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An extensible approach to session polymorphism

Published online by Cambridge University Press:  23 February 2015

MATTHEW GOTO
Affiliation:
School of Computing, DePaul University, 243 S. Wabash Ave. Chicago, IL 60604, U.S.A. Emails: mattgoto@gmail.com, rjagadeesan@cs.depaul.edu, cpitcher@cs.depaul.edu, jriely@cs.depaul.edu
RADHA JAGADEESAN
Affiliation:
School of Computing, DePaul University, 243 S. Wabash Ave. Chicago, IL 60604, U.S.A. Emails: mattgoto@gmail.com, rjagadeesan@cs.depaul.edu, cpitcher@cs.depaul.edu, jriely@cs.depaul.edu
ALAN JEFFREY
Affiliation:
Alcatel-Lucent Bell Labs, 1960 Lucent Lane, Naperville, IL 60563, U.S.A. Email: ajeffrey@bell-labs.com
CORIN PITCHER
Affiliation:
School of Computing, DePaul University, 243 S. Wabash Ave. Chicago, IL 60604, U.S.A. Emails: mattgoto@gmail.com, rjagadeesan@cs.depaul.edu, cpitcher@cs.depaul.edu, jriely@cs.depaul.edu
JAMES RIELY
Affiliation:
School of Computing, DePaul University, 243 S. Wabash Ave. Chicago, IL 60604, U.S.A. Emails: mattgoto@gmail.com, rjagadeesan@cs.depaul.edu, cpitcher@cs.depaul.edu, jriely@cs.depaul.edu

Abstract

Session types describe and constrain the input/output behaviour of systems. Existing session typing systems have limited support for polymorphism. For example, existing systems cannot provide the most general type for a generic proxy process that forwards messages between two channels. We provide a polymorphic session typing system for the π calculus, and demonstrate the utility of session-type-level functions in combination with polymorphic session typing. The type system guarantees subject reduction and safety properties, but not deadlock freedom. We describe a formalization of the type system in Coq. The proofs of subject reduction and safety properties, as well as typing of example processes, have been mechanically verified.

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Copyright
Copyright © Cambridge University Press 2015 

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Footnotes

This material is based upon the work supported by the National Science Foundation under Grant No. 0916741.

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