Abstract
We describe the structure of the abstract domains in the Astrée static analyzer, their modular organization into a hierarchical network, their cooperation to over-approximate the conjunction/reduced product of different abstractions and to ensure termination using collaborative widenings and narrowings. This separation of the abstraction into a combination of cooperative abstract domains makes Astrée extensible, an essential feature to cope with false alarms and ultimately provide sound formal verification of the absence of runtime errors in very large software.
This work was supported in part by the French exploratory project Astrée of the Réseau National de recherche et d’innovation en Technologies Logicielles (RNTL).
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References
Cousot, P., Cousot, R.: Abstract interpretation: a unified lattice model for static analysis of programs by construction or approximation of fixpoints. In: 4th ACM POPL, pp. 238–252 (1977)
Cousot, P., Cousot, R.: Abstract interpretation frameworks. Journal of Logic and Computation 2, 511–547 (1992)
Blanchet, B., Cousot, P., Cousot, R., Feret, J., Mauborgne, L., Miné, A., Monniaux, D., Rival, X.: Design and implementation of a special-purpose static program analyzer for safety-critical real-time embedded software, invited chapter. In: Mogensen, T., Schmidt, D., Sudborough, I. (eds.) The Essence of Computation. LNCS, vol. 2566, pp. 85–108. Springer, Heidelberg (2002)
Blanchet, B., Cousot, P., Cousot, R., Feret, J., Mauborgne, L., Miné, A., Monniaux, D., Rival, X.: A static analyzer for large safety-critical software. In: Proc. ACM SIGPLAN ’2003 Conf, PLDI, San Diego, pp. 196–207. ACM Press, New York (2003)
Cousot, P., Cousot, R., Feret, J., Mauborgne, L., Miné, A., Monniaux, D., Rival, X.: The ASTRÉE analyzer. In: Sagiv, M. (ed.) Proc. 14th ESOP ’2005, Edinburgh, 4–8 Apr. 2005. LNCS 3444, pp. 21–30. Springer, Heidelberg (2005)
Mauborgne, L.: ASTRÉE: Verification of absence of run-time error. In: Jacquart, P. (ed.) Building the Information Society, pp. 385–392. Kluwer Academic Publishers, Dordrecht (2004)
Miné, A.: Field-sensitive value analysis of embedded C programs with union types and pointer arithmetics. In: Proc. LCTES 2006. Ottawa, Ontario, Canada, 14–16 June 2006, pp. 54–63. ACM Press, New York (2006)
Monniaux, D.: The parallel implementation of the ASTRÉE static analyzer. In: Yi, K. (ed.) APLAS 2005. LNCS, vol. 3780, Springer, Heidelberg (2005)
Cousot, P., Cousot, R.: Static determination of dynamic properties of programs. In: Proceedings of the Second International Symposium on Programming, Paris, France, Dunod, Paris, France, pp. 106–130 (1976)
Miné, A.: Symbolic methods to enhance the precision of numerical abstract domains. In: Emerson, E.A., Namjoshi, K.S. (eds.) VMCAI 2006. LNCS, vol. 3855, pp. 348–363. Springer, Heidelberg (2005)
Miné, A.: The octagon abstract domain. Higher-Order and Symbolic Computation 19, 31–100 (2006)
Feret, J.: Static analysis of digital filters. In: Schmidt, D. (ed.) ESOP 2004. LNCS, vol. 2986, pp. 33–48. Springer, Heidelberg (2004)
Feret, J.: The arithmetic-geometric progression abstract domain. In: Cousot, R. (ed.) VMCAI 2005. LNCS, vol. 3385, pp. 2–58. Springer, Heidelberg (2005)
Mauborgne, L., Rival, X.: Trace partitioning in abstract interpretation based static analyzers. In: Sagiv, M. (ed.) ESOP 2005. LNCS, vol. 3444, pp. 21–30. Springer, Heidelberg (2005)
Cousot, P., Cousot, R.: Systematic design of program analysis frameworks. In: 6th ACM POPL, pp. 269–282 (1979)
Leroy, X., Doligez, D., Garrigue, J., Rémy, D., Vouillon, J.: The Objective Caml system, documentation and user’s manual (release 3.06). Technical report, INRIA, Rocquencourt, France (2002)
Miné, A.: The octagon abstract domain library (2006), www.di.ens.fr/~mine/oct/
ANSI/ISO: Programming languages – C. (1999) Standard ISO/IEC 9899:1999(E)
Henzinger, T.A., Jhala, R., Majumdar, R., Sutre, G.: Software verification with BLAST. In: Ball, T., Rajamani, S.K. (eds.) Model Checking Software. LNCS, vol. 2648, pp. 235–239. Springer, Heidelberg (2003)
Cousot, P.: Verification by abstract interpretation, invited chapter. In: Dershowitz, N. (ed.) Verification: Theory and Practice. LNCS, vol. 2772, pp. 243–268. Springer, Heidelberg (2004)
Cousot, P.: The calculational design of a generic abstract interpreter, invited chapter. In: Broy, M., Steinbrüggen, R. (eds.) Calculational System Design. NATO Science Series, Series F: Computer and Systems Sciences, vol. 173, pp. 421–505. IOS Press, Amsterdam (1999)
Miné, A.: Relational abstract domains for the detection of floating-point run-time errors. In: Schmidt, D. (ed.) ESOP 2004. LNCS, vol. 2986, pp. 3–17. Springer, Heidelberg (2004)
Cousot, P.: MIT course 16.399: Abstract Interpretation (2005), http://web.mit.edu/afs/athena.mit.edu/course/16/16.399/www/
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Cousot, P. et al. (2007). Combination of Abstractions in the ASTRÉE Static Analyzer. In: Okada, M., Satoh, I. (eds) Advances in Computer Science - ASIAN 2006. Secure Software and Related Issues. ASIAN 2006. Lecture Notes in Computer Science, vol 4435. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-77505-8_23
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DOI: https://doi.org/10.1007/978-3-540-77505-8_23
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