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Toward a theory of program repair. (English) Zbl 07727458

Summary: To repair a program does not mean to make it (absolutely) correct; it only means to make it more-correct than it was originally. This is not a mundane academic distinction: given that programs typically have about a dozen faults per KLOC, it is important for program repair methods and tools to be designed in such a way that they map an incorrect program into a more-correct, albeit still potentially incorrect, program. Yet in the absence of a concept of relative correctness, many program repair methods and tools resort to approximations of absolute correctness; since these methods and tools are often validated against programs with a single fault, making them absolutely correct is indistinguishable from making them more-correct; this has contributed to conceal/obscure the absence of (and the need for) relative correctness. In this paper, we propose a theory of program repair based on a concept of relative correctness. We aspire to encourage researchers in program repair to explicitly specify what concept of relative correctness their method or tool is based upon; and to validate their method or tool by proving that it does enhance relative correctness, as defined.

MSC:

68Qxx Theory of computing
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[1] Abreu, R.: Gzoltar: a toolset for automatic test suite minimization and fault identification. In: International Workshop on the Future of Debugging, Lugano, Switzerland (2013)
[2] Abrial, JR, The B Book: Assigning Programs to Meanings (1996), Cambridge: Cambridge University Press, Cambridge · Zbl 0915.68015 · doi:10.1017/CBO9780511624162
[3] Anonymous: Addendum, the bane of generate-and-validate program repair, crcfix data. Technical report. https://anonymous.4open.science/r/7c54e6e6-1c2f-491c-bf5a-d7f451fb463c/ (May 2020)
[4] Anonymous: Addendum, the bane of generate-and-validate program repair, crcfix tool. Technical report. https://anonymous.4open.science/r/95d330a9-97bf-44ab-9144-f214dce174d2/ (September 2020)
[5] Avizienis, A.; Laprie, JC; Randell, B.; Landwehr, CE, Basic concepts and taxonomy of dependable and secure computing, IEEE Trans. Dependable Secure Comput., 1, 1, 11-33 (2004) · doi:10.1109/TDSC.2004.2
[6] Bergstra, JA, Instruction sequence faults with formal change justification, Sci. Ann. Comput. Sci., 30, 2, 105-166 (2020) · Zbl 1513.68008
[7] Boudriga, N.; Elloumi, F.; Mili, A., The lattice of specifications: applications to a specification methodology, Formal Aspects Comput., 4, 6, 544-571 (1992) · Zbl 0782.68077 · doi:10.1007/BF01211474
[8] Brink, C.; Kahl, W.; Schmidt, G., Relational Methods in Computer Science. Advances in Computer Science (1997), Berlin: Springer, Berlin · Zbl 0871.00027
[9] Christakis, M., Heizmann, M., Mansur, M.N., Schilling, C., Wuestholz, V.: Semantic fault localization and suspiciousness ranking. In: Vojnar, T., Zhang, L. (eds.) Proceedings, TACAS 2019, Number 11427 in LNCS, pp. 226-243 (2019)
[10] Debroy, V.; Eric Wong, W., Combining mutation and fault localization for automated program debugging, J. Syst. Softw., 90, 45-60 (2013) · doi:10.1016/j.jss.2013.10.042
[11] DeMarco, F., Xuan, J., Berra, D.L., Monperrus, M.: Automatic repair of buggy if conditions and missing preconditions with SMT. In: Proceedings, CSTVA, pp. 30-39 (2014)
[12] Demarco, F., Xuan, J., Berre, D.L., Monperrus, M.: Automatic repair of buggy if conditions and missing preconditions with SMT. In Proceedings, CSTVA, pp. 30-39 (2014)
