Abstract
This paper is about the encoding of pπ, the polyadic π-calculus, in mπ, the monadic π-calculus. A type system for mπ processes is introduced which captures the interaction regime underlying the encoding of pπ processes respecting a sorting. A full-abstraction result is shown: two pπ processes are typed barbed congruent iff their mπ encodings are monadic-typed barbed congruent.
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References
Honda, K.: Types for Dyadic Interaction. In: Best, E. (ed.) CONCUR 1993. LNCS, vol. 715, pp. 509–523. Springer, Heidelberg (1993)
Kobayashi, N.: A partially deadlock-free typed process calculus. In: Proc. 12th IEEE Symp. LICS, pp. 128–139 (1997)
Kobayashi, N., Pierce, B.C., Turner, D.N.: Linearity and the Pi-Calculus. In: Proc. 23rd ACM Symp. POPL, pp. 358–371 (1996)
Liu, X., Walker, D.: A Polymorphic Type System for the Polyadic π-calculus. In: Lee, I., Smolka, S.A. (eds.) CONCUR 1995. LNCS, vol. 962, pp. 103–116. Springer, Heidelberg (1995)
Milner, R.: The Polyadic π-Calculus: a Tutorial. In: Bauer, F.L., Brauer, W., Schwichtenberg, H. (eds.) Logic and Algebra of Specification, pp. 203–246. Springer, Heidelberg (1992)
Milner, R., Parrow, J., Walker, D.: A Calculus of Mobile Processes, Part I and II. Information and Computation 100(1), 1–77 (1992)
Nestmann, U., Steffen, M.: Typing Confluence. In: Gnesi, S., Latella, D. (eds.) Proc. 2nd Int. ERCIM Workshop on Formal Methods in Industrial Critical Systems, pp. 77–101 (1997)
Pierce, B.C., Sangiorgi, D.: Typing and Subtyping for Mobile Processes. In: Proc. 8th IEEE Symp. LICS, pp. 376–385 (1993)
Pierce, B.C., Sangiorgi, D.: Behavioral Equivalence in the Polymorphic Pi-Calculus. In: Proc. 24th ACM Symp. POPL, pp. 242–255 (1997)
Sangiorgi, D.: The name discipline of uniform receptiveness. In: Degano, P., Gorrieri, R., Marchetti-Spaccamela, A. (eds.) ICALP 1997. LNCS, vol. 1256, pp. 303–313. Springer, Heidelberg (1997)
Turner, D.N.: The Polymorphic Pi-Calculus: Theory and Implementation. PhD thesis, Comp. Sc. Dep., Edinburgh University, 1996. Report ECS-LFCS-96-345
Vasconcelos, V.T., Honda, K.: Principal typing schemes in a polyadic π-calculus. In: Best, E. (ed.) CONCUR 1993. LNCS, vol. 715. Springer, Heidelberg (1993)
Yoshida, N.: Graph Types for Monadic Mobile Processes. In: Chandru, V., Vinay, V. (eds.) FSTTCS 1996. LNCS, vol. 1180, pp. 371–386. Springer, Heidelberg (1996)
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Quaglia, P., Walker, D. (1998). On encoding pπ in mπ . In: Arvind, V., Ramanujam, S. (eds) Foundations of Software Technology and Theoretical Computer Science. FSTTCS 1998. Lecture Notes in Computer Science, vol 1530. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-49382-2_5
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DOI: https://doi.org/10.1007/978-3-540-49382-2_5
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