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Generalising Projection in Asynchronous Multiparty Session Types

Authors Rupak Majumdar, Madhavan Mukund, Felix Stutz , Damien Zufferey

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Author Details

Rupak Majumdar
  • Max Planck Institute for Software Systems, Kaiserslautern, Germany
Madhavan Mukund
  • Chennai Mathematical Institute, India
  • CNRS IRL 2000, ReLaX, Chennai, India
Felix Stutz
  • Max Planck Institute for Software Systems, Kaiserslautern, Germany
Damien Zufferey
  • Max Planck Institute for Software Systems, Kaiserslautern, Germany

Funding

This research was funded in part by the Deutsche Forschungsgemeinschaft project 389792660-TRR 248 and by the European Research Council under ERC Synergy Grant ImPACT (610150).

Acknowledgements

The authors would like to thank Nobuko Yoshida, Thomas Wies, Elaine Li, and the anonymous reviewers for their feedback and suggestions.

Cite As Get BibTex

Rupak Majumdar, Madhavan Mukund, Felix Stutz, and Damien Zufferey. Generalising Projection in Asynchronous Multiparty Session Types. In 32nd International Conference on Concurrency Theory (CONCUR 2021). Leibniz International Proceedings in Informatics (LIPIcs), Volume 203, pp. 35:1-35:24, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2021) https://doi.org/10.4230/LIPIcs.CONCUR.2021.35

Abstract

Multiparty session types (MSTs) provide an efficient methodology for specifying and verifying message passing software systems. In the theory of MSTs, a global type specifies the interaction among the roles at the global level. A local specification for each role is generated by projecting from the global type on to the message exchanges it participates in. Whenever a global type can be projected on to each role, the composition of the projections is deadlock free and has exactly the behaviours specified by the global type. The key to the usability of MSTs is the projection operation: a more expressive projection allows more systems to be type-checked but requires a more difficult soundness argument.
In this paper, we generalise the standard projection operation in MSTs. This allows us to model and type-check many design patterns in distributed systems, such as load balancing, that are rejected by the standard projection. The key to the new projection is an analysis that tracks causality between messages. Our soundness proof uses novel graph-theoretic techniques from the theory of message-sequence charts. We demonstrate the efficacy of the new projection operation by showing many global types for common patterns that can be projected under our projection but not under the standard projection operation.

Subject Classification

ACM Subject Classification
  • Theory of computation → Concurrency
Keywords
  • Multiparty session types
  • Verification
  • Communicating state machines

