Abstract
The Ö-calculus extends Milner’s π-calculus by adding active environments which flow continuously over time. This allows us to extend hybrid automata to specify systems of physical agents which can reconfigure themselves. We prove a theorem stating that processes (weakly) bisimilar in the process-algebraic sense, when placed in the same active environment, control it in the same way.
Research supported by US NSF Grant 0233960.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
R. Alur, R. Grosu, I. Lee, and O. Sokolsky. Compositional refinement for hierarchical hybrid systems. In Maria Domenica Di Benedetto and Alberto Sangiovanni-Vincentelli, editors, Hybrid Systems, Computation, and Control, pages 33–48. Springer-Verlag, 2001. Volume 2034 of Lecture Notes in Computer Science.
R. Alur and. T. A. Henzinger. Reactive modules. Formal methods in System Design, 15:7–48, 1999.
S. D. Brookes, C. A. R. Hoare, and A. W. Roscoe. A theory of communicating sequential processes. J. Assoc. Comput. Mach., 31(3):560–599, 1984.
Luis Caires and Luca Cardelli. A spatial logic for concurrency (part i). In Proceedings, Theoretical Aspects of Computer Software; 4th International Symposium, Sendai, Japan, 2001. To appear in I & C special issue on TACS’01.
A. Deshpande, A. Gollu, and L. Semenzato. The shift programming language and run-time system for dynamic networks of hybrid automata. Technical report, California PATH Research Report UCB-ITS-PRR-97-7, 1997.
T. A. Henzinger. The theory of hybrid automata. In Proc. 11th Annual Symposium on Logic in Computer Science, pages 278–292, 1996.
T. A. Henzinger, M. Minea, and V. Prabhu. Assume-guarantee reasoning for hierarchical hybrid systems. In Maria Domenica Di Benedetto and Alberto Sangiovanni-Vincentelli, editors, Hybrid Systems, Computation, and Control, pages 275–290. Springer-Verlag, 2001. Volume 2034 of Lecture Notes in Computer Science.
E. Klavins. Automatic compilation of concurrent hybrid factories from product assembly specifications. In Hybrid Systems: Computation and Control, LNCS 1790, pages 174–187, Pittsburgh, PA, 2000. Springer-Verlag.
Eric Klavins and Daniel Koditschek. A formalism for the composition of loosely coupled robot behaviors. Technical report, University of Michigan CSE Tech Report CSE-TR-12-99, 1999.
Daniel E. Koditschek and Elon Rimon. Robot navigation functions on manifolds with boundary. Advances in Applied Mathematics, 11:412–442, 1990.
Nancy Lynch, Roberto Segala, and Frits Vaandrager. Hybrid i/o automata revisited. In Maria Domenica Di Benedetto and Alberto Sangiovanni-Vincentelli, editors, Hybrid Systems: Computation and Control. Fourth International Workshop, pages 403–417. Springer-Verlag, 2001. Volume 2034 of Lecture Notes in Computer Science.
Nancy Lynch and Mark Tuttle. Hierarchical correctness proofs for distributed algorithms. In Proceedings of 6th Annual Symposium on Principles of Distributed Computing, pages 137–151, 1987.
Robin Milner. Communicating and Mobile Systems: the π-calculus. Cambridge University Press, 1999.
W. C. Rounds and Hosung Song. The ö-calculus-a hybrid extension of the π-calculus to embedded systems. Technical report, University of Michigan EECSCSE Tech Report CSE-TR-458-02, 2002.
Steve Schneider. Concurrent and real-time systems: the CSP approach. Wiley, 2000.
Roberto Segala. A process-algebraic view of i-o automata. Technical report, MIT Tech Memo MIT/LCS/TR557, 1992.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2003 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Rounds, W.C., Song, H. (2003). The Ö-Calculus: A Language for Distributed Control of Reconfigurable Embedded Systems. In: Maler, O., Pnueli, A. (eds) Hybrid Systems: Computation and Control. HSCC 2003. Lecture Notes in Computer Science, vol 2623. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-36580-X_32
Download citation
DOI: https://doi.org/10.1007/3-540-36580-X_32
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-00913-9
Online ISBN: 978-3-540-36580-8
eBook Packages: Springer Book Archive