Abstract
In this paper, we extend model-checking technology with the notion of an error projection. Given a program abstraction, an error projection divides the program into two parts: the part outside the error projection is guaranteed to be correct, while the part inside the error projection can have bugs. Subsequent automated or manual verification effort need only be concentrated on the part inside the error projection. We present novel algorithms for computing error projections using weighted pushdown systems that are sound and complete for the class of Boolean programs and discuss additional applications for these algorithms.
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
Ball, T., Naik, M., Rajamani, S.K.: From symptom to cause: localizing errors in counterexample traces. In: POPL (2003)
Ball, T., Rajamani, S.: Automatically validating temporal safety properties of interfaces. In: Dwyer, M.B. (ed.) Model Checking Software. LNCS, vol. 2057, Springer, Heidelberg (2001)
Ball, T., Rajamani, S.K.: Boolean programs: A model and process for software analysis. Technical Report MSR-TR-2000-14, Microsoft Research (2000)
Bouajjani, A., Esparza, J., Maler, O.: Reachability analysis of pushdown automata: Application to model checking. In: Mazurkiewicz, A., Winkowski, J. (eds.) CONCUR 1997. LNCS, vol. 1243, Springer, Heidelberg (1997)
Bouajjani, A., Esparza, J., Touili, T.: A generic approach to the static analysis of concurrent programs with procedures. In: POPL (2003)
Chaki, S., Clarke, E., Groce, A., Jha, S., Veith, H.: Modular verification of software components in C. In: ICSE (2003)
Chaki, S., Groce, A., Strichman, O.: Explaining abstract counterexamples. In: Roy, B., Meier, W. (eds.) FSE 2004. LNCS, vol. 3017, Springer, Heidelberg (2004)
Cousot, P.: Méthodes itératives de construction et d’approximation de point fixes d’opérateurs monotones sur un treillis, analyse sémantique des programmes. Thèse ès sciences mathématiques, Univ. of Grenoble (1978)
Engler, D.R., Chelf, B., Chou, A., Hallem, S.: Checking system rules using system-specific, programmer-written compiler extensions. In: OSDI (2000)
Finkel, A., Willems, B., Wolper, P.: A direct symbolic approach to model checking pushdown systems. Elec. Notes in Theoretical Comp. Sci. 9 (1997)
Henzinger, T., Jhala, R., Majumdar, R., Sutre, G.: Lazy abstraction. In: POPL (2002)
Hong, H.S., Lee, I., Sokolsky, O.: Abstract slicing: A new approach to program slicing based on abstract interpretation and model checking. In: SCAM (2005)
Jeannet, B., Serwe, W.: Abstracting call-stacks for interprocedural verification of imperative programs. In: Rattray, C., Maharaj, S., Shankland, C. (eds.) AMAST 2004. LNCS, vol. 3116, Springer, Heidelberg (2004)
Kremenek, T., Ashcraft, K., Yang, J., Engler, D.R.: Correlation exploitation in error ranking. In: SIGSOFT FSE (2004)
Lal, A., Kidd, N., Reps, T., Touili, T.: Abstract error projection. Technical Report 1579, University of Wisconsin-Madison (January 2007)
Lal, A., Reps, T.: Improving pushdown system model checking. Technical Report 1552, University of Wisconsin-Madison (January 2006)
Massé, D.: Combining forward and backward analyses of temporal properties. In: Danvy, O., Filinski, A. (eds.) PADO 2001. LNCS, vol. 2053, Springer, Heidelberg (2001)
Mohri, M., Pereira, F.C.N., Riley, M.: Weighted automata in text and speech processing. In: ECAI (1996)
Mohri, M., Pereira, F.C.N., Riley, M.: The design principles of a weighted finite-state transducer library. In: Theoretical Computer Science (2000)
Qadeer, S., Wu, D.: KISS: Keep it simple and sequential. In: PLDI (2004)
Reps, T., Schwoon, S., Jha, S., Melski, D.: Weighted pushdown systems and their application to interprocedural dataflow analysis. SCP, 58 (2005)
Schwoon, S.: Model-Checking Pushdown Systems. PhD thesis, Tech. Univ. Munich (2002)
Weiser, M.: Program slicing. IEEE Trans. Software Eng. 10(4), 352–357 (1984)
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 2007 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Lal, A., Kidd, N., Reps, T., Touili, T. (2007). Abstract Error Projection. In: Nielson, H.R., Filé, G. (eds) Static Analysis. SAS 2007. Lecture Notes in Computer Science, vol 4634. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-74061-2_13
Download citation
DOI: https://doi.org/10.1007/978-3-540-74061-2_13
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-74060-5
Online ISBN: 978-3-540-74061-2
eBook Packages: Computer ScienceComputer Science (R0)