Abstract
According to the topological structure of circuit and the characteristics of the enumeration tree, with the in-depth study of the reversed depth set enumeration tree method to compute conflict sets (CSRDSE), an efficient approach for counting conflict sets combining failure probability with SAT (CSCFPS) is proposed. Firstly, this paper presents the concept of fault output component set, possible fault component set, non-fault component set, explained fault component set, failure probability and non-conflict set theorem. Secondly, the OrderedCS-FP algorithm is came up. This algorithm calculates an ordered component set where the components are organized in descending order of failure probability. Finally, this paper puts forward the CSCFPS algorithm. In this algorithm, the SE-Tree is generated on the basis of the ordered component set, so minimal conflict set can be visited as early as possible to avoid the access to redundant nodes. On the grounds of the non-conflict set theorem, the sub-tree corresponding to the non-fault component set is deleted, decreasing the traversal to these nodes. Thus, the number of calling the SAT solver is greatly lessened. The experimental results show that the efficiency of this method is significantly improved.
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
Similar content being viewed by others
References
Cai, S., Su, K.: Configuration checking with aspiration in local search for SAT. In: Proceedings of the Twenty-Sixth AAAI Conference on Artificial Intelligence, 22–26 July 2012, Toronto, Ontario, Canada, pp. 434–440 (2012)
Console, L., Dressler, O.: Model-based diagnosis in the real world: lessons learned and challenges remaining. In: Proceedings of the Sixteenth International Joint Conference on Artificial Intelligence, IJCAI 1999, Stockholm, Sweden, 31 July–6 August 1999, vols. 2, 1450 p., pp. 1393–1400 (1999)
Dai, S., Sun, H.: Computing conflict sets for model-based diagnosis. Control Theory Appl. 20(4), 630–632 (2003)
Fang, M.: A practical method to identify the minimal conflict sets. J. Hefei Univ. Technol. 22(1), 39–43 (1999)
Genesereth, M.R.: The use of design descriptions in automated diagnosis. Artif. Intell. 24(1–3), 411–436 (1984)
Greiner, R., Smith, B.A., Wilkerson, R.W.: A correction to the algorithm in reiter’s theory of diagnosis. Artif. Intell. 41(1), 79–88 (1989)
Haenni, R.: A query-driven anytime algorithm for argumentative and abductive reasoning. In: Bustard, D., Liu, W., Sterritt, R. (eds.) Soft-Ware 2002. LNCS, vol. 2311, pp. 114–127. Springer, Heidelberg (2002). https://doi.org/10.1007/3-540-46019-5_9
Hou, A.: A theory of measurement in diagnosis from first principles. Artif. Intell. 65(2), 281–328 (1994)
Kleer, J.D.: An assumption-based TMS. Artif. Intell. 28(2), 127–162 (1986)
Liu, M., Ouyang, D., Cai, S., Zhang, L.: Efficient zonal diagnosis with maximum satisfiability. Sci. China Inf. Sci. 61(11), 112101 (2018)
Liu, M., Ouyang, D., Liu, B.: Grouped diagnosis approach using the feature of problem. Acta Electron. Sin. 46(3), 589–594 (2018)
Luan, S., Dai, G.: Approach to diagnosing a system with structure information. Chin. J. Comput. 365, 178–189 (2005)
Nieuwenhuis, R., Oliveras, A., Tinelli, C.: Solving SAT and SAT modulo theories: from an abstract davis-putnam-logemann-loveland procedure to DPLL(T). J. ACM 53(6), 937–977 (2006)
Ouyang, D., Liu, B., Zhou, J., Zhang, L.: A method of computing minimal conflict sets combining the structure property with the anti-depth SE-Tree. Acta Electron. Sin. 45(5), 1175–1181 (2017)
Reiter, R.: A theory of diagnosis from first principles. Artif. Intell. 32(1), 57–95 (1987)
Wang, Y., Cai, S., Yin, M.: Two efficient local search algorithms for maximum weight clique problem. In: Proceedings of the Thirtieth AAAI Conference on Artificial Intelligence, 12–17 February 2016, Phoenix, Arizona, USA, pp. 805–811 (2016)
Wang, Y., Cai, S., Yin, M.: Local search for minimum weight dominating set with two-level configuration checking and frequency based scoring function. J. Artif. Intell. Res. 58, 267–295 (2017)
Wang, Y., Cai, S., Yin, M.: New heuristic approaches for maximum balanced biclique problem. Inf. Sci. 432, 362–375 (2018)
Wotawa, F.: A variant of reiter’s hitting-set algorithm. Inf. Process. Lett. 79(1), 45–51 (2001)
Zhang, J., Ma, F., Zhang, Z.: Faulty interaction identification via constraint solving and optimization. In: Cimatti, A., Sebastiani, R. (eds.) SAT 2012. LNCS, vol. 7317, pp. 186–199. Springer, Heidelberg (2012). https://doi.org/10.1007/978-3-642-31612-8_15
Zhao, X., Ouyang, D.: A method of combining SE-tree to compute all minimal hitting sets. Progress Nat. Sci.: Mater. Int. 16(2), 169–174 (2006)
Zhao, X., Ouyang, D.: Deriving all minimal conflict sets using satisfiability algorithms. Acta Electron. Sin. 37(4), 804–810 (2009)
Acknowledgements
This work was supported by the National Natural Science Foundation of China (61672261, 61502199, 61402196, 61373052).
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2018 Springer Nature Switzerland AG
About this paper
Cite this paper
Tao, Y., Ouyang, D., Liu, M., Zhang, L. (2018). An Efficient Approach for Computing Conflict Sets Combining Failure Probability with SAT. In: Liu, W., Giunchiglia, F., Yang, B. (eds) Knowledge Science, Engineering and Management. KSEM 2018. Lecture Notes in Computer Science(), vol 11062. Springer, Cham. https://doi.org/10.1007/978-3-319-99247-1_5
Download citation
DOI: https://doi.org/10.1007/978-3-319-99247-1_5
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-99246-4
Online ISBN: 978-3-319-99247-1
eBook Packages: Computer ScienceComputer Science (R0)