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Concurrent Semantics Without the Notions of State or State Transitions

  • Conference paper
Formal Modeling and Analysis of Timed Systems (FORMATS 2006)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 4202))

Abstract

This paper argues that basing the semantics of concurrent systems on the notions of state and state transitions is neither advisable nor necessary. The tendency to do this is deeply rooted in our notions of computation, but these roots have proved problematic in concurrent software in general, where they have led to such poor programming practice as threads. I review approaches (some of which have been around for some time) to the semantics of concurrent programs that rely on neither state nor state transitions. Specifically, these approaches rely on a broadened notion of computation consisting of interacting components. The semantics of a concurrent compositions of such components generally reduces to a fixed point problem. Two families of fixed point problems have emerged, one based on metric spaces and their generalizations, and the other based on domain theories. The purpose of this paper is to argue for these approaches over those based on transition systems, which require the notion of state.

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References

  1. Abramsky, S., Gay, S.J., Nagarajan, R.: Interaction categories and the foundations of typed concurrent programming. In: Broy, M. (ed.) Deductive Program Design: Proceedings of the 1994 Marktoberdorf Summer School. NATO ASI Series F. Springer, Heidelberg (1995)

    Google Scholar 

  2. Abramsky, S., Jung, A.: Domain theory. In: Handbook of logic in computer science: semantic tructures, vol. 3, pp. 1–168. Oxford University Press, Oxford (1995)

    Google Scholar 

  3. Agha, G.: Concurrent object-oriented programming. Communications of the ACM 33(9), 125–140 (1990)

    Article  Google Scholar 

  4. Arbab, F.: Abstract behavior types: A foundation model for components and their composition. Science of Computer Programming 55, 3–52 (2005)

    Article  MATH  MathSciNet  Google Scholar 

  5. Armstrong, J.R., Gray, F.G.: VHDL Design Representation and Synthesis, 2nd edn. Prentice-Hall, Englewood Cliffs (2000)

    Google Scholar 

  6. Arnold, A., Nivat, M.: Metric interpretations of infinite trees and semantics of non deterministic recursive programs. Fundamenta Informaticae 11(2), 181–205 (1980)

    MATH  MathSciNet  Google Scholar 

  7. Baier, C., Majster-Cederbaum, M.E.: Denotational semantics in the cpo and metric approach. Theoretical Computer Science 135(2), 171–220 (1994)

    Article  MATH  MathSciNet  Google Scholar 

  8. Benveniste, A., Berry, G.: The synchronous approach to reactive and real-time systems. Proceedings of the IEEE 79(9), 1270–1282 (1991)

    Article  Google Scholar 

  9. Benveniste, A., Carloni, L., Caspi, P., Sangiovanni-Vincentelli, A.: Heterogeneous Reactive Systems Modeling and Correct-by-Construction Deployment. In: Alur, R., Lee, I. (eds.) EMSOFT 2003. LNCS, vol. 2855, pp. 35–50. Springer, Heidelberg (2003)

    Chapter  Google Scholar 

  10. Berry, G.: The Constructive Semantics of Pure Esterel. Book Draft (1996)

    Google Scholar 

  11. Broy, M., Stefanescu, G.: The algebra of stream processing functions. Theoretical Computer Science 258, 99–129 (2001)

    Article  MATH  MathSciNet  Google Scholar 

  12. Burch, J.R., Passerone, R., Sangiovanni-Vincentelli, A.L.: Notes on agent algebras. Technical Report UCB/ERL M03/38, University of California (November 2003)

    Google Scholar 

  13. Cassandras, C.G.: Discrete Event Systems, Modeling and Performance Analysis, Irwin (1993)

    Google Scholar 

  14. Cataldo, A., Lee, E.A., Liu, X., Matsikoudis, E., Zheng, H.: A constructive fixed-point theorem and the feedback semantics of timed systems. In: Workshop on Discrete Event Systems (WODES). Ann Arbor, Michigan (2006)

    Google Scholar 

  15. Davey, B.A., Priestly, H.A.: Introduction to Lattices and Order. Cambridge University Press, Cambridge (1990)

    MATH  Google Scholar 

  16. de Bakker, J.W., de Vink, E.P.: Denotational models for programming languages: Applications of banachs fixed point theorem. Topology and its Applications 85, 35–52 (1998)

