English

On Termination for Faulty Channel Machines

Information Theory 2016-07-07 v1 Computational Complexity math.IT

Abstract

A channel machine consists of a finite controller together with several fifo channels; the controller can read messages from the head of a channel and write messages to the tail of a channel. In this paper, we focus on channel machines with insertion errors, i.e., machines in whose channels messages can spontaneously appear. Such devices have been previously introduced in the study of Metric Temporal Logic. We consider the termination problem: are all the computations of a given insertion channel machine finite? We show that this problem has non-elementary, yet primitive recursive complexity.

Keywords

Cite

@article{arxiv.0802.2839,
  title  = {On Termination for Faulty Channel Machines},
  author = {Patricia Bouyer and Nicolas Markey and Joël Ouaknine and Philippe Schnoebelen and James Worrell},
  journal= {arXiv preprint arXiv:0802.2839},
  year   = {2016}
}
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