Abstract
Kahn and MacQueen have introduced a generic class of determinate asynchronous data-flow applications, called Kahn Process Networks (KPNs) with an elegant mathematical model and semantics in terms of Scott-continuous functions on data streams together with an implementation model of independent asynchronous sequential programs communicating through FIFO buffers with blocking read and non-blocking write operations. The two are related by the Kahn Principle which states that a realization according to the implementation model behaves as predicted by the mathematical function. Additional steps are required to arrive at an actual implementation of a KPN to take care of scheduling of independent processes on a single processor and to manage communication buffers. Because of the expressiveness of the KPN model, buffer sizes and schedules cannot be determined at design time in general and require dynamic run-time system support. Constraints are discussed that need to be placed on such system support so as to maintain the Kahn Principle. We then discuss a possible extension of the KPN model to include the possibility for sporadic, reactive behavior which is not possible in the standard model. The extended model is called Reactive Process Networks. We introduce its semantics, look at analyzability and at more constrained data-flow models combined with reactive behavior.
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Allen, G., Evans, B., Schanbacher, D.: Real-time sonar beamforming on a UNIX workstation using process networks and POSIX threads. In: Proc. of the 32nd Asilomar Conference on Signals, Systems and Computers, pp. 1725–1729. IEEE Computer Society (1998)
Allen, G., Zucknick, P., Evans, B.: A distributed deadlock detection and resolution algorithm for process networks. In: Acoustics, Speech and Signal Processing, 2007. ICASSP 2007. IEEE International Conference on, vol. 2, pp. II–33–II–36 (2007). DOI 10.1109/ICASSP.2007.366165
Basten, T., Hoogerbrugge, J.: Efficient execution of process networks. In: A. Chalmers, M. Mirmehdi, H. Muller (eds.) Proc. of Communicating Process Architectures 2001, Bristol, UK, September 2001, pp. 1–14. IOS Press (2001)
Benveniste, A., Caillaud, B., Carloni, L.P., Caspi, P., Sangiovanni-Vincentelli, A.L.: Composing heterogeneous reactive systems. ACM Trans. Embed. Comput. Syst. 7(4), 1–36 (2008)
Benveniste, A., Guemic, P.L.: Hybrid dynamical systems theory and the signal language. IEEE Trans. Automat. Contr. 35, 535–546 (1990)
Berry, G., Gonthier, G.: The Esterel synchronous programming language: Design, semantics, implementation. Sci. Comput. Program. 19, 87–152 (1992)
Bhattacharya, B., Bhattacharyya, S.: Parameterized dataflow modeling for DSP systems. IEEE Transactions on Signal Processing 49(10), 2408–2421 (2001)
Bhattacharyya, S., Murthy, P., Lee, E.: Synthesis of embedded software from synchronous dataflow specifications. J. VLSI Signal Process. Syst. 21(2), 151–166 (1999)
Brock, J., Ackerman, W.: Scenarios: A model of non-determinate computation. In: J. Díaz, I. Ramos (eds.) Formalization of Programming Concepts, International Colloquium, Proceedings, vol. LNCS 107, pp. 252–259. Peniscola, Spain (1981)
Brookes, S.: On the Kahn principle and fair networks. Tech. Rep. CMU-CS-98-156, School of Computer Science, Carnegie Mellon University (1998)
Broy, M., Dendorfer, C.: Modelling operating system structures by timed stream processing functions. Journal of Functional Programming 2(1), 1–21 (1992). URL citeseer.nj.nec.com/broy92modelling.html
Buck, J.: Scheduling dynamic dataflow graphs with bounded memory using the token flow model. Ph.D. thesis, University of California, EECS Dept., Berkeley, CA (1993)
Carloni, L.P., Sangiovanni-Vincentelli, A.L.: A framework for modeling the distributed deployment of synchronous designs. Form. Methods Syst. Des 28, 93–110 (2006)
Davey, B.A., Priestley, H.A.: Introduction to Lattices and Order. Cambridge University Press, Cambridge, UK (1990)
Dulloo, J., Marquet, P.: Design of a real-time scheduler for Kahn Process Networks on multiprocessor systems. In: Proceedings of the International Conference on Parallel and Distributed Processing Techniques and Applications, PDPTA, pp. 271–277 (2004)
Eker, J., Janneck, J., Lee, E.A., Liu, J., Liu, X., Ludvig, J., Sachs, S., Xiong, Y.: Taming heterogeneity - the ptolemy approach. Proceedings of the IEEE 91(1), 127–144 (2003). URL http://chess.eecs.berkeley.edu/pubs/488.html
