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Principal Type Scheme for Session Types
Alvaro Tasistro, Ernesto Copello, Nora Szasz
Pages - 34 - 43 | Revised - 15-11-2012 | Published - 31-12-2012
MORE INFORMATION
KEYWORDS
Types, Principal Type Scheme, Type Inference Algorithm
ABSTRACT
Session types model communication between processes as dialogues speci ed by sequences of types of messages, each of which describe the format and direction of the message. The resulting system imposes a type discipline that guarantees compatibility of interaction patterns between processes of a well-typed program. The system is polymorphic in
Curry\'s style, but no formal treatment of this aspect has been provided yet.
In this paper we present a system assigning type schemes to programs and an
algorithm of inference of the principal type scheme of any typable program for
a signifi cant fragment of the calculus which allows delegation of communication,
i.e. transmission of channels. We use classical syntax for variables and channels,
i.e. just one sort of names in each case for either bound or free occurrences. We
prove soundness and completeness of the algorithm, working on individual terms
rather than on alpha
-equivalence classes. The algorithm has been implemented in
Haskell and partially checked in the proof assistant Agda.
| 1 | Bjerregaard, M. O., Poulsen, N. S., & Wahl, S. (2016, May). Type Inference for Session Types in the π-calculus. In Web Services, Formal Methods, and Behavioral Types: 11th International Workshop, WS-FM 2014, Eindhoven, The Netherlands, September 11-12, 2014, and 12th International Workshop, WS-FM/BEAT 2015, Madrid, Spain, September 4-5, 2015, Revise |
| 2 | Hüttel, H., Lanese, I., Vasconcelos, V. T., Caires, L., Carbone, M., Deniélou, P. M., ... & Vieira, H. T. (2016). Foundations of session types and behavioural contracts. ACM Computing Surveys (CSUR), 49(1), 3. |
| 3 | Lanese, I., Vasconcelos, V. T., Caires, L., Carbone, M., Deniélou, P. M., Mostrous, D., ... & Zavattaro, G. Hans Hüttel, Aalborg University. |
| 4 | Graversen, E. F., Harbo, J. B., Hüttel, H., Bjerregaard, M. O., Poulsen, N. S., & Wahl, S. (2014). Type Inference for Session Types in the pi-calculus. In Web Services, Formal Methods, and Behavioral Types (pp. 103-121). Springer International Publishing. |
| 5 | Copello, E. (2012). Inferencia de tipos de sesión (Doctoral dissertation, Master’s thesis, Universidad ORT Uruguay). |
| 1 | Google Scholar  |
| 2 | CiteSeerX |
| 3 | refSeek |
| 4 | Scribd |
| 5 | SlideShare |
| 6 | PdfSR |
| Ernesto Copello. Inferencia de tipos de sesión. Master’s thesis, Universidad ORT Uruguay,2012. | |
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| R. Pucella and J. A. Tov. “Haskell session types with (almost) no class”. SIGPLAN Not.,44(2):25–36, September 2008. | |
| S. J. Gay and M. Hole. “Subtyping for session types in the pi calculus”. Acta Inf., pages 191–225, 2005. | |
| U. Norell. “Towards a practical programming language based on dependent type theory”. PhD thesis, Department of Computer Science and Engineering, Chalmers University of Technology,SE-412 96 Göteborg, Sweden, September 2007. | |
Dr. Alvaro Tasistro
- Uruguay
tasistro@ort.edu.uy
Mr. Ernesto Copello
- Uruguay
Miss Nora Szasz
- Uruguay
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