English

Hourglass Automata

Formal Languages and Automata Theory 2014-08-27 v1

Abstract

In this paper, we define the class of hourglass automata, which are timed automata with bounded clocks that can be made to progress backwards as well as forwards at a constant rate. We then introduce a new clock update for timed automata that allows hourglass automata to be expressed. This allows us to show that language emptiness remains decidable with this update when the number of clocks is two or less. This is done by showing that we can construct a finite untimed graph using clock regions from any timed automaton that use this new update.

Keywords

Cite

@article{arxiv.1408.5965,
  title  = {Hourglass Automata},
  author = {Yuki Osada and Tim French and Mark Reynolds and Harry Smallbone},
  journal= {arXiv preprint arXiv:1408.5965},
  year   = {2014}
}

Comments

In Proceedings GandALF 2014, arXiv:1408.5560

R2 v1 2026-06-22T05:39:32.541Z