[13] Desharnais, J., Diallo, N., Ghardallou, W., Frias, M.F., Jaoua, A., Mili, A.: Relational mathematics for relative correctness. In: RAMICS, 2015, volume 9348 of LNCS, Braga, Portugal. Springer, pp 191-208, September (2015) · Zbl 1471.68057
[14] Desharnais, J., Diallo, N., Ghardallou, W., Ali, M.: Definitions and implications. In: Science of Computer Programming, Projecting programs on specifications (2017) · Zbl 1395.68091
[15] Diallo, N.; Ghardallou, W.; Desharnais, J.; Frias, M.; Jaoua, A.; Mili, A., What is a fault? and why does it matter?, ISSE, 19, 219-239 (2017)
[16] Dijkstra, EW, A Discipline of Programming (1976), Englewood Cliffs: Prentice Hall, Englewood Cliffs · Zbl 0368.68005
[17] Ermis, E., Schaef, M., Wies, T.: Error invariants. In: Giannakopoulou, D., Mery, D. (eds.) Proceedings, FM 2012, Number 7436 in LNCS, pp. 187-201 (2012) · Zbl 1372.68061
[18] Frenkel, H., Grumberg, O., Pasareanu, C., Sheinvald, S.: Assume, guarantee or repair. In: Biere, A., Parker, D. (eds.) Proceedings, TACAS 2020, Number 12078 in LNCS. Springer (2020) · Zbl 1507.68186
[19] Gazzola, L.; Micucci, D.; Mariani, L., Automatic software repair: a survey, IEEE Trans. Soft. Eng., 45, 1, 34-67 (2019) · doi:10.1109/TSE.2017.2755013
[20] Ghardallou, W., Diallo, N., Mili, A., Frias, M.: Debugging without testing. In: Proceedings, International Conference on Software Testing, Chicago, IL (April 2016)
[21] Gopinath, R., Alipour, A., Ahmed, I., Jensen, C., Groce, A.: Measuring effectiveness of mutant sets. In: Proceedings, Ninth International Conference on Software Testing, Chicago, IL, April 11-15 (2016)
[22] Gries, D., The Science of Programming (1981), New York: Springer, New York · Zbl 0472.68003 · doi:10.1007/978-1-4612-5983-1
[23] Gupta, R., Pal, S., Kanade, A., Shevade, S.K.: Deepfix: Fixing common c language errors by deep learning. In: Proceedings, AAAI, pp. 1345-1351 (2017)
[24] Hehner, ECR, A Practical Theory of Programming (1992), Englewood Cliffs: Prentice Hall, Englewood Cliffs · Zbl 0793.68002
[25] Hoare, CAR, An axiomatic basis for computer programming, Commun. ACM, 12, 10, 576-583 (1969) · Zbl 0179.23105 · doi:10.1145/363235.363259
[26] Hoare, C.A.R.: Unified theories of programming. In: Mathematical Methods in Program Development. Springer (1997) · Zbl 0884.68011
[27] IEEE Std 7-4.3.2-2003. Ieee standard criteria for digital computers in safety systems of nuclear power generating stations. Technical report, The Institute of Electrical and Electronics Engineers (2003)
[28] Jiang, J.J., Xiong, Y.F., Zhang, H.Y., Gao, Q., Chen, X.C.: Shaping program repair space with existing patches and similar code. In: Proceedings, ISSTA, pp. 298-309 (2018)
[29] Jose, M., Majumdar, R.: Cause clue clauses: error localization using maximum satisfiability. In: Proceedings, PLDI, pp. 437-446 (2011)
[30] Just, R., Jalali, D., Ernst, M.D.: Defects4j: a database of existing faults to enable controlled testing studies for java programs. In: Proceedings. ISSTA 2014, pp. 437-440. CA, USA, San Jose (July 2014)
[31] Ke, Y., Stolee, K.T., Le Goues, C., Brun, Y.: Repairing programs with semantic code search. In: International Conference on Automated Software Engineering (2015)
[32] Khaireddine, B., Martinez, M., Mili, A.: Program repair at arbitrary fault depth. In: Proceedings, ICST 2019, Xi’an, China (April 2019)
[33] Khaireddine, B., Mili, A.: Quantifying faultiness: What does it mean to have \(n\) faults? In: Proceedings, FormaliSE 2021, ICSE 2021 Colocated Conference (May 2021)
[34] Khaireddine, B., Zakharchenko, A., Mili, A.: A generic algorithm for program repair. In: Proceedings, FormaliSE, Buenos Aires, Argentina (May 2017) · Zbl 07727458
[35] Kim, D., Nam, J., Song, J., Kim, S.: Automatic patch generation learned from human-written patches. In: International Conference on Software Engineering (ICSE), pp. 802-811 (2013)
