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Factor Oracles

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Implementation and Application of Automata (CIAA 2006)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 4094))

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Abstract

The factor oracle is a relatively new data structure for the set of factors of a string which has been introduced by Allauzen, Crochemore, and Raffinot in 1999. It may recognize non-factors (hence the name “oracle”) but its implementational simplicity and experimental behaviour are stunning; factor oracle based string matching has been conjectured optimal on average. However, its structure is not well understood. We take important steps in clarifying its structure by explaining how it can be obtained as a quotient of the trie for the set of factors. When seen this way, all known properties of the factor oracle become simple observations. Also, we introduce a framework where various oracles can be compared. The factor oracle is better than several natural ones.

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Author information

Authors and Affiliations

  1. Institut Gaspard-Monge, Université de Marne-la-Vallée, F-77454 Cedex 2, Marne-la-Vallée, France

    Maxime Crochemore

  2. Department of Computer Science, University of Western Ontario, N6A 5B7, London, Ontario, Canada

    Lucian Ilie & Emine Seid-Hilmi

Authors
  1. Maxime Crochemore
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  2. Lucian Ilie
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  3. Emine Seid-Hilmi
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Editor information

Editors and Affiliations

  1. Department of Computer Science, University of California, Santa Barbara

    Oscar H. Ibarra

  2. Dept. of Computer Science, Kainan University, Taoyuan, Taiwan, R.O.C.

    Hsu-Chun Yen

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© 2006 Springer-Verlag Berlin Heidelberg

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Crochemore, M., Ilie, L., Seid-Hilmi, E. (2006). Factor Oracles. In: Ibarra, O.H., Yen, HC. (eds) Implementation and Application of Automata. CIAA 2006. Lecture Notes in Computer Science, vol 4094. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11812128_9

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  • DOI: https://doi.org/10.1007/11812128_9

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-37213-4

  • Online ISBN: 978-3-540-37214-1

  • eBook Packages: Computer ScienceComputer Science (R0)

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