English

Set Augmented Finite Automata over Infinite Alphabets

Formal Languages and Automata Theory 2023-11-14 v1

Abstract

A data language is a set of finite words defined on an infinite alphabet. Data languages are used to express properties associated with data values (domain defined over a countably infinite set). In this paper, we introduce set augmented finite automata (SAFA), a new class of automata for expressing data languages. We investigate the decision problems, closure properties, and expressiveness of SAFA. We also study the deterministic variant of these automata.

Keywords

Cite

@article{arxiv.2311.06514,
  title  = {Set Augmented Finite Automata over Infinite Alphabets},
  author = {Ansuman Banerjee and Kingshuk Chatterjee and Shibashis Guha},
  journal= {arXiv preprint arXiv:2311.06514},
  year   = {2023}
}

Comments

This is a full version of a paper with the same name accepted in DLT 2023. Other than the full proofs, this paper contains several new results concerning more closure properties, universality problem, comparison of expressiveness with register automata and class counter automata, and more results on deterministic SAFA

R2 v1 2026-06-28T13:17:59.370Z