[36] Kim, D., Nam, J., Song, J., Kim, S.: Automatic patch generation learned from human-written patches. In: ICSE, pp. 802-811 (2013)
[37] Koyuncu, A., Liu, K., Bissiande, T.F., Kim, D., Klein, J., Monperrus, M., LeTraon, Y.: Fixminer: Mining relevant fix patterns for automated program repairs. In: Empirical Software Engineering, pp. 1-45 (2020)
[38] Laprie, J.C.: Dependable computing: concepts, challenges, directions. In: Proceedings, COMPSAC (2004)
[39] Le, X.-B.D., Chu, D.-H., Lo, D., Goues, C.L., Visser, W.: S3: Syntax and semantic guided repair synthesis via programming examples. In Proceedings, FSE 2017, Paderborn, Germany, September 4-8 (2017)
[40] LeGoues, C.; Forrest, S.; Weimer, W., Current challenges in automatic software repair, Softw. Qual. J., 21, 3, 421-443 (2013) · doi:10.1007/s11219-013-9208-0
[41] LeGoues, C., Dewey, V.M., Forrest, S., Weimer, W.: A systematic study of automated program repair: fixing 55 out of 105 bugs for $8 each. In: Proceedings, ICSE 2012, pp. 3-13 (2012)
[42] Li, Y., Wang, S., Nguyen, T.N.: Dlfix: context-based code transformation learning for automated program repair. In: Proceedings, ICSE 2020, Seoul, South Korea (May 2020)
[43] Le Goues, C., Nguyen, T., Forrest, S., Weimer, W.: Genprog: a generic method for automated software repair. IEEE Trans. Softw. Eng. 31(1) (2012)
[44] Lin, D., Koppel, J., Chen, A., Solar-Lezma, A.: Quixbugs: a multilingual program repair benchmark set based on the quixey challenge. In: Proceedings, SPALSH (2017)
[45] Le Goues, C.; Pradel, M.; Roychoudhury, A., Automated program repair, Commun. ACM, 62, 12, 56-65 (2019) · doi:10.1145/3318162
[46] Liu, K., et al.: Lsrepair: Live search of fix ingredients for automated program repair. In: Proceedings, 25th Asia-Pacific Software Engineering Conference. IEEE (2018)
[47] Long, F., Rinard, M.: Prophet: automatic patch generation via learning from successful patches. Technical Report Technical Report MIT-CSAIL-TR-2015, MIT (2015)
[48] Long, F., Rinard, M.: Staged program repair with condition synthesis. In: Proceedings, ESEC-FSE, (2015)
[49] Long, F., Rinard, M.: Staged program repair with condition synthesis. In: ESEC-FSE, (2015)
[50] Long, F., Rinard, M.: An analysis of the search spaces for generate-and-validate patch generation systems. In: ICSE 2016 (2016)
[51] Lou, Y., Ghanbari, A., Li, X., Zhang, L., Zhang, H., Hao, D., Zhang, L.: Can automated program repair refine fault localization? A unified debugging approach. In: Proceedings, ISSTA, pp. 75-87 (2020)
[52] Manna, Z., A Mathematical Theory of Computation (1974), New York: McGraw-Hill, New York · Zbl 0353.68066
[53] Martinez M., Monperrus M.: Mining software repair models for reasoning on the search space of automated program fixing. In: Empirical Software Engineering (2013)
[54] Martinez, M., Monperrus, M.: Astor: a program repair library for java. In: Proceedings. ISSTA 2016, pp. 441-444. Saarbrucken, Germany (2016)
[55] Martinez, M., Monperrus, M.: Astor: exploring the design space of generate-and-validate program repair beyond genprog (2018)
[56] Martinez, M., Monperrus, M.: Ultra large repair search space with automatically mined templates: the cardumen mode of astor. In: Proceedings, SSBSE, pp. 65-86 (2018)
[57] Mechtaev, S., Yi, J., Roychoudhury, A.: Angelix: scalable multiline program patch synthesis via symbolic analysis. In: Proceedings, ICSE 2016, Austin, TX (May 2016)
[58] Mili, A., Frias, M., Jaoua, A.: On faults and faulty programs. In: Hoefner, P., Jipsen, P., Kahl, W., Mueller, M.E. (eds.) Proceedings, RAMICS 2014, Volume 8428 of LNCS, pp. 191-207 (2014) · Zbl 1405.68082
