Compressed automata for dictionary matching

Tomohiro I, Takaaki Nishimoto, Shunsuke Inenaga, Hideo Bannai, Masayuki Takeda

Research output: Contribution to journalArticlepeer-review

7 Citations (Scopus)


We address a variant of the dictionary matching problem where the dictionary is represented by a straight line program (SLP). For a given SLP-compressed dictionary D of size n and height h representing m patterns of total length N, we present an O(n2log N)-size representation of Aho-Corasick automaton which recognizes all occurrences of the patterns in D in amortized O(h+m) running time per character. We also propose an algorithm to construct this compressed Aho-Corasick automaton in O(n3log n log N) time and O(n2log N) space. In a spacial case where D represents only a single pattern, we present an O(n log N)-size representation of the Morris-Pratt automaton which permits us to find all occurrences of the pattern in amortized O(h) running time per character, and we show how to construct this representation in O(n3log n log N) time with O(n2log N) working space.

Original languageEnglish
Pages (from-to)30-41
Number of pages12
JournalTheoretical Computer Science
Publication statusPublished - May 1 2015

All Science Journal Classification (ASJC) codes

  • Theoretical Computer Science
  • General Computer Science


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