English

A Set Automaton to Locate All Pattern Matches in a Term

Formal Languages and Automata Theory 2021-06-30 v1

Abstract

Term pattern matching is the problem of finding all pattern matches in a subject term, given a set of patterns. Finding efficient algorithms for this problem is an important direction for research [19]. We present a new set automaton solution for the term pattern matching problem that is based on match set derivatives where each function symbol in the subject pattern is visited exactly once. The algorithm allows for various traversal patterns over the subject term and is particularly suited to search the subject term in parallel.

Keywords

Cite

@article{arxiv.2106.15311,
  title  = {A Set Automaton to Locate All Pattern Matches in a Term},
  author = {Rick Erkens and Jan Friso Groote},
  journal= {arXiv preprint arXiv:2106.15311},
  year   = {2021}
}

Comments

Submitted to ICTAC 2021. Contains appendix with proofs

R2 v1 2026-06-24T03:42:46.935Z