research-article

Static analysis by abstract interpretation of embedded critical software

Authors:

Julien Julien Bertrane,

Patrick Cousot,

Jérôme Feret,

Laurent Mauborgne,

Xavier RivalAuthors Info & Claims

ACM SIGSOFT Software Engineering Notes, Volume 36, Issue 1

Pages 1 - 8

https://doi.org/10.1145/1921532.1921553

Published: 24 January 2011 Publication History

Abstract

Formal methods are increasingly used to help ensuring the correctness of complex, critical embedded software systems. We show how sound semantic static analyses based on Abstract Interpretation may be used to check properties at various levels of a software design: from high level models to low level binary code. After a short introduction to the Abstract Interpretation theory, we present a few current applications: checking for run-time errors at the C level, translation validation from C to assembly, and analyzing SAO models of communicating synchronous systems with imperfect clocks. We conclude by briey proposing some requirements to apply Abstract Interpretation to modeling languages such as UML.

References

[1]

AbsInt, Angewandte Informatik. Astrée run-time error analyzer. http://www.absint.com/astree/.

[2]

Bertrane, J. Proving the properties of communicating imperfectly-clocked synchronous systems. In Proceedings of the Thirteenth International Symposium on Static Analysis (SAS 06) (Seoul, 29--31 Aug. 2006), K. Yi, Ed., vol. 4134 of LNCS, Springer, pp. 370--386.

Digital Library

[3]

Bertrane, J., Cousot, P., Cousot, R., Feret, J., Mauborgne, L., Miné, A., and Rival, X. Static analysis

[4]

Blanchet, B., Cousot, P., Cousot, R., Feret, J., Mauborgne, L., Miné, A., Monniaux, D., and Rival, X. Design and implementation of a special-purpose static program analyzer for safety-critical real-time embedded software, invited chapter. In The Essence of Computation: Complexity, Analysis, Transformation. Essays Dedicated to Neil D. Jones, T. Mogensen, D. Schmidt, and I. Sudborough, Eds., LNCS 2566. Springer, 2002, pp. 85--108.

Digital Library

[5]

Blanchet, B., Cousot, P., Cousot, R., Feret, J., Mauborgne, L., Miné, A., Monniaux, D., and Rival, X. A static analyzer for large safety-critical software. In Proc. ACM SIGPLAN'2003 Conf. PLDI (San Diego, 2003), ACM Press, pp. 196--207.

Digital Library

[6]

Bouissou, O., Conquet, E., Cousot, P., Cousot, R., Feret, J., Goubault, E., Ghorbal, K., Lesens, D., Mauborgne, L., Miné, A., Putot, S., Rival, X., and Turin, M. Space software validation using abstract interpretation. In Proc. of the Int. Space System Engineering Conference, Data Systems In Aerospace (DASIA'09) (Istanbul, Turkey, 26--29 May 2009), ESA publications, pp. 1--7.

[7]

Cousot, P. The calculational design of a generic abstract interpreter. In Calculational System Design, M. Broy and R. Steinbrüggen, Eds. NATO ASI Series F. IOS Press, Amsterdam, 1999.

[8]

Cousot, P., and Cousot, R. Abstract interpretation: a unified lattice model for static analysis of programs by construction or approximation of fixpoints. In Conf. Rec. of the 4th ACM Symp. on Principles of Programming Languages (POPL'77) (Jan. 1977), pp. 238--252.

Digital Library

[9]

Cousot, P., and Cousot, R. Systematic design of program analysis frameworks. In Conference Record of the Sixth Annual ACM SIGPLAN-SIGACT Symposium on Principles of Programming Languages (San Antonio, Texas, 1979), ACM Press, pp. 269--282.

Digital Library

[10]

Cousot, P., Cousot, R., Feret, J., Mauborgne, L., Miné, A., Monniaux, D., and Rival, X. Combination of abstractions in the Astrée static analyzer. In Proc. of the 11th Annual Asian Computing Science Conference (ASIAN'06) (Tokyo, Japan, 6--8 Dec. 2006), M. Okada and I. Satoh, Eds., vol. 4435 of LNCS, Springer, pp. 272--300.