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References

  1. Prototype Implementation of Generalised Projection for Multiparty Session Types. URL: https://gitlab.mpi-sws.org/fstutz/async-mpst-gen-choice/.
  2. Parosh Aziz Abdulla, Ahmed Bouajjani, and Bengt Jonsson. On-the-fly analysis of systems with unbounded, lossy FIFO channels. In Alan J. Hu and Moshe Y. Vardi, editors, Computer Aided Verification, 10th International Conference, CAV'98, Vancouver, BC, Canada, June 28 - July 2, 1998, Proceedings, volume 1427 of Lecture Notes in Computer Science, pages 305-318. Springer, 1998. URL: https://doi.org/10.1007/BFb0028754.
  3. Rajeev Alur, Kousha Etessami, and Mihalis Yannakakis. Realizability and verification of MSC graphs. Theor. Comput. Sci., 331(1):97-114, 2005. URL: https://doi.org/10.1016/j.tcs.2004.09.034.
  4. Davide Ancona, Viviana Bono, Mario Bravetti, Joana Campos, Giuseppe Castagna, Pierre-Malo Deniélou, Simon J. Gay, Nils Gesbert, Elena Giachino, Raymond Hu, Einar Broch Johnsen, Francisco Martins, Viviana Mascardi, Fabrizio Montesi, Rumyana Neykova, Nicholas Ng, Luca Padovani, Vasco T. Vasconcelos, and Nobuko Yoshida. Behavioral types in programming languages. Found. Trends Program. Lang., 3(2-3):95-230, 2016. URL: https://doi.org/10.1561/2500000031.
  5. Paul Baker, Paul Bristow, Clive Jervis, David J. King, Robert Thomson, Bill Mitchell, and Simon Burton. Detecting and resolving semantic pathologies in UML sequence diagrams. In Michel Wermelinger and Harald C. Gall, editors, Proceedings of the 10th European Software Engineering Conference held jointly with 13th ACM SIGSOFT International Symposium on Foundations of Software Engineering, 2005, Lisbon, Portugal, September 5-9, 2005, pages 50-59. ACM, 2005. URL: https://doi.org/10.1145/1081706.1081716.
  6. Franco Barbanera, Ivan Lanese, and Emilio Tuosto. Choreography automata. In Simon Bliudze and Laura Bocchi, editors, Coordination Models and Languages - 22nd IFIP WG 6.1 International Conference, COORDINATION 2020, Held as Part of the 15th International Federated Conference on Distributed Computing Techniques, DisCoTec 2020, Valletta, Malta, June 15-19, 2020, Proceedings, volume 12134 of Lecture Notes in Computer Science, pages 86-106. Springer, 2020. URL: https://doi.org/10.1007/978-3-030-50029-0_6.
  7. Hanêne Ben-Abdallah and Stefan Leue. Syntactic detection of process divergence and non-local choice inmessage sequence charts. In Ed Brinksma, editor, Tools and Algorithms for Construction and Analysis of Systems, Third International Workshop, TACAS '97, Enschede, The Netherlands, April 2-4, 1997, Proceedings, volume 1217 of Lecture Notes in Computer Science, pages 259-274. Springer, 1997. URL: https://doi.org/10.1007/BFb0035393.
  8. Laura Bocchi, Maurizio Murgia, Vasco Thudichum Vasconcelos, and Nobuko Yoshida. Asynchronous timed session types - from duality to time-sensitive processes. In Luís Caires, editor, Programming Languages and Systems - 28th European Symposium on Programming, ESOP 2019, Held as Part of the European Joint Conferences on Theory and Practice of Software, ETAPS 2019, Prague, Czech Republic, April 6-11, 2019, Proceedings, volume 11423 of Lecture Notes in Computer Science, pages 583-610. Springer, 2019. URL: https://doi.org/10.1007/978-3-030-17184-1_21.
  9. Benedikt Bollig, Alain Finkel, and Amrita Suresh. Bounded reachability problems are decidable in FIFO machines. In Igor Konnov and Laura Kovács, editors, 31st International Conference on Concurrency Theory, CONCUR 2020, September 1-4, 2020, Vienna, Austria (Virtual Conference), volume 171 of LIPIcs, pages 49:1-49:17. Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2020. URL: https://doi.org/10.4230/LIPIcs.CONCUR.2020.49.
  10. Daniel Brand and Pitro Zafiropulo. On communicating finite-state machines. J. ACM, 30(2):323-342, 1983. URL: https://doi.org/10.1145/322374.322380.
  11. Mario Bravetti, Marco Carbone, and Gianluigi Zavattaro. On the boundary between decidability and undecidability of asynchronous session subtyping. Theor. Comput. Sci., 722:19-51, 2018. URL: https://doi.org/10.1016/j.tcs.2018.02.010.
