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A List of Successes That Can Change the World pp 95–108Cite as

Subtyping Supports Safe Session Substitution

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Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 9600))

Abstract

Session types describe the structure of bi-directional point-to-point communication channels by specifying the sequence and format of messages on each channel. A session type defines a communication protocol. Type systems that include session types are able to statically verify that communication-based code generates, and responds to, messages according to a specified protocol. It is natural to consider subtyping for session types, but the literature contains conflicting definitions. It is now folklore that one definition is based on safe substitutability of channels, while the other is based on safe substitutability of processes. We explain this point in more detail, and show how to unify the two views.

S.J. Gay—Supported by EPSRC (EP/K034413/1 “From Data Types to Session Types: A Basis for Concurrency and Distribution” and EP/L00058X/1 “Exploiting Parallelism through Type Transformations for Hybrid Manycore Systems”) and COST Action IC1201 “Behavioural Types for Reliable Large-Scale Software Systems”.

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Notes

  1. 1.

    See also Dardha’s (2014) PhD thesis.

References

  • Carbone, M., Honda, K., Yoshida, N.: Structured communication-centred programming for web services. In: De Nicola, R. (ed.) ESOP 2007. LNCS, vol. 4421, pp. 2–17. Springer, Heidelberg (2007). http://dx.doi.org/10.1007/978-3-540-71316-6/_2

    Chapter  Google Scholar 

  • Castagna, G., Dezani-Ciancaglini, M., Giachino, E., Padovani, L.: Foundations of session types. In: Proceedings of the 11th International ACM SIGPLAN Symposium on Principles and Practice of Declarative Programming (PPDP), pp. 219–230. ACM (2009). http://doi.acm.org/10.1145/1599410.1599437

  • Chen, T., Dezani-Ciancaglini, M., Yoshida, N.: On the preciseness of subtyping in session types. In: Proceedings of the 16th International ACM SIGPLAN Symposium on Principles and Practice of Declarative Programming (PPDP), pp. 135–146. ACM (2014). http://doi.acm.org/10.1145/2643135.2643138

  • Dardha, O.: Type Systems for Distributed Programs: Components and Sessions. Ph.D. thesis, University of Bologna (2014). https://tel.archives-ouvertes.fr/tel-01020998

  • Dardha, O., Giachino, E., Sangiorgi, D.: Session types revisited. In: Proceedings of the 14th International ACM SIGPLAN Symposium on Principles and Practice of Declarative Programming (PPDP), pp. 139–150. ACM (2012)

    Google Scholar 

  • Demangeon, R., Honda, K.: Full abstraction in a subtyped pi-calculus with linear types. In: Katoen, J.-P., König, B. (eds.) CONCUR 2011. LNCS, vol. 6901, pp. 280–296. Springer, Heidelberg (2011). http://dx.doi.org/10.1007/978-3-642-23217-6_19

    Chapter  Google Scholar 

  • Frisch, A., Castagna, G., Benzaken, V.: Semantic subtyping. In: Proceedings of the 17th IEEE Symposium on Logic in Computer Science (LICS), pp. 137–146. IEEE (2002). http://dx.doi.org/10.1109/LICS.2002.1029823

  • Gay, S.J.: Bounded polymorphism in session types. Math. Struct. Comput. Sci. 18(5), 895–930 (2008). http://dx.doi.org/10.1017/S0960129508006944

    Article  MathSciNet  MATH  Google Scholar 

  • Gay, S.J., Hole, M.: Types and subtypes for client-server interactions. In: Swierstra, S.D. (ed.) ESOP 1999. LNCS, vol. 1576, pp. 74–90. Springer, Heidelberg (1999)

    Chapter  Google Scholar 

  • Gay, S.J., Hole, M.J.: Subtyping for session types in the pi calculus. Acta Informatica 42(2/3), 191–225 (2005)

    Article  MathSciNet  MATH  Google Scholar 

  • Honda, K., Yoshida, N., Carbone, M.: Multiparty asynchronous session types. In: Proceedings of the 35th ACM SIGPLAN-SIGACT Symposium on Principles of Programming Languages (POPL), pp. 273–284. ACM (2008)

