English

A Boyer-Moore Type Algorithm for Timed Pattern Matching

Formal Languages and Automata Theory 2018-10-22 v3

Abstract

The timed pattern matching problem is formulated by Ulus et al. and has been actively studied since, with its evident application in monitoring real-time systems. The problem takes as input a timed word/signal and a timed pattern (specified either by a timed regular expression or by a timed automaton); and it returns the set of those intervals for which the given timed word, when restricted to the interval, matches the given pattern. We contribute a Boyer-Moore type optimization in timed pattern matching, relying on the classic Boyer-Moore string matching algorithm and its extension to (untimed) pattern matching by Watson and Watson. We assess its effect through experiments; for some problem instances our Boyer-Moore type optimization achieves speed-up by two times, indicating its potential in real-world monitoring tasks where data sets tend to be massive.

Keywords

Cite

@article{arxiv.1606.07207,
  title  = {A Boyer-Moore Type Algorithm for Timed Pattern Matching},
  author = {Masaki Waga and Takumi Akazaki and Ichiro Hasuo},
  journal= {arXiv preprint arXiv:1606.07207},
  year   = {2018}
}
R2 v1 2026-06-22T14:32:22.597Z