Controlling the Observation Class of a Runtime Monitor: Selection, Self-Tuning, and Physical Grounding

Engineering companion establishing that a runtime monitor's observation class is a controlled quantity. Where prior runtime verification fixes the observation class, this paper steers it, for a bounded-eventuality temporal implication. Three layers, over a machine-checked generative signature space (the 390625 -> 50000 -> 8 eight-tick enumeration): (1) Optimal monitor-type selection over the exhaustively enumerated catalogue, minimising diagnostic ambiguity and opener sensitivity, with the finest timing-error resolution among the minimisers and an analytic stability radius. (2) A closed self-tuning loop recovering timing phase by classical symbol-synchronisation machinery (early-late gate, Gardner, Mueller-Mueller detectors). The proven result is almost-sure LOCAL convergence to the true phase within a basin of attraction; global convergence of the band-counting detector is CONJECTURED and witnessed only on a finite simulation prefix. (3) A causal-coherence penalty forbidding convergence to an epistemically invalid operating point -- the physical boundary that keeps tuning from manufacturing truth. Preprint; a version has been prepared for submission. Theory companion: "Observation-Relative Monitorability of Bounded Temporal Implication" (co-deposited). --- Version note (this version): this version incorporates a citation-integrity review of the manuscript. Unsupported or inaccurate attributions were corrected, bibliography entries were cleaned up (including retyping one entry to its correct publication venue), and a citation-priority inconsistency with a companion paper (regarding attribution of a shared reproducibility script) was corrected. No change to the central scientific results is intended.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-09-29
DOI
https://doi.org/10.5281/zenodo.23041626
Primary Topic
Formal Methods in Verification
Type
preprint
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preprint

Controlling the Observation Class of a Runtime Monitor: Selection, Self-Tuning, and Physical Grounding

Giuseppe Francesco Italiano, Davide Bragetti, Carlo Bragetti
Zenodo (CERN European Organization for Nuclear Research)
Formal Methods in Verification
preprint

Controlling the Observation Class of a Runtime Monitor: Selection, Self-Tuning, and Physical Grounding

Giuseppe Francesco Italiano, Davide Bragetti, Carlo Bragetti
preprint en

Abstract

Engineering companion establishing that a runtime monitor's observation class is a controlled quantity. Where prior runtime verification fixes the observation class, this paper steers it, for a bounded-eventuality temporal implication. Three layers, over a machine-checked generative signature space (the 390625 -> 50000 -> 8 eight-tick enumeration): (1) Optimal monitor-type selection over the exhaustively enumerated catalogue, minimising diagnostic ambiguity and opener sensitivity, with the finest timing-error resolution among the minimisers and an analytic stability radius. (2) A closed self-tuning loop recovering timing phase by classical symbol-synchronisation machinery (early-late gate, Gardner, Mueller-Mueller detectors). The proven result is almost-sure LOCAL convergence to the true phase within a basin of attraction; global convergence of the band-counting detector is CONJECTURED and witnessed only on a finite simulation prefix. (3) A causal-coherence penalty forbidding convergence to an epistemically invalid operating point -- the physical boundary that keeps tuning from manufacturing truth. Preprint; a version has been prepared for submission. Theory companion: "Observation-Relative Monitorability of Bounded Temporal Implication" (co-deposited). --- Version note (this version): this version incorporates a citation-integrity review of the manuscript. Unsupported or inaccurate attributions were corrected, bibliography entries were cleaned up (including retyping one entry to its correct publication venue), and a citation-priority inconsistency with a companion paper (regarding attribution of a shared reproducibility script) was corrected. No change to the central scientific results is intended.

Zenodo (CERN European Organization for Nuclear Research)
Libera Università Internazionale degli Studi Sociali Guido Carli (IT), Sapienza University of Rome (IT)
Formal Methods in Verification
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Controlling the Observation Class of a Runtime Monitor: Selection, Self-Tuning, and Physical Grounding — Giuseppe Francesco Italiano, Davide Bragetti, et al. · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS