XU Weifeng, LIU Shufen, WANG Xiaoyan, “Quantitative Verification of Knowledge Precondition for Open System,” Chinese Journal of Electronics, vol. 25, no. 2, pp. 227-233, 2016, doi: 10.1049/cje.2016.03.006
Citation: XU Weifeng, LIU Shufen, WANG Xiaoyan, “Quantitative Verification of Knowledge Precondition for Open System,” Chinese Journal of Electronics, vol. 25, no. 2, pp. 227-233, 2016, doi: 10.1049/cje.2016.03.006

Quantitative Verification of Knowledge Precondition for Open System

doi: 10.1049/cje.2016.03.006
Funds:  This work is supported by the National Natural Science Foundation of China (No.60973041).
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  • Corresponding author: WANG Xiaoyan (corresponding author) was born in Jilin Province, China, in 1977. She received her Ph.D. degree from Jilin University in 2008 in computer science and technology. Currently she is a lecturer of college of computer science and technology in Jilin University. Her research interests include MDA technology, network management technology and cloud computing (Email:wangxy@jlu.edu.cn)
  • Received Date: 2014-04-01
  • Rev Recd Date: 2014-05-27
  • Publish Date: 2016-03-10
  • A quantitative verification method is proposed to quantitatively verify knowledge precondition of actions and plans. Probability epistemic game structure (PEGS) is proposed to model knowledge preconditions in open systems, an extension of concurrent game structure with probabilistic transition. We introduce a probability operator P into Alternating temporal epistemic logic (ATEL) and define a Probability alternating-time temporal epistemic logic (PATEL) for quantitatively model checking the properties of PEGS. We designed an algorithm to compute the probability aiming at model checking verification problems of PATEL based on DTMC and CTMC. We convert a portion of the PATEL verification problems into PATL problems by defining the knowledge formulas Kaφ, EAsφ and CAsφ as atomic propositions. We study a train controller using PRISM-games to demonstrate the applicability of above quantitative verification method.
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