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Satisfiability Degree Analysis for Transition System

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Artificial Intelligence and Computational Intelligence (AICI 2010)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 6319))

Abstract

Classical model checking is not capable of solving the situation of uncertain systems or fault-tolerant systems which occur in the real world commonly. The technique of satisfiability degree (SD) for model checking is a efficient way to solve this problem. Finite paths transition system (FPTS) for calculating satisfiability degree of a LTL logic formula is given. Then, a more general situation about discrete-time Markov chains (DTMCs) is discussed. Then a case named leader election shows the practicability of satisfiability degree for transition system, which cannot be solved by classical model checking.

This work is supported by the Funds NSFC 60973049 and 60635020.

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References

  1. Luo, G.M., Yin, C.Y., Hu, P.: An algorithm for calculating the satisfiability degree. In: Proceedings of the 2009 Sixth International Conference on Fuzzy Systems and Knowledge Discovery (FSKD 2009), vol. 7, pp. 322–326 (2009)

    Google Scholar 

  2. Yin, C.Y., Luo, G.M., Hu, P.: Backtracking search algorithm for satisfiability degree calculation. In: Proceedings of the 2009 Sixth International Conference on Fuzzy Systems and Knowledge Discovery (FSKD 2009), vol. 2, pp. 3–7 (2009)

    Google Scholar 

  3. Hu, P., Luo, G.M., Yin, C.Y.: Computation of satisfiability degree based on CNF. In: Proceedings of the 2009 Sixth International Conference on Fuzzy Systems and Knowledge Discovery (FSKD 2009), vol. 6, pp. 142–146 (2009)

    Google Scholar 

  4. Clarke, E.M., Orna, G., Peled, D.A.: Model Checking, pp. 13–24. The MIT Press, Cambridge (1999)

    Google Scholar 

  5. Huth, M.l., Ryan, M.: Logic in Computer Science Modeling and Reasoning about Systems, 2nd edn., pp. 172–186 (2005)

    Google Scholar 

  6. Cormen, T.H., Leiserson, C.E., Rivest, R.L., Stein, C.: Intruduction to algorithm, 2nd edn., pp. 540–549 (2002)

    Google Scholar 

  7. Itai, A., Rodeh, M.: Symmetry Breaking in Distributed Networks. Information and Computation 88(1), 60–87 (1990)

    Article  MathSciNet  MATH  Google Scholar 

  8. Hong, I., Sohn, S.H., Lee, J.K., et al.: DFS algorithm with ranking based on genetic algorithm in UHF portable system. In: 2009 9th International Symposium on Communications and Information Technology, ISCIT 2009, pp. 454–459 (2009)

    Google Scholar 

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Zhao, Y., Luo, G. (2010). Satisfiability Degree Analysis for Transition System. In: Wang, F.L., Deng, H., Gao, Y., Lei, J. (eds) Artificial Intelligence and Computational Intelligence. AICI 2010. Lecture Notes in Computer Science(), vol 6319. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-16530-6_4

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  • DOI: https://doi.org/10.1007/978-3-642-16530-6_4

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-16529-0

  • Online ISBN: 978-3-642-16530-6

  • eBook Packages: Computer ScienceComputer Science (R0)

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