Moore-Machine Filtering for Timed and Untimed Pattern Matching

Monitoring is an important body of techniques in runtime verification of real-time, embedded, and cyber-physical systems. Mathematically, the monitoring problem can be formalized as a pattern matching problem against a pattern automaton. Motivated by the needs in embedded applications---especially t...

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Bibliographic Details
Published in:arXiv.org 2019-07
Main Authors: Waga, Masaki, Hasuo, Ichiro
Format: Article
Language:English
Subjects:
Acceleration
Automata theory
Channel capacity
Cyber-physical systems
Embedded systems
Filtration
Microprocessors
Monitoring
Pattern analysis
Pattern matching
Program verification (computers)
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Summary:Monitoring is an important body of techniques in runtime verification of real-time, embedded, and cyber-physical systems. Mathematically, the monitoring problem can be formalized as a pattern matching problem against a pattern automaton. Motivated by the needs in embedded applications---especially the limited channel capacity between a sensor unit and a processor that monitors---we pursue the idea of filtering as preprocessing for monitoring. Technically, for a given pattern automaton, we present a construction of a Moore machine that works as a filter. The construction is automata-theoretic, and we find the use of Moore machines particularly suited for embedded applications, not only because their sequential operation is relatively cheap but also because they are amenable to hardware acceleration by dedicated circuits. We prove soundness (i.e., absence of lost matches), too. We work in two settings: in the untimed one, a pattern is an NFA; in the timed one, a pattern is a timed automaton. The extension of our untimed construction to the timed setting is technically involved, but our experiments demonstrate its practical benefits.
ISSN:2331-8422
DOI:10.48550/arxiv.1810.09633