  12. Luís Caires and Jorge A. Pérez. Multiparty session types within a canonical binary theory, and beyond. In Elvira Albert and Ivan Lanese, editors, Formal Techniques for Distributed Objects, Components, and Systems - 36th IFIP WG 6.1 International Conference, FORTE 2016, Held as Part of the 11th International Federated Conference on Distributed Computing Techniques, DisCoTec 2016, Heraklion, Crete, Greece, June 6-9, 2016, Proceedings, volume 9688 of Lecture Notes in Computer Science, pages 74-95. Springer, 2016. URL: https://doi.org/10.1007/978-3-319-39570-8_6.
  13. Luís Caires, Frank Pfenning, and Bernardo Toninho. Linear logic propositions as session types. Math. Struct. Comput. Sci., 26(3):367-423, 2016. URL: https://doi.org/10.1017/S0960129514000218.
  14. Marco Carbone, Sam Lindley, Fabrizio Montesi, Carsten Schürmann, and Philip Wadler. Coherence generalises duality: A logical explanation of multiparty session types. In Josée Desharnais and Radha Jagadeesan, editors, 27th International Conference on Concurrency Theory, CONCUR 2016, August 23-26, 2016, Québec City, Canada, volume 59 of LIPIcs, pages 33:1-33:15. Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2016. URL: https://doi.org/10.4230/LIPIcs.CONCUR.2016.33.
  15. Marco Carbone, Fabrizio Montesi, Carsten Schürmann, and Nobuko Yoshida. Multiparty session types as coherence proofs. Acta Informatica, 54(3):243-269, 2017. URL: https://doi.org/10.1007/s00236-016-0285-y.
  16. Giuseppe Castagna, Mariangiola Dezani-Ciancaglini, and Luca Padovani. On global types and multi-party session. Log. Methods Comput. Sci., 8(1), 2012. URL: https://doi.org/10.2168/LMCS-8(1:24)2012.
  17. Ilaria Castellani, Mariangiola Dezani-Ciancaglini, and Paola Giannini. Reversible sessions with flexible choices. Acta Informatica, 56(7-8):553-583, 2019. URL: https://doi.org/10.1007/s00236-019-00332-y.
  18. Ilaria Castellani, Mariangiola Dezani-Ciancaglini, Paola Giannini, and Ross Horne. Global types with internal delegation. Theor. Comput. Sci., 807:128-153, 2020. URL: https://doi.org/10.1016/j.tcs.2019.09.027.
  19. Gérard Cécé and Alain Finkel. Verification of programs with half-duplex communication. Inf. Comput., 202(2):166-190, 2005. URL: https://doi.org/10.1016/j.ic.2005.05.006.
  20. Tzu-Chun Chen, Mariangiola Dezani-Ciancaglini, Alceste Scalas, and Nobuko Yoshida. On the preciseness of subtyping in session types. Log. Methods Comput. Sci., 13(2), 2017. URL: https://doi.org/10.23638/LMCS-13(2:12)2017.
  21. Tzu-Chun Chen, Mariangiola Dezani-Ciancaglini, and Nobuko Yoshida. On the preciseness of subtyping in session types. In Olaf Chitil, Andy King, and Olivier Danvy, editors, Proceedings of the 16th International Symposium on Principles and Practice of Declarative Programming, Kent, Canterbury, United Kingdom, September 8-10, 2014, pages 135-146. ACM, 2014. URL: https://doi.org/10.1145/2643135.2643138.
  22. Haitao Dan, Robert M. Hierons, and Steve Counsell. Non-local choice and implied scenarios. In José Luiz Fiadeiro, Stefania Gnesi, and Andrea Maggiolo-Schettini, editors, 8th IEEE International Conference on Software Engineering and Formal Methods, SEFM 2010, Pisa, Italy, 13-18 September 2010, pages 53-62. IEEE Computer Society, 2010. URL: https://doi.org/10.1109/SEFM.2010.14.
  23. Ankush Das, Stephanie Balzer, Jan Hoffmann, and Frank Pfenning. Resource-aware session types for digital contracts. CoRR, abs/1902.06056, 2019. URL: http://arxiv.org/abs/1902.06056.
  24. Pierre-Malo Deniélou and Nobuko Yoshida. Multiparty session types meet communicating automata. In Helmut Seidl, editor, Programming Languages and Systems - 21st European Symposium on Programming, ESOP 2012, Held as Part of the European Joint Conferences on Theory and Practice of Software, ETAPS 2012, Tallinn, Estonia, March 24 - April 1, 2012. Proceedings, volume 7211 of Lecture Notes in Computer Science, pages 194-213. Springer, 2012. URL: https://doi.org/10.1007/978-3-642-28869-2_10.
