Abstract
This chapter proposes a complementary formal-based solution to the verification of analog and mixed-signal (AMS) designs. The authors use symbolic computation to model and verify AMS designs through the application of induction-based model checking. They also propose the use of higher order logic theorem proving to formally verify continuous models of analog circuits. To test and validate the proposed approaches, they developed prototype implementations in Mathematica and HOL and target analog and mixed-signal systems such as delta-sigma modulators.
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References
Gielen, G.G., Rutenbar, R.A.: Computer-aided design of analog and mixed-signal integrated circuits. Proc. IEEE 88(12), 1825–1852 (2000)
Shi, G., Tan, S.X.-D., Tlelo-Cuautle, E.: Advanced Symbolic Analysis for VLSI Systems. Springer, Berlin (2014) (ISBN 978-1-4939-1102-8)
Fakhfakh, M., Tlelo-Cuautle, E., Fernandez, F.V.: Design of Analog Circuits through Symbolic Analysis, 491 pages. Bentham Sciences Publishers Ltd., Sharjah (2012) (ISBN: 978-1-60805-425-1)
Johns, D., Martin, K.: Analog Integrated Circuit Design. Wiley, New York City (1997)
Biere, A., Cimatti, A., Clarke, E., Strichman, O., Zhu, Y.: Bounded model checking. Adv. Comput. 58, 118–149 (2003)
Moore, R.E.: Methods and Applications of Interval Analysis. Society for Industrial and Applied Mathematics, Philadelphia (1979)
Zaki, M.H., Tahar, S., Bois, G.: Formal verification of analog and mixed signal designs: a survey. Microelectron. J. 39(12):1395–1404 (2008)
Kurshan, R.P., McMillan, K.L.: Analysis of digital circuits through symbolic reduction. IEEE Trans. Comput. Aided Des. 10(11), 1356–1371 (1991)
Hartong, W., Klausen, R., Hedrich, L.: Formal verification for nonlinear analog systems: approaches to model and equivalence checking. In: Advanced Formal Verification, pp. 205–245. Kluwer, The Netherlands (2004)
Greenstreet, M.R., Mitchell, I.: Reachability analysis using polygonal projections. In: Hybrid Systems: Computation and Control, LNCS, vol. 1569, pp. 103–116, Springer, Berlin (1999)
Yan, C., Greenstreet, M.R.: Verifying an arbiter circuit. IEEE Form. Methods Comput. Aided Des. 1–9 (2008)
Zaki, M.H., Al Sammane, G., Tahar, S., Bois, G.: Combining symbolic simulation and interval arithmetic for the verification of AMS designs. IEEE Form. Methods Comput. Aided Des. 207–215 (2007)
Walter, D., Little, S., Myers, C.: Bounded model checking of analog and mixed-signal circuits using an SMT solver. In: Automated Technology for Verification and Analysis, LNCS, vol. 4762, pp. 66–81. Springer, Berlin (2007)
Dang, T., Donze, A., Maler, O.: Verification of analog and mixed-signal circuits using hybrid system techniques. In: Formal Methods in Computer-Aided Design, LNCS, vol. 3312, pp. 14–17. Springer, Berlin (2004)
Gupta, S., Krogh, B.H., Rutenbar, R.A.: Towards formal verification of analog designs. In: IEEE/ACM International Conference on Computer Aided Design, pp. 210–217 (2004)
G. Frehse, B.H. Krogh, R.A. Rutenbar. Verifying analog oscillator circuits using forward/backward abstraction refinement. IEEE/ACM Des. Autom. Test Eur. pp. 257–262 (2006)
Lata, K., Roy, S.K.: Formal verification of analog and mixed signal designs using SPICE circuit simulation traces. J. Electron. Test. 29(5), 715–740 (2013)
Al-Sammane, G.: Simulation Symbolique des Circuits Decrits au Niveau Algorithmique. PhD thesis, Université Joseph Fourier, Grenoble, France (2005)
Clarke, E.M., Grumberg, O., Peled, D.A.: Model Checking. MIT Press, Cambridge (2000)
Al Sammane, G., Zaki, M., Tahar,S.: A symbolic methodology for the verification of analog and mixed signal designs. IEEE/ACM Des. Autom. Test Eur. 249–254 (2007)
Moore, J.S.: Introduction to the OBDD algorithm for the ATP community. J. Autom. Reason. 12(1):33–45 (1994)
Amla, N., Du, X., Kuehlmann, A., Kurshan, R.P., McMillan, K.L.: An analysis of SAT-based model checking techniques in an industrial environment. In: Correct Hardware Design and Verification Methods, LNCS, vol. 3725, pp. 254–268. Springer, Berlin (2005)
Wolfram, S.: Mathematica: A System for Doing Mathematics by Computer. Addison Wesley Longman Publishing, USA (1991)
Frehse, G., Le Guernic, C., Donzé, A., Cotton, S., Ray, R., Lebeltel, O., Ripado, R., Girard, A., Dang, T., Maler, O.: Spaceex: scalable verification of hybrid systems. In: Computer Aided Verification, LNCS, vol. 6806, pp. 379–395. Springer, Berlin (2011)
Denman, W., Akbarpour, B., Tahar, S., Zaki, M., Paulson, L.C.P: Formal verification of analog designs using MetiTarski. In: Formal Methods in Computer Aided Design, pp. 93–100. IEEE, New York (2009)
Hanna, K.: Reasoning about Real Circuits, vol. 859, pp. 235–253. Springer, Berlin (1994)
Ghosh, A., Vemuri, R.: Formal verification of synthesized analog circuits. In: ACM/IEE International Conference on Computer Design, vol. 31, pp. 40–45 (1999)
Hanna, K.: Reasoning about analog level implementation of digital systems. Form. Methods Syst. Des. 16(2), 127–158 (2000)
Taqdees, S.H., Hasan, O.: Formal verification of continuous models of analog circuits. In: Frontiers in Analog CAD, Poster Paper (2013)
Harrison, J.: Theorem Proving with the Real Numbers. Springer, Berlin (1998)
Usman, M., Hasan, O.: Formal verification of cyber-physical systems: coping with continuous elements. In: Computational Science and Its Applications, LNCS-Part 1, vol. 7971, pp. 358–371. Springer, Berlin (2013)
Harrison, J.: A HOL theory of Euclidean space. In: Theorem Proving in Higher Order Logics, LNCS, vol. 3603, pp. 114–129. Springer, Berlin (2005)
Taqdees, S.H., Hasan, O.: Formalization of Laplace transform using the multivariate calculus theory of HOL-light. In: Logic for Programing Artificial Intelligence and Reasoning, LNCS, vol. 8312, pp. 744–758. Springer, Berlin (2013)
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Zaki, M.H., Hasan, O., Tahar, S., Al-Sammane, G. (2015). Framework for Formally Verifying Analog and Mixed-Signal Designs. In: Fakhfakh, M., Tlelo-Cuautle, E., Siarry, P. (eds) Computational Intelligence in Analog and Mixed-Signal (AMS) and Radio-Frequency (RF) Circuit Design. Springer, Cham. https://doi.org/10.1007/978-3-319-19872-9_5
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DOI: https://doi.org/10.1007/978-3-319-19872-9_5
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