A polynomial time match test for large classes of extended regular expressions
conference contributionposted on 2011-02-07, 14:35 authored by Daniel Reidenbach, Markus L. Schmid
In the present paper, we study the match test for extended regular expressions. We approach this NP-complete problem by introducing a novel variant of two-way multihead automata, which reveals that the complexity of the match test is determined by a hidden combinatorial property of extended regular expressions, and it shows that a restriction of the corresponding parameter leads to rich classes with a polynomial time match test. For presentational reasons, we use the concept of pattern languages in order to specify extended regular expressions. While this decision, formally, slightly narrows the scope of our results, an extension of our concepts and results to more general notions of extended regular expressions is straightforward.
- Computer Science
CitationREIDENBACH, D. and SCHMID, M.L., 2011. A polynomial time match test for large classes of extended regular expressions. IN: Domaratzki, M. and Salomaa, K. (eds.). Lecture Notes in Computer Science, 6482: Implementation and Application of Automata. 15th International Conference, CIAA 2010, Winnipeg, Canada, 12th-15th August, pp. 241-250.
- AM (Accepted Manuscript)
NotesThis is a conference paper. Further details of the conference can be found at: http://www.cs.umanitoba.ca/~ciaa2010/