  25. Pierre-Malo Deniélou, Nobuko Yoshida, Andi Bejleri, and Raymond Hu. Parameterised multiparty session types. Log. Methods Comput. Sci., 8(4), 2012. URL: https://doi.org/10.2168/LMCS-8(4:6)2012.
  26. Manuel Fähndrich, Mark Aiken, Chris Hawblitzel, Orion Hodson, Galen C. Hunt, James R. Larus, and Steven Levi. Language support for fast and reliable message-based communication in singularity OS. In Yolande Berbers and Willy Zwaenepoel, editors, Proceedings of the 2006 EuroSys Conference, Leuven, Belgium, April 18-21, 2006, pages 177-190. ACM, 2006. URL: https://doi.org/10.1145/1217935.1217953.
  27. Paul Gastin. Infinite traces. In Irène Guessarian, editor, Semantics of Systems of Concurrent Processes, LITP Spring School on Theoretical Computer Science, La Roche Posay, France, April 23-27, 1990, Proceedings, volume 469 of Lecture Notes in Computer Science, pages 277-308. Springer, 1990. URL: https://doi.org/10.1007/3-540-53479-2_12.
  28. Blaise Genest, Anca Muscholl, and Doron A. Peled. Message sequence charts. In Jörg Desel, Wolfgang Reisig, and Grzegorz Rozenberg, editors, Lectures on Concurrency and Petri Nets, Advances in Petri Nets [This tutorial volume originates from the 4th Advanced Course on Petri Nets, ACPN 2003, held in Eichstätt, Germany in September 2003. In addition to lectures given at ACPN 2003, additional chapters have been commissioned], volume 3098 of Lecture Notes in Computer Science, pages 537-558. Springer, 2003. URL: https://doi.org/10.1007/978-3-540-27755-2_15.
  29. Blaise Genest, Anca Muscholl, Helmut Seidl, and Marc Zeitoun. Infinite-state high-level mscs: Model-checking and realizability. J. Comput. Syst. Sci., 72(4):617-647, 2006. URL: https://doi.org/10.1016/j.jcss.2005.09.007.
  30. Jean-Yves Girard. Linear logic. Theor. Comput. Sci., 50:1-102, 1987. URL: https://doi.org/10.1016/0304-3975(87)90045-4.
  31. Loïc Hélouët. Some pathological message sequence charts, and how to detect them. In Rick Reed and Jeanne Reed, editors, SDL 2001: Meeting UML, 10th International SDL Forum Copenhagen, Denmark, June 27-29, 2001, Proceedings, volume 2078 of Lecture Notes in Computer Science, pages 348-364. Springer, 2001. URL: https://doi.org/10.1007/3-540-48213-X_22.
  32. Loïc Hélouët and Claude Jard. Conditions for synthesis of communicating automata from HMSCs. In In 5th International Workshop on Formal Methods for Industrial Critical Systems (FMICS), 2000. Google Scholar
  33. Kohei Honda. Types for dyadic interaction. In Eike Best, editor, CONCUR '93, 4th International Conference on Concurrency Theory, Hildesheim, Germany, August 23-26, 1993, Proceedings, volume 715 of Lecture Notes in Computer Science, pages 509-523. Springer, 1993. URL: https://doi.org/10.1007/3-540-57208-2_35.
  34. Kohei Honda, Eduardo R. B. Marques, Francisco Martins, Nicholas Ng, Vasco Thudichum Vasconcelos, and Nobuko Yoshida. Verification of MPI programs using session types. In Jesper Larsson Träff, Siegfried Benkner, and Jack J. Dongarra, editors, Recent Advances in the Message Passing Interface - 19th European MPI Users' Group Meeting, EuroMPI 2012, Vienna, Austria, September 23-26, 2012. Proceedings, volume 7490 of Lecture Notes in Computer Science, pages 291-293. Springer, 2012. URL: https://doi.org/10.1007/978-3-642-33518-1_37.
  35. Kohei Honda, Vasco Thudichum Vasconcelos, and Makoto Kubo. Language primitives and type discipline for structured communication-based programming. In Chris Hankin, editor, Programming Languages and Systems - ESOP'98, 7th European Symposium on Programming, Held as Part of the European Joint Conferences on the Theory and Practice of Software, ETAPS'98, Lisbon, Portugal, March 28 - April 4, 1998, Proceedings, volume 1381 of Lecture Notes in Computer Science, pages 122-138. Springer, 1998. URL: https://doi.org/10.1007/BFb0053567.