Digital Library

[11]

Cousot, P., Cousot, R., Feret, J., Mauborgne, L., Miné, A., and Rival, X. The Astrée static analyzer. http://www.astree.ens.fr.

[12]

Cousot, P., and Halbwachs, N. Automatic discovery of linear restraints among variables of a program. In Conf. Rec. of the 5th Annual ACM SIGPLAN-SIGACT Symp. on Principles of Programming Languages (POPL'78) (Tucson, USA, 1978), ACM Press, pp. 84--97.

Digital Library

[13]

Delmas, D., and Souyris, J. Astrée: from research to industry. In Proc. of the 14th Int. Static Analysis Symposium (SAS'07), G. Filé and H. Riis-Nielson, Eds., vol. 4634 of LNCS. Springer, Kongens Lyngby, Denmark, 22--24 Aug. 2007, pp. 437--451.

Digital Library

[14]

Esterel Technologies. Scade suite™, the standard for the development of safety-critical embedded software in the avionics industry. http://www.esterel-technologies.com/.

[15]

Feret, J. Static analysis of digital filters. In Proc. of the 13th European Symp. on Programming Languages and Systems (ESOP'04) (27 Mar.--4 Apr. 2004), D. Schmidt, Ed., vol. 2986 of LNCS, Springer, pp. 33--48.

[16]

Feret, J. The arithmetic-geometric progression abstract domain. In Proc. of the 6th Int. Conf. on Verification, Model Checking and Abstract Interpretation (VMCAI'05) (Paris, France, 17--19 Jan. 2005), R. Cousot, Ed., vol. 3385 of LNCS, Springer, pp. 42--58.

Digital Library

[17]

Goubault, E. Static analyses of oating-point operations. In Proc. of the 8th Int. Static Analysis Symposium (SAS'01) (2001), vol. 2126 of LNCS, Springer, pp. 234--259.

Digital Library

[18]

Heckmann, R., and Ferdinand, C. Worst-case execution time prediction by static program analysis. In Proc. of the 18th Int. Parallel and Distributed Processing Symposium (IPDPS'04) (2004), IEEE Computer Society, pp. 26--30.

[19]

IEEE Computer Society. IEEE standard for binary floating-point arithmetic. Tech. rep., ANSI/IEEE Std. 745--1985, 1985.

[20]

Ioualalen, A. SARDANA: an abstract interpretation based tool for Optimization of numerical expressions in LUSTRE programs. In Tools for Automatic Program AnalysiS (TAPAS 2010), Perpignan, France (17 Sep. 2010).

[21]

ISO/IEC JTC1/SC22/WG14 Working Group. C standard. Tech. Rep. 1124, ISO & IEC, 2007.

[22]

Jeannet, B., and Miné, A. Apron: A library of numerical abstract domains for static analysis. Computer Aided Verification, CAV'2009 5643 of LNCS (2009), 661--667.

Digital Library

[23]

Kästner, D., Wilhelm, S., Nenova, S., Cousot, P., Cousot, R., Feret, J., Mauborgne, L., Miné, A., and Rival, X. Astrée: Proving the absence of rutime errors. In Proc. of Embedded Real-Time Software and Systems (ERTS'10) (Toulouse, France, May 2010), pp. 1--5. (to appear).

[24]

Miné, A. Field-sensitive value analysis of embedded C programs with union types and pointer arithmetics. In Proc. of the ACM SIGPLAN-SIGBED Conf. on Languages, Compilers, and Tools for Embedded Systems (LCTES'06) (June 2006), ACM Press, pp. 54--63.

Digital Library

[25]

Miné, A. The octagon abstract domain. Higher-Order and Symbolic Computation 19 (2006), 31--100.

Digital Library

[26]

Moore, R. E. Interval Analysis. Prentice Hall, Englewood Cliffs N. J., USA, 1966.

