An Efficient Approach for Computing Conflict Sets Combining Failure Probability with SAT

  • Ya Tao
  • Dantong Ouyang
  • Meng Liu
  • Liming ZhangEmail author
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 11062)


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.


Model-based diagnosis Satisfiability (SAT) Set enumeration tree (SE-tree) Conflict set Failure probability 



This work was supported by the National Natural Science Foundation of China (61672261, 61502199, 61402196, 61373052).


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Copyright information

© Springer Nature Switzerland AG 2018

Authors and Affiliations

  • Ya Tao
    • 1
    • 2
  • Dantong Ouyang
    • 1
    • 2
  • Meng Liu
    • 1
    • 2
  • Liming Zhang
    • 1
    • 2
    Email author
  1. 1.Key Laboratory of Symbolic Computation and Knowledge Engineering of Ministry of EducationJilin UniversityChangchunChina
  2. 2.School of Computer Science and TechnologyJilin UniversityChangchunChina

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