  36. Kohei Honda, Nobuko Yoshida, and Marco Carbone. Multiparty asynchronous session types. In George C. Necula and Philip Wadler, editors, Proceedings of the 35th ACM SIGPLAN-SIGACT Symposium on Principles of Programming Languages, POPL 2008, San Francisco, California, USA, January 7-12, 2008, pages 273-284. ACM, 2008. URL: https://doi.org/10.1145/1328438.1328472.
  37. Kohei Honda, Nobuko Yoshida, and Marco Carbone. Multiparty asynchronous session types. J. ACM, 63(1):9:1-9:67, 2016. URL: https://doi.org/10.1145/2827695.
  38. Raymond Hu and Nobuko Yoshida. Explicit connection actions in multiparty session types. In Marieke Huisman and Julia Rubin, editors, Fundamental Approaches to Software Engineering - 20th International Conference, FASE 2017, Held as Part of the European Joint Conferences on Theory and Practice of Software, ETAPS 2017, Uppsala, Sweden, April 22-29, 2017, Proceedings, volume 10202 of Lecture Notes in Computer Science, pages 116-133. Springer, 2017. URL: https://doi.org/10.1007/978-3-662-54494-5_7.
  39. Hans Hüttel, Ivan Lanese, Vasco T. Vasconcelos, Luís Caires, Marco Carbone, Pierre-Malo Deniélou, Dimitris Mostrous, Luca Padovani, António Ravara, Emilio Tuosto, Hugo Torres Vieira, and Gianluigi Zavattaro. Foundations of session types and behavioural contracts. ACM Comput. Surv., 49(1):3:1-3:36, 2016. URL: https://doi.org/10.1145/2873052.
  40. Sung-Shik Jongmans and Nobuko Yoshida. Exploring type-level bisimilarity towards more expressive multiparty session types. In Peter Müller, editor, Programming Languages and Systems - 29th European Symposium on Programming, ESOP 2020, Held as Part of the European Joint Conferences on Theory and Practice of Software, ETAPS 2020, Dublin, Ireland, April 25-30, 2020, Proceedings, volume 12075 of Lecture Notes in Computer Science, pages 251-279. Springer, 2020. URL: https://doi.org/10.1007/978-3-030-44914-8_10.
  41. Dimitrios Kouzapas, Ramunas Gutkovas, A. Laura Voinea, and Simon J. Gay. A session type system for asynchronous unreliable broadcast communication. CoRR, abs/1902.01353, 2019. URL: http://arxiv.org/abs/1902.01353.
  42. Julien Lange, Emilio Tuosto, and Nobuko Yoshida. From communicating machines to graphical choreographies. In Sriram K. Rajamani and David Walker, editors, Proceedings of the 42nd Annual ACM SIGPLAN-SIGACT Symposium on Principles of Programming Languages, POPL 2015, Mumbai, India, January 15-17, 2015, pages 221-232. ACM, 2015. URL: https://doi.org/10.1145/2676726.2676964.
  43. Julien Lange and Nobuko Yoshida. On the undecidability of asynchronous session subtyping. In Javier Esparza and Andrzej S. Murawski, editors, Foundations of Software Science and Computation Structures - 20th International Conference, FOSSACS 2017, Held as Part of the European Joint Conferences on Theory and Practice of Software, ETAPS 2017, Uppsala, Sweden, April 22-29, 2017, Proceedings, volume 10203 of Lecture Notes in Computer Science, pages 441-457, 2017. URL: https://doi.org/10.1007/978-3-662-54458-7_26.
  44. Julien Lange and Nobuko Yoshida. Verifying asynchronous interactions via communicating session automata. In Isil Dillig and Serdar Tasiran, editors, Computer Aided Verification - 31st International Conference, CAV 2019, New York City, NY, USA, July 15-18, 2019, Proceedings, Part I, volume 11561 of Lecture Notes in Computer Science, pages 97-117. Springer, 2019. URL: https://doi.org/10.1007/978-3-030-25540-4_6.
  45. Markus Lohrey. Realizability of high-level message sequence charts: closing the gaps. Theor. Comput. Sci., 309(1-3):529-554, 2003. URL: https://doi.org/10.1016/j.tcs.2003.08.002.
  46. Rupak Majumdar, Madhavan Mukund, Felix Stutz, and Damien Zufferey. Generalising projection in asynchronous multiparty session types. CoRR, abs/2107.03984, 2021. URL: http://arxiv.org/abs/2107.03984.
  47. Rupak Majumdar, Marcus Pirron, Nobuko Yoshida, and Damien Zufferey. Motion session types for robotic interactions (brave new idea paper). In Alastair F. Donaldson, editor, 33rd European Conference on Object-Oriented Programming, ECOOP 2019, July 15-19, 2019, London, United Kingdom, volume 134 of LIPIcs, pages 28:1-28:27. Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2019. URL: https://doi.org/10.4230/LIPIcs.ECOOP.2019.28.