    Google Scholar 

  • Honda, K.: Types for dyadic interaction. In: Best, E. (ed.) CONCUR 1993. LNCS, vol. 715, pp. 509–523. Springer, Heidelberg (1993)

    Google Scholar 

  • Honda, K., Vasconcelos, V.T., Kubo, M.: Language primitives and type discipline for structured communication-based programming. In: Hankin, C. (ed.) ESOP 1998. LNCS, vol. 1381, pp. 122–138. Springer, Heidelberg (1998)

    Chapter  Google Scholar 

  • Kobayashi, N.: Type systems for concurrent programs. In: Aichernig, B.K. (ed.) Formal Methods at the Crossroads. From Panacea to Foundational Support. LNCS, vol. 2757, pp. 439–453. Springer, Heidelberg (2003). http://www.kb.ecei.tohoku.ac.jp/~koba/papers/tutorial-type-extended.pdf

    Google Scholar 

  • Kobayashi, N., Pierce, B.C., Turner, D.N.: Linearity and the pi-calculus. ACM Trans. Program. Lang. Syst. 21(5), 914–947 (1999)

    Article  Google Scholar 

  • Liskov, B., Wing, J.M.: A behavioral notion of subtyping. ACM Trans. Program. Lang. Syst. 16(6), 1811–1841 (1994)

    Article  Google Scholar 

  • Mostrous, D., Yoshida, N.: Two session typing systems for higher-order mobile processes. In: Della Rocca, S.R. (ed.) TLCA 2007. LNCS, vol. 4583, pp. 321–335. Springer, Heidelberg (2007). http://dx.doi.org/10.1007/978-3-540-73228-0_23

    Chapter  Google Scholar 

  • Mostrous, D., Yoshida, N.: Session typing and asynchronous subtyping for the higher-order \(\pi \)-calculus. Inf. Comput. 241, 227–263 (2015). http://dx.doi.org/10.1016/j.ic.2015.02.002

    Article  MathSciNet  MATH  Google Scholar 

  • Pierce, B.C., Sangiorgi, D.: Typing and subtyping for mobile processes. Math. Struct. Comput. Sci. 6(5), 409–454 (1996)

    MathSciNet  MATH  Google Scholar 

  • Pierce, B.C.: Types and Programming Languages. MIT Press, Cambridge (2002)

    MATH  Google Scholar 

  • Sangiorgi, D., Walker, D.: The \(\pi \)-Calculus: A Theory of Mobile Processes. Cambridge University Press, Cambridge (2001)

    MATH  Google Scholar 

  • Takeuchi, K., Honda, K., Kubo, M.: An interaction-based language and its typing system. In: Halatsis, C., Philokyprou, G., Maritsas, D., Theodoridis, S. (eds.) PARLE 1994. LNCS, vol. 817, pp. 398–413. Springer, Heidelberg (1994)

    Chapter  Google Scholar 

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Acknowledgements

I am grateful to Nobuko Yoshida for discussion of the origin of the Honda et al. definition of subtyping, and to the anonymous referees for their comments.

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  1. School of Computing Science, University of Glasgow, Glasgow, UK

    Simon J. Gay

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  1. Simon J. Gay
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Correspondence to Simon J. Gay .

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  1. Informatics Forum, University of Edinburgh Informatics Forum, Edinburgh, United Kingdom

    Sam Lindley

  2. University of Strathclyde , Glasgow, United Kingdom

    Conor McBride

  3. University of Glasgow , Glasgow, United Kingdom

    Phil Trinder

  4. Informatics Forum, University of Edinburgh Informatics Forum, Edinburgh, United Kingdom

    Don Sannella

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Gay, S.J. (2016). Subtyping Supports Safe Session Substitution. In: Lindley, S., McBride, C., Trinder, P., Sannella, D. (eds) A List of Successes That Can Change the World. Lecture Notes in Computer Science(), vol 9600. Springer, Cham. https://doi.org/10.1007/978-3-319-30936-1_5

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  • DOI: https://doi.org/10.1007/978-3-319-30936-1_5

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  • Online ISBN: 978-3-319-30936-1

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