[59] Mills, HD; Basili, VR; Gannon, JD; Hamlet, DR, Structured Programming: A Mathematical Approach (1986), Boston: Allyn and Bacon, Boston · Zbl 0875.68207
[60] Monperrus, M.: A critical review of patch generation learned from human written patches: essay on the problem statement and evaluation of automatic software repair. In: Proceedings, ICSE 2014, Hyderabad, India (2014)
[61] Morgan, CC, Programming from Specifications, International Series in Computer Sciences (1998), London: Prentice Hall, London
[62] Musa, JD, Operational profile in software reliability engineering, IEEE Softw., 10, 2, 14-32 (1993) · doi:10.1109/52.199724
[63] Nguyen, H.D.T., Qi, D.W., Roychoudhury, A., Chandra, S.: Semfix: Program repair via semantic analysis. In: Proceedings, ICSE, pp. 772-781 (2013)
[64] Nilizadeh, A., Calvo, M., Leavens, G.T., Cok, D.R.: Generating counter examples in the form of unit tests from hoare-style verification attempts. In: Proceedings, 32nd IEEE/ACM International Conference on Formal Methods in Software Engineering, pp. 124-128. IEEE/ACM, Pittsburgh, PA (2022)
[65] Nilizadeh, A., Calvo, M., Leavens, G.T., Le, X.-B.D.: More reliable test suites for dynamic APR by using counter-examples. In: Proceedings, 32nd IEEE International Symposium on Software Reliability Engineering, pp. 208-219. IEEE (2021)
[66] Nilizadeh, A., Leavens, G.T., Le, X.-B.D., Pasareanu, C.S., Cok, D.R.: Exploring true test overfitting in dynamic automated program repair using formal methods. In: Proceedings, 14th IEEE International Conference on Software Testing, Verification and Validation, pp. 229-240. IEEE (2021)
[67] Qi, Z., Long, F., Achour, S., Rinard, M.: An analysis of patch plausibility and correctness for generate-and-validate patch generation systems. In: Proceedings, ISSTA 2015, Baltimore, MD, July (2015)
[68] Rothenberg, B.-C., Grumberg, O.: Sound and complete mutation-based program repair. In: Proceedings, FM, pp. 593-611 (2016) · Zbl 1427.68052
[69] Rothenberg, B.-C., Grumberg, O.: Must fault localization for program repair. In: Proceedings, CAV, pp. 658-680 (2020) · Zbl 1478.68058
[70] Saha, S., Saha, R., Prasad, M.: Harnessing evolution for multi-hunk program repair. In: Proceedings, ICSE (2019)
[71] Soto, M., Le Goues, C.: Using a probabilistic model to predict bug fixes. In: Proceedings, SANER, pp. 221-231 (2018)
[72] Tan, S.H., Roychoudhury, A.: Relifix: Automated repair of software regressions. In: ICSE (2015)
[73] Weimer, W., Nguyen, T., Le Goues, C., Forrest, S.: Automatically finding patches using genetic programming. In: Proceedings, International Conference on Software Engineering (ICSE), pp. 364-374 (2009)
[74] Wen, W., Chen, J.J., Wu, R., Hao, D., Cheung, S.C.: Context-aware patch generation for better automated program repair. In: Proceedings, ICSE 2018, Gothenburg, Sweden, May 27-June 3 (2018)
[75] Wong, WR; Gao, R.; Li, YH; Abreu, R.; Wotawa, F., A survey of software fault localization, IEEE Trans. Softw. Eng., 42, 707-740 (2016) · doi:10.1109/TSE.2016.2521368
[76] Xin, Q., Reiss, S.P.: Leveraging syntax-related code for automated program repair. In: Proceedings, ASE 2017, Urbana Champaign, IL, October 30-November 3 (2017)
[77] Xiong, Y.F., Wang, J., Yan, R.F., Zhang, J.C., Han, S., Huang, G., Zhang, L.: Precise condition synthesis for program repair. In Proceedings, ICSE, pp. 416-426 (2017)
[78] Xuan, J., Martinez, M., Demarco, F., Clement, M., Lamelas Marcotte, S., Durieux, T., LeBerre, D., Monperrus, M.: Nopol: Automatic repair of conditional statement bugs in java programs. In: IEEE-TSE (2016)
[79] Xuan, J., Monperrus, M.: Test case purification for improving fault localization. In: Proceedings, FSE (2014)
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