  48. Arjan J. Mooij, Nicolae Goga, and Judi Romijn. Non-local choice and beyond: Intricacies of MSC choice nodes. In Maura Cerioli, editor, Fundamental Approaches to Software Engineering, 8th International Conference, FASE 2005, Held as Part of the Joint European Conferences on Theory and Practice of Software, ETAPS 2005, Edinburgh, UK, April 4-8, 2005, Proceedings, volume 3442 of Lecture Notes in Computer Science, pages 273-288. Springer, 2005. URL: https://doi.org/10.1007/978-3-540-31984-9_21.
  49. Rémi Morin. Recognizable sets of message sequence charts. In Helmut Alt and Afonso Ferreira, editors, STACS 2002, 19th Annual Symposium on Theoretical Aspects of Computer Science, Antibes - Juan les Pins, France, March 14-16, 2002, Proceedings, volume 2285 of Lecture Notes in Computer Science, pages 523-534. Springer, 2002. URL: https://doi.org/10.1007/3-540-45841-7_43.
  50. Henry Muccini. Detecting implied scenarios analyzing non-local branching choices. In Mauro Pezzè, editor, Fundamental Approaches to Software Engineering, 6th International Conference, FASE 2003, Held as Part of the Joint European Conferences on Theory and Practice of Software, ETAPS 2003, Warsaw, Poland, April 7-11, 2003, Proceedings, volume 2621 of Lecture Notes in Computer Science, pages 372-386. Springer, 2003. URL: https://doi.org/10.1007/3-540-36578-8_26.
  51. Wuxu Peng and S. Purushothaman. Analysis of a class of communicating finite state machines. Acta Informatica, 29(6/7):499-522, 1992. URL: https://doi.org/10.1007/BF01185558.
  52. Alceste Scalas and Nobuko Yoshida. Less is more: multiparty session types revisited. Proc. ACM Program. Lang., 3(POPL):30:1-30:29, 2019. URL: https://doi.org/10.1145/3290343.
  53. Spring and Hibernate Transaction in Java. URL: https://www.uml-diagrams.org/examples/spring-hibernate-transaction-sequence-diagram-example.html.
  54. Bernardo Toninho, Luís Caires, and Frank Pfenning. Dependent session types via intuitionistic linear type theory. In Peter Schneider-Kamp and Michael Hanus, editors, Proceedings of the 13th International ACM SIGPLAN Conference on Principles and Practice of Declarative Programming, July 20-22, 2011, Odense, Denmark, pages 161-172. ACM, 2011. URL: https://doi.org/10.1145/2003476.2003499.
  55. Bernardo Toninho and Nobuko Yoshida. Depending on session-typed processes. In Christel Baier and Ugo Dal Lago, editors, Foundations of Software Science and Computation Structures - 21st International Conference, FOSSACS 2018, Held as Part of the European Joint Conferences on Theory and Practice of Software, ETAPS 2018, Thessaloniki, Greece, April 14-20, 2018, Proceedings, volume 10803 of Lecture Notes in Computer Science, pages 128-145. Springer, 2018. URL: https://doi.org/10.1007/978-3-319-89366-2_7.
  56. Salvatore La Torre, P. Madhusudan, and Gennaro Parlato. Context-bounded analysis of concurrent queue systems. In C. R. Ramakrishnan and Jakob Rehof, editors, Tools and Algorithms for the Construction and Analysis of Systems, 14th International Conference, TACAS 2008, Held as Part of the Joint European Conferences on Theory and Practice of Software, ETAPS 2008, Budapest, Hungary, March 29-April 6, 2008. Proceedings, volume 4963 of Lecture Notes in Computer Science, pages 299-314. Springer, 2008. URL: https://doi.org/10.1007/978-3-540-78800-3_21.
  57. Philip Wadler. Propositions as sessions. J. Funct. Program., 24(2-3):384-418, 2014. URL: https://doi.org/10.1017/S095679681400001X.
  58. Nobuko Yoshida, Raymond Hu, Rumyana Neykova, and Nicholas Ng. The scribble protocol language. In Martín Abadi and Alberto Lluch-Lafuente, editors, Trustworthy Global Computing - 8th International Symposium, TGC 2013, Buenos Aires, Argentina, August 30-31, 2013, Revised Selected Papers, volume 8358 of Lecture Notes in Computer Science, pages 22-41. Springer, 2013. URL: https://doi.org/10.1007/978-3-319-05119-2_3.
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