    Article  MATH  MathSciNet  Google Scholar 

  17. Dennis, J.B.: First version data flow procedure language. Technical Report MAC TM61, MIT Laboratory for Computer Science (1974)

    Google Scholar 

  18. Edwards, S.A., Lee, E.A.: The semantics and execution of a synchronous block-diagram language. Science of Computer Programming 48(1) (2003)

    Google Scholar 

  19. Fishman, G.S.: Discrete-Event Simulation: Modeling, Programming, and Analysis. Springer, Heidelberg (2001)

    MATH  Google Scholar 

  20. Goldin, D., Smolka, S., Attie, P., Sonderegger, E.: Turing machines, transition systems, and interaction. Information and Computation 194(2), 101–128 (2004)

    Article  MATH  MathSciNet  Google Scholar 

  21. Gontmakher, A., Schuster, A.: Java consistency: nonoperational characterizations for Java memory behavior. ACM Trans. Comput. Syst. 18(4), 333–386 (2000)

    Article  Google Scholar 

  22. Gssler, G., Sifakis, J.: Composition for component-based modeling. Science of Computer Programming 55 (2005)

    Google Scholar 

  23. Gurevich, Y.: Evolving algebras 1993: Lipari Guide. In: Börger, E. (ed.) Specification and Validation Methods, pp. 9–37 (1994)

    Google Scholar 

  24. Hewitt, C.: Viewing control structures as patterns of passing messages. Journal of Artifical Intelligence 8(3), 323–363 (1977)

    Article  Google Scholar 

  25. Hoare, C.A.R.: Communicating sequential processes. Communications of the ACM 21(8) (1978)

    Google Scholar 

  26. Johannessen, S.: Time synchronization in a local area network. IEEE Control Systems Magazine, 61–69 (2004)

    Google Scholar 

  27. Kahn, G.: The semantics of a simple language for parallel programming. In: Proc. of the IFIP Congress 74. North-Holland Publishing Co., Amsterdam (1974)

    Google Scholar 

  28. Kahn, G., MacQueen, D.B.: Coroutines and networks of parallel processes. In: Gilchrist, B. (ed.) Information Processing, pp. 993–998. North-Holland Publishing Co., Amsterdam (1977)

    Google Scholar 

  29. Lee, E.A.: Modeling concurrent real-time processes using discrete events. Annals of Software Engineering 7, 25–45 (1999)

    Article  Google Scholar 

  30. Lee, E.A.: Embedded software. In: Zelkowitz, M. (ed.) Advances in Computers, vol. 56. Academic Press, London (2002)

    Google Scholar 

  31. Lee, E.A.: Model-driven development - from object-oriented design to actor-oriented design. In: Workshop on Software Engineering for Embedded Systems: From Requirements to Implementation (a.k.a. The Monterey Workshop), Chicago (2003)

    Google Scholar 

  32. Lee, E.A.: The problem with threads. Computer 39(5), 33–42 (2006)

    Article  Google Scholar 

  33. Lee, E.A., Neuendorffer, S., Wirthlin, M.J.: Actor-oriented design of embedded hardware and software systems. Journal of Circuits, Systems, and Computers 12(3), 231–260 (2003)

    Article  Google Scholar 

  34. Lee, E.A., Parks, T.M.: Dataflow process networks. Proceedings of the IEEE 83(5), 773–801 (1995)

    Article  Google Scholar 

  35. Lee, E.A., Sangiovanni-Vincentelli, A.: A framework for comparing models of computation. IEEE Transactions on Computer-Aided Design of Circuits and Systems 17(12), 1217–1229 (1998)

    Article  Google Scholar 

  36. Lee, E.A., Zheng, H., Zhou, Y.: Causality interfaces and compositional causality analysis. In: Foundations of Interface Technologies (FIT), Satellite to CONCUR, San Francisco, CA (2005)

    Google Scholar 

  37. Liu, X.: Semantic foundation of the tagged signal model. Phd thesis, EECS Department, University of California, December 20 (2005)

    Google Scholar 

  38. Liu, X., Lee, E.A.: CPO semantics of timed interactive actor networks. Technical Report EECS-2006-67, UC Berkeley, May 18 (2006)

