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A Verified Online Monitor for Metric Temporal Logic with Quantitative Semantics

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Runtime Verification (RV 2020)

Part of the book series: Lecture Notes in Computer Science ((LNPSE,volume 12399))

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Abstract

We investigate the formalization, using the Coq proof assistant, of a procedure for constructing online monitors from specifications written in past-time metric temporal logic (MTL). We employ an algebraic quantitative semantics that encompasses the Boolean and robustness semantics of MTL and we interpret formulas over a discrete temporal domain. The class of Moore machines, a kind of string transducers, is used as a formal model of online monitors. The main result is that there is a compositional construction from formulas to monitors, so that each monitor computes (in an online fashion) the semantic values of the corresponding formula over the input stream. From our Coq formalization, we extract OCaml code for executable online monitors. We have compared the performance of our monitoring framework with Reelay, a state-of-the-art tool for monitoring temporal properties.

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Authors and Affiliations

  1. Rice University, Houston, USA

    Agnishom Chattopadhyay & Konstantinos Mamouras

Authors
  1. Agnishom Chattopadhyay
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  2. Konstantinos Mamouras
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Correspondence to Agnishom Chattopadhyay .

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Editors and Affiliations

  1. University of Southern California, Los Angeles, CA, USA

    Jyotirmoy Deshmukh

  2. AIT Austrian Institute of Technology GmbH, Vienna, Austria

    Dejan Ničković

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Chattopadhyay, A., Mamouras, K. (2020). A Verified Online Monitor for Metric Temporal Logic with Quantitative Semantics. In: Deshmukh, J., Ničković, D. (eds) Runtime Verification. RV 2020. Lecture Notes in Computer Science(), vol 12399. Springer, Cham. https://doi.org/10.1007/978-3-030-60508-7_21

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  • DOI: https://doi.org/10.1007/978-3-030-60508-7_21

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