Giannakopoulou, Dimitra; Bushnell, David H.; Schumann, Johann; Erzberger, Heinz; Heere, Karen Formal testing for separation assurance. (English) Zbl 1242.68066 Ann. Math. Artif. Intell. 63, No. 1, 5-30 (2011). Summary: In order to address the rapidly increasing load of air traffic operations, innovative algorithms and software systems must be developed for the next generation air traffic control. Extensive verification of such novel algorithms is key for their adoption by industry. Separation assurance algorithms aim at predicting if two aircraft will get closer to each other than a minimum safe distance; if loss of separation is predicted, they also propose a change of course for the aircraft to resolve this potential conflict. In this paper, we report on our work towards developing an advanced testing framework for separation assurance. Our framework supports automated test case generation and testing, and defines test oracles that capture algorithm requirements. We discuss three different approaches to test-case generation, their application to a separation assurance prototype, and their respective strengths and weaknesses. We also present an approach for statistical analysis of the large numbers of test results obtained from our framework. MSC: 68N30 Mathematical aspects of software engineering (specification, verification, metrics, requirements, etc.) Keywords:software testing; verification; model checking; automatic test generation; clustering; separation assurance; air-traffic control Software:CUTE; STP; AutoClass; mclust; PRMLT; DART; Pex; Java PathFinder; EMMIX; Korat PDF BibTeX XML Cite \textit{D. Giannakopoulou} et al., Ann. Math. Artif. Intell. 63, No. 1, 5--30 (2011; Zbl 1242.68066) Full Text: DOI References: [1] Betin-Can, A., Bultan, T., Lindvall, M., Lux, B., Topp, S.: Application of design for verification with concurrency controllers to air traffic control software. In: ASE 2005: Proceedings of the 20th International Conference on Automated Software Engineering, pp. 14–23 (2005) [2] Bishop, C.M.: Pattern Recognition and Machine Learning (Information Science and Statistics). Springer (2006) · Zbl 1107.68072 [3] Boyapati, R., Khurshid, S., Marinov, D.: Korat: automated testing based on Java predicates. In: Proceedings of the International Symposium on Software Testing and Analysis (ISSTA), pp. 123–133. ACM Press (2002) [4] Buntine, W.L.: Operations for learning with graphical models. J. Artif. Intell. Res. 2, 159–225 (1994) [5] Bushnell, D.H., Giannakopoulou, D., Mehlitz, P., Paielli, R., Pǎsǎreanu, C.: Verification and validation of air traffic systems: tactical separation assurance. In: Proc. IEEE Aerospace Conference. IEEE Press (2009) [6] Cadar, C., Ganesh, V., Pawlowski, P.M., Dill, D.L., Engler, D.R.: EXE: automatically generating inputs of death. In: Proceedings of the 13th ACM Conference on Computer and Communications Security (CCS) (2006) [7] Cheeseman, P., Stutz, J.: Bayesian classification (AutoClass): theory and results. In: Fayyad, U.M., Piatetsky-Shapiro, G., Smyth, P., Uthurusamy, R. (eds.) Proc. 2nd Int. Conf. on Knowledge Discovery and Data Mining, pp. 153–180. AAAI Press (1996) [8] The Choco Constraint Solver. http://choco.sourceforge.net/ . Accessed February 2011 [9] Clarke, E., Grumberg O., Peled, D.: Model Checking. MIT Press (2000) [10] Codecover–an open-source glass-box testing tool. http://codecover.org (2009). Accessed February 2011 [11] Cohen, D., Dalal, S., Parelius, J., Patton, G.: The combinatorial design approach to automatic test generation. IEEE Softw. 13(5), 83–88 (1996) · Zbl 05102457 [12] Consiglio, M., Carreno, V., Williams, D., Munoz, C.: Conflict prevention and separation assurance method in the small aircraft transportation system. J. Aircr. 45(0021-8669), 353–358 (2008) [13] Dempster, A.P., Laird, N.M., Rubin, D.B.: Maximum likelihood from incomplete data via the EM algorithm (with discussion). J. R. Stat. Soc. Ser. B 39, 1–38 (1977) · Zbl 0364.62022 [14] Dowek, G., Munoz, C.: Conflict detection and resolution for 1,2,...,N aircraft. In: Proceedings of the 7th AIAA Aviation, Technology, Integration, and Operations Conference (2007) [15] Dunietz, I.S., Ehrlich, W.K., Szablak, B.D., Mallows, C.L., Iannino, A.: Applying design of experiments to software testing: experience report. In: ICSE ’97: Proceedings of the 19th International Conference on Software Engineering, pp. 205–215 (1997) [16] Erzberger, H., Heere, K.: Algorithm and operational concept for resolving short-range conflicts. Proc. Inst. Mech. Eng. G: J. Aerosp. Eng. 224(2), 225–243 (2010) [17] Erzberger, H., Lauderdale, T.A., Chu, Y.C.: Automated conflict resolution, arrival management and weather avoidance for ATM. In: Proceedings of the 27th International Congress of the Aeronautical Sciences (2010) [18] Fischer, B., Schumann, J.: AutoBayes: a system for generating data analysis programs from statistical models. J. Funct. Program. 