Abstract
Efficient pattern matching algorithms for traces and their dependence graphs are proposed. Pattern matching problems related to problems of recognizing frequent patterns in structured data and counting the number of trace object windows that include a pattern are considered.
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Y. Chi, H. Wang, P. S. Yu, and R. R. Muntz, “Catch the moment: Maintaining closed frequent itemsets over a date stream sliding window,” Knowledge and Inform. Systems, 10, No. 3, 265–294 (2006).
H-F. Li, M-K. Shan, S-Y. Lee, “DSM-FI: An efficient algorithm for mining frequent itemsets in data streams,” Knowledge and Inform. Systems, 17, No. 1 (2008).
C. Ba, M. H. Ferrari, and M. A. Musicante, “Composing Web Services with PEWS: A trace-theoretical approach,” in: 4th Europ. Conf. on WEB Services (2006).
H. Mannila, H. Toivonen, and A. Verkamo, “Discovering frequent episodes in sequences,” in: Proc. KDD Conf. (1955).
A. Avellone and M. Goldwurm, “Analysis of algorithms for the recognition of rational and context-free trace languages,” Theoretical Inform. and Appl., 32, 141–152 (1998).
Y. Chi, R. Muntz, S. Nijssen, and J. Kok, “Frequent subtree mining: An overview,” Fundamenta Inform., 21, 161–198 (2001).
M. Crochemore and L. Ilie, “Maximal repetitions in strings,” J. of Comput. and System. Sci., 74, 796–807 (2008).
L. Boasson, P. Cegielski, I. Guessarian, and Y. Matiyasevich, “Window-accumulated subsequence problem is linear,” Annals of Pure and Appl. Logic, 113, 74–87 (2001).
P. Cegielski, I. Guessarian, and Y. Matiyasevich, “Tree inclusion problems,” RAIRO-Theoretical Inform. and Appl., 42, 5–20 (2008).
I. Guessarian and P. Cegielski, “Tree inclusions in windows and slices,” in: CSIT Conf. (2000).
J. Messner, “Pattern matching in trace monoids,” Symposium on Theoretical Aspects of Comput. Sci. (1997).
V. Dikert and G. Rozenberg, The Book of Traces: Handbook of Formal Languages, Springer, N.Y. (1997).
A. A. Letichevsky, “On the equivalence of automata over a semigroup,” Teoret. Kibernetika, 6, 3–71 (1970).
K. V. Shakhbazyan and Yu. H. Shoukourian, “On process languages in finite graphs,” J. of Mathemat. Sci., 101, No. 4, 205–215 (2000).
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Translated from Kibernetika i Sistemnyi Analiz, No. 4, pp. 31–38, July–August 2010.
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Shahbazyan, K.V., Shoukourian, Y.H. Inclusion problems in trace monoids. Cybern Syst Anal 46, 546–553 (2010). https://doi.org/10.1007/s10559-010-9231-0
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DOI: https://doi.org/10.1007/s10559-010-9231-0