note - A Theoretical Basis of Communication-Centred...

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Unformatted text preview: A Theoretical Basis of Communication-Centred Concurrent Programming Marco Carbone 1 , 2 Kohei Honda 1 Nobuko Yoshida 2 Robin Milner 3 Gary Brown 4 Steve Ross-Talbot 4 1 Queen Mary, University of London, UK 2 Imperial College, London, UK 3 University of Cambridge, UK 4 Pi4 Technologies Ltd Abstract. This document presents two different paradigms of description of communication behaviour, one focussing on global message flows and another on end-point behaviours, as formal calculi based on session types. The global calculus originates from Choreography Description Language, a web service description language developed by W3C WS-CDL working group. The end-point calculus is a typed π-calculus. The global calculus describes an interaction scenario from a vantage viewpoint; the endpoint calculus precisely identifies a local behaviour of each participant. After introducing the static and dynamic semantics of these two calculi, we explore a theory of endpoint projection which defines three principles for well-structured global description. The theory then defines a translation under the three principles which is sound and complete in the sense that all and only behaviours speci- fied in the global description are realised as communications among end-point processes. Throughout the theory, underlying type structures play a fundamental role. The document is divided in two parts: part I introduces the two descriptive frameworks using simple but non-trivial examples; the second part establishes a theory of the global and end-point formalisms. iii Contents Abstract. iii Part 1. Introductory Examples 1 1. Introduction to Part 1 3 2. Describing Communication Behaviour (1) 5 3. Describing Communication Behaviour (2) 10 4. Describing Communication Behaviour (3) 15 5. Correspondence with CDL 23 Part 2. A Formal Theory of Structured Global Programming 25 6. Introduction to Part 2 27 7. Informal Preview 28 8. Global Calculus (1): Syntax 31 9. Global Calculus (2): Reduction 36 10. Global Calculus (3): Typing 41 11. End-Point Calculus (1): Syntax and Reduction 52 12. End-Point Calculus (2): Typing 58 13. Theory of End-Point Projection (1): Connectedness 66 14. Theory of End-Point Projection (2): Well-Threadedness 72 15. Theory of End-Point Projection (3): Coherence 83 16. Main Results: EPP Theorem and its Consequences 91 17. Extension and Applications 110 18. Related Work 114 Bibliography 117 Appendix 119 Appendix A. Subject Reduction for the global calculus type system 121 Appendix B. Subject Reduction for the end-point calculus type system 123 Appendix C. Alternative Inference Algorithm for Well-threadedness 125 v Part 1 Introductory Examples 1. Introduction to Part 1 This paper introduces two different ways of describing communication-centred software in the form of formal calculi and discusses their relationship. Two different frameworks of description, one centring on global message flows and another centring on local (end-point) behaviours, share the common feature,...
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This note was uploaded on 12/27/2011 for the course CMPSC 290h taught by Professor Chong during the Fall '09 term at UCSB.

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note - A Theoretical Basis of Communication-Centred...

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