Abstract
Embedded systems are composed of a heterogeneous collection of digital, analog, and mixed-signal hardware components. This paper presents a method for the verification of systems composed of such a variety of components. This method utilizes a new model, timed hybrid Petri nets (THPN), to model these circuits. In particular, this paper describes an efficient, approximate algorithm to find the reachable states of a THPN model. Using this state space, desired properties specified in ACTL are verified. To demonstrate these methodologies, a few hybrid automata benchmarks, a tunnel diode oscillator, and a phase-locked loop are modeled and analyzed using THPNs.
This research is supported by SRC contract 2002-TJ-1024, NSF Japan Program award INT-0087281, and JSPS Joint Research Projects.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Hedrich, L., Barke, E.: A formal approach to nonlinear analog circuit verification. In: International Conference on Computer-Aided Design, pp. 123–127 (1995)
Hendricx, S., Claesen, L.: A symbolic core approach to the formal verification of integrated mixed-mode applications. In: European Design and Test Conference, pp. 432–436 (1997)
Hedrich, L., Barke, E.: A formal approach to verification of linear analog circuits with parameter tolerances. In: Design, Automation and Test in Europe Proceedings, pp. 649–654 (1998)
Ghosh, A., Vemuri, R.: Formal verification of synthesized analog designs. In: International Conference on Computer Design, pp. 40–45 (1999)
Salem, A.: Semi-formal verification of VHDL-AMS descriptions. In: International Symposium on Circuits and Systems, pp. 123–127 (2002)
Hartong, W., Hedrich, L., Barke, E.: Model checking algorithms for analog verification. In: Design Automation Conference, pp. 542–547 (2002)
Hartong, W., Hedrich, L., Barke, E.: On discrete modeling and model checking for nonlinear analog systems. In: Computer Aided Verification. 14th International Conference, pp. 401–413 (2002)
Gupta, S., Krogh, B.H., Rutenbar, R.A.: Towards formal verification of analog and mixed-signal designs. In: TECHCON 2003 (2003)
Yoneda, T., Schlingloff, B.: Efficient verification of parallel real-time systems. Formal Methods in System Design (1997)
Belluomini, W., Myers, C.J.: Timed state space exploration using posets. IEEE Transactions on Computer-Aided Design 19, 501–520 (2000)
Alur, R., Courcoubetis, C., Halbwachs, N., Henzinger, T.A., Ho, P.H., Nicollin, X., Olivero, A., Sifakis, J., Yovine, S.: The algorithmic analysis of hybrid systems. Theoretical Computer Science 138, 3–34 (1995)
Alur, R., Courcoubetis, C., Henzinger, T.A., Ho, P.H.: Hybrid automata: An algorithmic approach to the specification and verification of hybrid systems. In: Hybrid Systems, pp. 209–229 (1992)
Alur, R., Henzinger, T.A., Ho, P.H.: Automatic symbolic verification of embedded systems. IEEE Transactions on Software Engineering 22, 181–201 (1996)
Henzinger, T.A., Ho, P.H., Wong-Toi, H.: HYTECH: A model checker for hybrid systems. International Journal on Software Tools for Technology Transfer 1, 110–122 (1997)
Chen, H., Hanisch, H.M.: Analysis of hybrid systems based on hybrid net condition/ event system model. Discrete Event Dynamic Systems: Theory and Applications 11, 163–185 (2001)
Asarin, E., Bournez, O., Dang, T., Maler, O.: Approximate reachability analysis of piecewise-linear dynamical systems. In: Lynch, N.A., Krogh, B.H. (eds.) HSCC 2000. LNCS, vol. 1790, p. 20. Springer, Heidelberg (2000)
Tiwari, A.: Approximate reachability for linear systems. In: Maler, O., Pnueli, A. (eds.) HSCC 2003. LNCS, vol. 2623, pp. 514–525. Springer, Heidelberg (2003)
Boigelot, B., Herbreteau, F., Jodogne, S.: Hybrid acceleration using real vector automata (extended abstract). In: Hunt Jr., W.A., Somenzi, F. (eds.) CAV 2003. LNCS, vol. 2725, pp. 193–205. Springer, Heidelberg (2003)
Silva, B., Stursberg, O., Krogh, B., Engell, S.: An assessment of the current status of algorithmic approaches to the verification of hybrid systems. In: Proceedings of the 40th IEEE Conference on Decision and Control, vol. 3, pp. 2867–2874. IEEE Press, Los Alamitos (2003)
Henzinger, T.A., Kopke, P.W., Puri, A., Varaiya, P.: What’s decidable about hybrid automata? In: Proc. 27th Annual ACM Symp. on Theory of Computing, pp. 373–382 (1995)
Balduzzi, F., Giua, A., Menga, G.: First-order hybrid petri nets: A model for optimization and control. IEEE Transactions on Robotics and Automation 16, 382–399 (2000)
David, R., Alla, H.: On hybrid petri nets. Discrete Event Dynamic Systems: Theory and Applications 11, 9–40 (2001)
Tuffin, B., Chen, D.S., Trivedi, K.S.: Comparison of hybrid systems and fluid stochastic petri nets. Discrete Event Dynamic Systems: Theory and Applications 11, 77–95 (2001)
Dill, D.L.: Timing assumptions and verification of finite-state concurrent systems. In: Proceedings of the Workshop on Automatic Verification Methods for Finite- State Systems (1989)
Myers, C.J., Belluomini, W., Killpack, K., Mercer, E., Peskin, E., Zheng, H.: Timed circuits: A new paradigm for high-speed design. In: Proc. of Asia and South Pacific Design Automation Conference, 335–340 (2001)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2004 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Little, S., Walter, D., Seegmiller, N., Myers, C., Yoneda, T. (2004). Verification of Analog and Mixed-Signal Circuits Using Timed Hybrid Petri Nets. In: Wang, F. (eds) Automated Technology for Verification and Analysis. ATVA 2004. Lecture Notes in Computer Science, vol 3299. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-30476-0_35
Download citation
DOI: https://doi.org/10.1007/978-3-540-30476-0_35
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-23610-8
Online ISBN: 978-3-540-30476-0
eBook Packages: Springer Book Archive