English

The Cost of Monitoring Alone

Logic in Computer Science 2019-02-15 v1 Formal Languages and Automata Theory

Abstract

We compare the succinctness of two monitoring systems for properties of infinite traces, namely parallel and regular monitors. Although a parallel monitor can be turned into an equivalent regular monitor, the cost of this transformation is a double-exponential blowup in the syntactic size of the monitors, and a triple-exponential blowup when the goal is a deterministic monitor. We show that these bounds are tight and that they also hold for translations between corresponding fragments of Hennessy-Milner logic with recursion over infinite traces.

Keywords

Cite

@article{arxiv.1902.05152,
  title  = {The Cost of Monitoring Alone},
  author = {Luca Aceto and Antonis Achilleos and Adrian Francalanza and Anna Ingólfsdóttir and Karoliina Lehtinen},
  journal= {arXiv preprint arXiv:1902.05152},
  year   = {2019}
}

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22 pages