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An efficient exact learning algorithm for ordered binary decision diagrams

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Book cover Algorithmic Learning Theory (ALT 1997)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 1316))

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Abstract

In this paper, we propose a new algorithm which exactly learns ordered binary decision diagrams (OBDDs) with a given variable ordering via equivalence queries and membership queries. Our algorithm uses at most n equivalence queries and at most 2n([log2 m] + 3n) membership queries, where n is the number of nodes in the target reduced OBDD and m is the number of variables. We have reduced the number of membership queries by a factor of m compared with the best known algorithm for this problem due to Gavaldà and Guijarro.

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References

  1. Angluin, D.: Learning regular sets from queries and counterexamples. Information and Computation 75 (1987) 87–106

    Article  Google Scholar 

  2. Bergadano, F., Bshouty, N., Tamon, C., Varricchio, S.: On Learning Branching Programs and Small Circuits. Unpublished manuscript (http://www.cpsc.ucalgary.ca/bshouty/papers.html)

    Google Scholar 

  3. Birkendorf, A., Simon, H.: Using Computational Learning Strategies as a Tool for Combinatorial Optimization. Proc. of the 4th International Symposium on AI and Math. (1996) 18–22

    Google Scholar 

  4. Bshouty, N., Tamon C., Wilson, D.: On Learning Width Two Branching Programs. Proc. of the 9th Annual Conference on Computational Learning Theory (1996) 224–227

    Google Scholar 

  5. Ergün, F., Kumar, S., Rubinfeld, R.: On Learning Bounded-Width Branching Programs. Proc. of the 9th Annual Conference on Computational Learning Theory (1995) 361–368

    Google Scholar 

  6. Gavaldà, R., Guijarro, D.: Learning Ordered Binary Decision Diagrams. Proc. of the 6th International Workshop on Algorithmic Learning Theory (1995) 228–238

    Google Scholar 

  7. Kearns, M., Vazirani, U.: An Introduction to Computational Learning Theory. The MIT Press (1994)

    Google Scholar 

  8. Nakamura, A.: Query Learning of Bounded-Width OBDDs. Proc. of the 7th International Workshop on Algorithmic Learning Theory (1996) 37–50

    Google Scholar 

  9. Rivest, R., Schapire, R.: Inference of Finite Automata Using Homing Sequences. Information and Computation 103 (1993) 299–347

    Google Scholar 

  10. Raghavan, V., Wilkins, D.: Learning p-Branching Programs with Queries. Proc. of the 7th Annual Conference on Computational Learning Theory (1993) 27–36 *** DIRECT SUPPORT *** A0008157 00006

    Google Scholar 

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Ming Li Akira Maruoka

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© 1997 Springer-Verlag Berlin Heidelberg

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Nakamura, A. (1997). An efficient exact learning algorithm for ordered binary decision diagrams. In: Li, M., Maruoka, A. (eds) Algorithmic Learning Theory. ALT 1997. Lecture Notes in Computer Science, vol 1316. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-63577-7_51

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  • DOI: https://doi.org/10.1007/3-540-63577-7_51

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-63577-2

  • Online ISBN: 978-3-540-69602-5

  • eBook Packages: Springer Book Archive

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