13(3), 483–508 (2003) · Zbl 1037.68044 [19] Fraley, C., Raftery, A.E.: MCLUST: software for model-based clustering, density estimation, and discriminant analysis. Tech. Rep. 415, Department of Statistics, University of Washington (2002) · Zbl 1073.62545 [20] Gligoric, M., Gvero, T., Jagannath, V., Khurshid, S., Kuncak, V., Marinov, D.: Test generation through programming in UDITA. In: ICSE ’10: 32nd International Conference on Software Engineering (2010) [21] Godefroid, P.: Compositional dynamic test generation. In: POPL, pp. 47–54 (2007) [22] Godefroid, P., Klarlund, N., Sen, K.: DART: Directed automated random testing. SIGPLAN Notes 40(6), 213–223 (2005) [23] Godefroid, P., Nori, A.V., Rajamani, S.K., Tetali, S.: Compositional may-must program analysis: unleashing the power of alternation. In: POPL, pp. 43–56 (2010) · Zbl 1312.68057 [24] Grindal, M., Offutt, J., Andler, S.F.: Combination testing strategies: a survey. Softw. Test. Verif. Reliab. 15(3), 167–199 (2005) · Zbl 05446611 [25] IASolver. http://www.cs.brandeis.edu/im/Applets/IAsolver.html . Accessed February 2011 [26] JavaPathfinder. http://babelfish.arc.nasa.gov/trac/jpf . Accessed February 2011 [27] JUnit. http://www.junit.org/ . Accessed February 2011 [28] King, J.C.: Symbolic execution and program testing. Commun. ACM 19(7), 385–394 (1976) · Zbl 0329.68018 [29] Leveson, N.G., Heimdahl, M.P.E., Hildreth, H., Reese, J.D.: Requirements specification for process-control systems. IEEE Trans. Softw. Eng. 20(9), 684–707 (1994) · Zbl 05114407 [30] Majumdar, R., Sen, K.: Hybrid concolic testing. In: ICSE ’07: Proceedings of the 29th International Conference on Software Engineering, pp. 416–426. IEEE Computer Society, Washington, DC (2007) [31] McLachlan, G., Peel, D., Basford, K.E., Adams, P.: The EMMIX software for the fitting of mixtures of normal and t-components. Journal Statistical Software 4(2), 1–14 (1999) [32] Murphy, M.: Octave: a free, high-level language for mathematics. Linux J. 39 (1997) [33] Octave. http://www.gnu.org/software/octave (2010) [34] Pǎsǎreanu, C., Visser, W.: A survey of new trends in symbolic execution for software testing and analysis. Int. J. Softw. Tools Technol. Transf. (STTT) 11, 339–353 (2009) · Zbl 05781743 [35] Pǎsǎreanu, C.S., Mehlitz, P.C., Bushnell, D.H., Gundy-Burlet, K., Lowry, M.R., Person, S., Pape, M.: Combining unit-level symbolic execution and system-level concrete execution for testing NASA software. In: ISSTA ’08: Proceedings of the International Symposium on Software Testing and Analysis, pp. 15–26. ACM (2008) [36] RTCA. DO-178B: software considerations in airborne systems and equipment certification. http://www.rtca.org (1992) [37] Schumann, J., Gundy-Burlet, K., Pǎsǎreanu, C., Menzies, T., Barrett, T.: Software V&V support by parametric analysis of large software simulation systems. In: Proc. IEEE Aerospace. IEEE Press (2009) [38] Schumann, J., Jafari, H., Pressburger, T., Denney, E., Buntine, W., Fischer, B.: AutoBayes program synthesis system users manual. Tech. Rep. NASA/TM-2008-215366, NASA (2008) [39] Sen, K., Marinov, D., Agha, G.: CUTE: a concolic unit testing engine for C. In: ESEC/FSE-13: Proceedings of the 10th European Software Engineering Conference, pp. 263–272. ACM, New York (2005) [40] T-Vec. http://www.t-vec.com (2002). Accessed February 2011 [41] Tai, K., Lie, Y.: A test generation strategy for pairwise testing. IEEE Trans. Softw. Eng. 28(1), 109–111 (2002) · Zbl 05113111 [42] Tillmann, N., de Halleux, J.: Pex: white box test generation for .NET. In: Beckert, B., Hähnle, R. (eds.) Tests and Proofs. Lecture Notes in Computer Science, vol. 4966, pp. 134–153. Springer (2008) [43] Visser, W., Havelund, K., Brat, G.P., Park, S., Lerda, F.: Model checking programs. Autom. Softw. Eng. 10(2), 203–232 (2003) · Zbl 01904973 [44] Visser, W., Pǎsǎreanu, C.S., Khurshid, S.: Test input generation with Java PathFinder. SIGSOFT Softw. Eng. Notes 29(4), 97–107 (2004) [45] Wallace, D.R., Kuhn, D.R.: Failure modes in medical device software: an analysis of 15 years of recall data. Int. J. Reliab. Qual. Saf. Eng. 8(4) (2001) This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.