An Efficient Exact Learning Algorithm for Ordered Binary Decision Diagrams

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 2 n ([log_2 m ] + 3 n ) 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.

Cite

Text

Nakamura. "An Efficient Exact Learning Algorithm for Ordered Binary Decision Diagrams." International Conference on Algorithmic Learning Theory, 1997. doi:10.1007/3-540-63577-7_51

Markdown

[Nakamura. "An Efficient Exact Learning Algorithm for Ordered Binary Decision Diagrams." International Conference on Algorithmic Learning Theory, 1997.](https://mlanthology.org/alt/1997/nakamura1997alt-efficient/) doi:10.1007/3-540-63577-7_51

BibTeX

@inproceedings{nakamura1997alt-efficient,
  title     = {{An Efficient Exact Learning Algorithm for Ordered Binary Decision Diagrams}},
  author    = {Nakamura, Atsuyoshi},
  booktitle = {International Conference on Algorithmic Learning Theory},
  year      = {1997},
  pages     = {307-322},
  doi       = {10.1007/3-540-63577-7_51},
  url       = {https://mlanthology.org/alt/1997/nakamura1997alt-efficient/}
}