Faustini, A.: An operational semantics for pure dataflow. In: M. Nielsen, E.M. Schmidt (eds.) Automata, Languages and Programming, 9th Colloquium, Aarhus, Denmark, July 12–16, 1982, Proceedings, LNCS Vol. 140, pp. 212–224. Springer Verlag, Berlin (1982)
Geilen, M.: An hierarchical compositional operational semantics of Kahn Process Networks and its Kahn Principle. Tech. rep., Electronic Systems Group, Dept. of Electrical Engineering, Eindhoven University of Technology (2009)
Geilen, M.: Synchronous data flow scenarios. Transactions on Embedded Computing Systems, Special issue on Model-driven Embedded-system Design, 10(2), (2010)
Geilen, M., Basten, T.: Requirements on the execution of Kahn process networks. In: P. Degano (ed.) Proc. of the 12th European Symposium on Programming, ESOP 2003, vol. LNCS 2618. Warsaw, Poland (2003)
Geilen, M., Basten, T.: Reactive process networks. In: EMSOFT ’04: Proceedings of the 4th ACM international conference on Embedded software, pp. 137–146. ACM, New York, NY, USA (2004). DOI http: //doi.acm.org/10.1145/1017753.1017778
Geilen, M., Stuijk, S.: Worst-case performance analysis of synchronous dataflow scenarios. In: International Conference on Hardware-Software Codesign and System Synthesis, CODES+ISSS 10, Proc., Scottsdale, Az, USA, 24–29 October, 2010, pp. 125–134 (2010)
Girault, A., Lee, B., Lee, E.: Hierarchical finite state machines with multiple concurrency models. IEEE Transactions on Computer-aided Design of Integrated Circuits and Systems 18(6), 742–760 (1999)
Goel, M.: Process networks in Ptolemy II. Technical Memorandum UCB/ERL No. M98/69, University of California, EECS Dept., Berkeley, CA (1998)
Ha, S., Oh, H.: Decidable dataflow models for signal processing: Synchronous dataflow and its extensions. In: S.S. Bhattacharyya, E.F. Deprettere, R. Leupers, J. Takala (eds.) Handbook of Signal Processing Systems, second edn. Springer (2013)
Halbwachs, N., Caspi, P., Raymond, P., Pilaud, D.: The synchronous programming language LUSTRE. Proceedings of the IEEE 79, 1305–1319 (1991)
Jiang, B., Deprettere, E., Kienhuis, B.: Hierarchical run time deadlock detection in process networks. In: Signal Processing Systems, 2008. SiPS 2008. IEEE Workshop on, pp. 239–244 (2008). DOI 10.1109/SIPS.2008. 4671769
Jonsson, B.: A fully abstract trace model for dataflow networks. In: POPL ’89: Proceedings of the 16th ACM SIGPLAN-SIGACT symposium on Principles of programming languages, pp. 155–165. ACM, New York, NY, USA (1989)
Kahn, G.: The semantics of a simple language for parallel programming. In: J. Rosenfeld (ed.) Information Processing 74: Proceedings of the IFIP Congress 74, pp. 471–475. North-Holland, Amsterdam, Netherlands, Stockholm, Sweden (1974)
Kahn, G., MacQueen, D.: Coroutines and networks of parallel programming. In: B. Gilchrist (ed.) Information Processing 77: Proceedings of the IFIP Congress 77, pp. 993–998. North-Holland, Toronto, Canada (1977)
de Kock, E., et al.: YAPI: Application modeling for signal processing systems. In: Proc. of the 37th. Design Automation Conference, pp. 402–405. IEEE, Los Angeles, CA (2000)
Lee, B.: Specification and design of reactive systems. Ph.D. thesis, Electronics Research Laboratory, University of California, EECS Dept., Berkeley, CA (2000). Memorandum UCB/ERL M00/29
Lee, E.: Overview of the Ptolemy project. Technical Memorandum UCB/ERL No. M01/11, University of California, EECS Dept., Berkeley, CA (2001)
Lee, E., Messerschmitt, D.: Synchronous data flow. IEEE Proceedings 75(9), 1235–1245 (1987)
Lee, E., Sangiovanni-Vincentelli, A.: A framework for comparing models of computation. Computer-Aided Design of Integrated Circuits and Systems, IEEE Transactions on 17(12), 1217–1229 (Dec 1998). DOI 10. 1109/43.736561
Lee, E.A., Matsikoudis, E.: The semantics of dataflow with firing. In: Y. Bertot, G. Huet, J.J. Lvy, G. Plotkin (eds.) From Semantics to Computer Science: Essays in Honour of Gilles Kahn, chap. 4. Cambridge University Press (2007). URL http://chess.eecs.berkeley.edu/pubs/428.html
Liu, X., Lee, E.A.: CPO semantics of timed interactive actor networks. Theor. Comput. Sci. 409(1), 110–125 (2008). DOI http://dx.doi.org/10. 1016/j.tcs.2008.08.044
Lynch, N., Stark, E.: A proof of the Kahn principle for Input/Output automata. Information and Computation 82(1), 81–92 (1989). URL citeseer.nj.nec.com/lynch89proof.html
