2021
DOI: 10.1007/978-3-030-72016-2_18
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Algebraic Quantitative Semantics for Efficient Online Temporal Monitoring

Abstract: We investigate efficient algorithms for the online monitoring of properties written in metric temporal logic (MTL). We employ an abstract algebraic semantics based on semirings. It encompasses the Boolean semantics and a quantitative semantics capturing the robustness of satisfaction, which is based on the max-min semiring over the extended real numbers. We provide a precise equational characterization of the class of semirings for which our semantics can be viewed as an approximation to an alternative semanti… Show more

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Cited by 8 publications
(1 citation statement)
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“…The way bit vectors are used (setting the lowest-order bit, shifting, and reading high-order bits) is similar to how queues and sliding windows are used for runtime verification with metric temporal logic (MTL) [7,15,32,33]. We note that MTL involves constructs that specify time durations with intervals of the form [đť‘š, đť‘›], which are akin to the bounded repetition operators {đť‘š, đť‘›} of regexes.…”
Section: Nca Execution With Bitmentioning
confidence: 99%
“…The way bit vectors are used (setting the lowest-order bit, shifting, and reading high-order bits) is similar to how queues and sliding windows are used for runtime verification with metric temporal logic (MTL) [7,15,32,33]. We note that MTL involves constructs that specify time durations with intervals of the form [đť‘š, đť‘›], which are akin to the bounded repetition operators {đť‘š, đť‘›} of regexes.…”
Section: Nca Execution With Bitmentioning
confidence: 99%