[27]

Randimbivololona, F., Souyris, J., Baudin, P., Pacalet, A., Raguideau, J., and Schoen, D. Applying formal proof techniques to avionics software: A pragmatic approach. In Proc. of the World Congress on Formal Methods (FM'99) (1999), vol. 1709 of LNCS, Springer, pp. 1798--1815.

Digital Library

[28]

Rival, X. Symbolic transfer functions-based approaches to certified compilation. In Conf. Rec. of the 31st Annual ACM SIGPLAN-SIGACT Symp. on Principles of Programming Languages (POPL'04) (Venice, Italy, Jan. 2004), ACM Press, pp. 1--13.

Digital Library

[29]

Rival, X., and Mauborgne, L. The trace partitioning abstract domain. ACM Trans. Program. Lang. Syst. 29, 5 (2007).

Digital Library

[30]

Technical Commission on Aviation, R. DO-178B. Tech. rep., Software Considerations in Airborne Systems and Equipment Certification, 1999.

[31]

von der Beeck, M. A formal semantics of uml-rt. In Model Driven Engineering Languages and Systems, 9th International Conference, MoDELS 2006, Genova, Italy, October 1-6, 2006, Proceedings (2006), O.Nierstrasz, J. Whittle, D. Harel, and G. Reggio, Eds., vol. 4199 of LNCS, Springer, pp. 768--782.

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Cited By

Campion MDalla Preda MGiacobazzi RUrban C(2024)Monotonicity and the Precision of Program AnalysisProceedings of the ACM on Programming Languages10.1145/36328978:POPL(1629-1662)Online publication date: 5-Jan-2024
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Cousot P(2023)A Personal Historical Perspective on Abstract InterpretationThe French School of Programming10.1007/978-3-031-34518-0_9(205-239)Online publication date: 11-Oct-2023
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Published In

cover image ACM SIGSOFT Software Engineering Notes

ACM SIGSOFT Software Engineering Notes Volume 36, Issue 1

January 2011

210 pages

ISSN:0163-5948

DOI:10.1145/1921532

Issue’s Table of Contents

Copyright © 2011 Authors.

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Association for Computing Machinery

New York, NY, United States

Publication History

Published: 24 January 2011

Published in SIGSOFT Volume 36, Issue 1

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Cited By

Campion MDalla Preda MGiacobazzi RUrban C(2024)Monotonicity and the Precision of Program AnalysisProceedings of the ACM on Programming Languages10.1145/36328978:POPL(1629-1662)Online publication date: 5-Jan-2024
https://dl.acm.org/doi/10.1145/3632897
Olivieri LSpoto F(2024)Software verification challenges in the blockchain ecosystemInternational Journal on Software Tools for Technology Transfer10.1007/s10009-024-00758-x26:4(431-444)Online publication date: 12-Jul-2024
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https://doi.org/10.1007/978-3-031-34518-0_9
Amato GMeo MScozzari F(2022)On the Need for a Common API for Abstract Domains of Object-Oriented ProgramsProceedings of the 24th ACM International Workshop on Formal Techniques for Java-like Programs10.1145/3611096.3611100(15-17)Online publication date: 7-Jun-2022
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Schuster SWägemann PUlbrich PSchröder-Preikschat WHenkel JLiu X(2021)Annotate once – analyze anywhere: context-aware WCET analysis by user-defined abstractionsProceedings of the 22nd ACM SIGPLAN/SIGBED International Conference on Languages, Compilers, and Tools for Embedded Systems10.1145/3461648.3463847(54-66)Online publication date: 22-Jun-2021
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Kim SVenet AThakur A(2020)Memory-Efficient Fixpoint ComputationStatic Analysis10.1007/978-3-030-65474-0_3(35-64)Online publication date: 18-Nov-2020
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Damouche NMartel MChapoutot A(2017)Numerical Accuracy Improvement by Interprocedural Program TransformationProceedings of the 20th International Workshop on Software and Compilers for Embedded Systems10.1145/3078659.3078662(1-10)Online publication date: 12-Jun-2017
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