Martin, A.: The probe: An addition to communication primitives. Information Processing Letters 20(3), 125–130 (1985)
Neuendorffer, S., Lee, E.A.: Hierarchical reconfiguration of dataflow models. In: Proc. Second ACM-IEEE International Conference on Formal Methods and Models for Codesign (MEMOCODE 2004) (2004)
Olson, A., Evans, B.: Deadlock detection for distributed process networks. In: Acoustics, Speech, and Signal Processing, 2005. Proceedings. (ICASSP ’05). IEEE International Conference on, vol. 5, pp. v/73–v/76 Vol. 5 (2005). DOI 10.1109/ICASSP.2005.1416243
Park, D.: On the semantics of fair parallelism. In: Abstract Software Specifications, Volume 86 of Lecture Notes in Computer Science. Springer Verlag, Berlin (1979)
Parks, T.: Bounded Scheduling of Process Networks. Ph.D. thesis, University of California, EECS Dept., Berkeley, CA (1995)
Plotkin, G.: A structural approach to operational semantics. Tech. Rep. DAIMI FN-19, Århus University, Computer Science Department, Århus, Denmark (1981)
Poplavko, P., Basten, T., van Meerbergen, J.: Execution-time prediction for dynamic streaming applications with task-level parallelism. In: DSD ’07: Proceedings of the 10th Euromicro Conference on Digital System Design Architectures, Methods and Tools, pp. 228–235. IEEE Computer Society, Washington, DC, USA (2007). DOI http://dx.doi.org/10.1109/ DSD.2007.52
Russell, J.: Full abstraction for nondeterministic dataflow networks. In: Symposium on Foundations of Computer Science, pp. 170–175. Research Triangle Park, NC (1989). DOI http://doi.ieeecomputersociety.org/10. 1109/SFCS.1989.63474
Sriram, S., Bhattacharyya, S.S.: Embedded Multiprocessors: Scheduling and Synchronization. Marcel Dekker, Inc., New York, NY, USA (2000)
Stark, E.: Concurrent transition system semantics of process networks. In: Proc. of the 1987 SIGACT-SIGPLAN Symposium on Principles of Programming Languages, Munich, Germany, January 1987, pp. 199–210. ACM Press (1987)
Stevens, R., Wan, M., Laramie, P., Parks, T., Lee, E.: Implementation of process networks in Java. Technical Memorandum UCB/ERL No. M97/84, University of California, EECS Dept., Berkeley, CA (1997)
Strehl, K., Thiele, L., Gries, M., Ziegenbein, D., Ernst, R., Teich, J.: FunState - an internal design representation for codesign. IEEE Transactions on Very Large Scale Integration (VLSI) Systems 9(4), 524–544 (2001). URL citeseer.nj.nec.com/strehl01funstate.html
Theelen, B.D., Geilen, M., Basten, T., Voeten, J., Gheorghita, S.V., Stuijk, S.: A scenario-aware data flow model for combined long-run average and worst-case performance analysis. In: MEMOCODE, pp. 185–194 (2006)
Thies, W., Karczmarek, M., Amarasinghe, S.: StreamIt: A language for streaming applications. In: R.N. Horspool (ed.) Proc. 11th International Conference Compiler Construction CC 2002, vol. LNCS 2306, pp. 179–196. Grenoble, France (2002)
Thies, W., Karczmarek, M., Sermulins, J., Rabbah, R., Amarasinghe, S.: Teleport messaging for distributed stream programs. In: PPoPP ’05: Proceedings of the tenth ACM SIGPLAN symposium on Principles and practice of parallel programming, pp. 224–235. ACM, New York, NY, USA (2005). DOI http://doi.acm.org/10.1145/1065944.1065975
Thomas T. Hildebrandt Prakash Panangaden, G.W.: A relational model of non-deterministic dataflow. Mathematical Structures in Computer Science pp. 613–649 (2004)
Vayssière, J., Webb, D., Wendelborn, A.: Distributed process networks. Tech. Rep. TR 99-03, University of Adelaide, Department of Computer Science, South Australia 5005, Australia (1999)
Yates, R.K.: Networks of real-time processes. In: E. Best (ed.) CONCUR’93: Proc. of the 4th International Conference on Concurrency Theory, pp. 384–397. Springer Verlag, Berlin, Heidelberg (1993)
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This work is supported in part by the EC through FP7 IST project 216224, MNEMEE and by the Netherlands Ministry of Economic Affairs under the Senter TS program in the Octopus project.
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Geilen, M., Basten, T. (2013). Kahn Process Networks and a Reactive Extension. In: Bhattacharyya, S., Deprettere, E., Leupers, R., Takala, J. (eds) Handbook of Signal Processing Systems. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-6859-2_32
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