstract

Throughout the years, several typing disciplines for the π-calculus have been proposed. Arguably, the most widespread of these typing disciplines consists of session types. Session types describe the input/output behaviour of processes and traditionally provide strong guarantees about this behaviour (i.e. deadlock-freedom and fidelity). While these systems exploit a fundamental notion of linearity, the precise connection between linear logic and session types has not been well understood.

This paper proposes a type system for the π-calculus that corresponds to a standard sequent calculus presentation of intuitionistic linear logic, interpreting linear propositions as session types and thus providing a purely logical account of all key features and properties of session types. We show the deep correspondence between linear logic and session types by exhibiting a tight operational correspondence between cut-elimination steps and process reductions. We also discuss an alternative presentation of linear session types based on classical linear logic, and compare our development with other more traditional session type systems.

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COPYRIGHT: © Cambridge University Press 2014 
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Mathematical Structures in Computer Science
  • ISSN: 0960-1295
  • EISSN: 1469-8072
  • URL: /core/journals/mathematical-structures-in-computer-science
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