    Google Scholar 

  39. Liu, X., Matsikoudis, E., Lee, E.A.: Modeling Timed Concurrent Systems. In: Baier, C., Hermanns, H. (eds.) CONCUR 2006. LNCS, vol. 4137, pp. 1–15. Springer, Heidelberg (2006)

    Chapter  Google Scholar 

  40. Maler, O., Manna, Z., Pnueli, A.: From timed to hybrid systems. In: Huizing, C., de Bakker, J.W., Rozenberg, G., de Roever, W.-P. (eds.) REX 1991. LNCS, vol. 600, pp. 447–484. Springer, Heidelberg (1992)

    Chapter  Google Scholar 

  41. Manna, Z., Pnueli, A.: Verifying hybrid systems. Hybrid Systems, 4–35 (1992)

    Google Scholar 

  42. Milner, R.: A Calculus of Communication Systems. LNCS, vol. 92. Springer, Heidelberg (1980)

    Google Scholar 

  43. Milner, R.: Elements of interaction. Communications of the ACM 36, 78–89 (1993)

    Article  Google Scholar 

  44. Naundorf, H.: Strictly causal functions have a unique fixed point. Theoretical Computer Science 238(1-2), 483–488 (2000)

    Article  MATH  MathSciNet  Google Scholar 

  45. Priess-Crampe, S., Ribenboim, P.: Generalized ultrametric spaces I. Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 66, 55–73 (1996)

    Article  MATH  MathSciNet  Google Scholar 

  46. Priess-Crampe, S., Ribenboim, P.: Fixed point and attractor theorems for ultrametric spaces. Forum Mathematicum 12, 53–64 (2000)

    MATH  MathSciNet  Google Scholar 

  47. Pugh, W.: Fixing the Java memory model. In: Proceedings of the ACM 1999 conference on Java Grande, San Francisco, California, United States, pp. 89–98. ACM Press, New York (1999)

    Chapter  Google Scholar 

  48. Reed, G.M., Roscoe, A.W.: Metric spaces as models for real-time concurrency. In: Main, M.G., Mislove, M.W., Melton, A.C., Schmidt, D. (eds.) MFPS 1987. LNCS, vol. 298, pp. 331–343. Springer, Heidelberg (1988)

    Google Scholar 

  49. Schneider, K., Brandt, J., Schuele, T.: Causality analysis of synchronous programs with delayed actions. In: International Conference on Compilers, Architecture, and Synthesis for Embedded Systems, Washington DC, USA (2004)

    Google Scholar 

  50. Stoy, J.E.: Denotational Semantics. MIT Press, Cambridge (1977)

    Google Scholar 

  51. Talcott, C.L.: Interaction semantics for components of distributed systems. In: Formal Methods for Open Object-Based Distributed Systems (FMOODS) (1996)

    Google Scholar 

  52. Taylor, P.: Practical Foundations of Mathematics. Cambridge University Press, Cambridge (1999)

    MATH  Google Scholar 

  53. Tiller, M.M.: Introduction to Physical Modeling with Modelica. Kluwer Academic Publishers, Dordrecht (2001)

    Google Scholar 

  54. Turing, A.M.: Computability and λ-definability. Journal of Symbolic Logic 2, 153–163 (1937)

    Article  MATH  Google Scholar 

  55. Winskel, G.: The Formal Semantics of Programming Languages. MIT Press, Cambridge (1993)

    MATH  Google Scholar 

  56. Yates, R.K.: Networks of real-time processes. In: Best, E. (ed.) CONCUR 1993. LNCS, vol. 715. Springer, Heidelberg (1993)

    Google Scholar 

  57. Zeigler, B.P., Praehofer, H., Kim, T.G.: Theory of Modeling and Simulation, 2nd edn. Academic Press, London (2000)

    Google Scholar 

  58. Zhou, Y., Lee, E.A.: A causality interface for deadlock analysis in dataflow. Technical Report UCB/EECS-2006-51, EECS Department, UC Berkeley (May 12, 2006)

    Google Scholar 

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Lee, E.A. (2006). Concurrent Semantics Without the Notions of State or State Transitions. In: Asarin, E., Bouyer, P. (eds) Formal Modeling and Analysis of Timed Systems. FORMATS 2006. Lecture Notes in Computer Science, vol 4202. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11867340_2

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  • DOI: https://doi.org/10.1007/11867340_2

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-45026-9

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