English

Revisiting Reachability in Timed Automata

Logic in Computer Science 2017-04-20 v2

Abstract

We revisit a fundamental result in real-time verification, namely that the binary reachability relation between configurations of a given timed automaton is definable in linear arithmetic over the integers and reals. In this paper we give a new and simpler proof of this result, building on the well-known reachability analysis of timed automata involving difference bound matrices. Using this new proof, we give an exponential-space procedure for model checking the reachability fragment of the logic parametric TCTL. Finally we show that the latter problem is NEXPTIME-hard.

Keywords

Cite

@article{arxiv.1702.03450,
  title  = {Revisiting Reachability in Timed Automata},
  author = {Karin Quaas and Mahsa Shirmohammadi and James Worrell},
  journal= {arXiv preprint arXiv:1702.03450},
  year   = {2017}
}
R2 v1 2026-06-22T18:15:43.065Z