A Linear Temporal Logic of Frequencies on Series of Events
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866914613912666112 |
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| author | Antonelli, Melissa Ceragioli, Leonardo Buda, Alessandro Giuseppe Primiero, Giuseppe |
| author_facet | Antonelli, Melissa Ceragioli, Leonardo Buda, Alessandro Giuseppe Primiero, Giuseppe |
| contents | This paper introduces LTLF, a temporal logic designed to express the frequency properties of event series in a natural but rigorous manner. By introducing novel, measure-sensitive operators, LTLF allows for the evaluation of frequencies and the prediction of future occurrences, thus providing a formal framework to monitor and control quantitative systems, such as machine learning classifiers. The core novelty lies in the introduction of original modal quantifiers associated with a standard Kripke-style semantics. These quantifiers enable the explicit formalization of event series properties and the investigation of the relationship between actual observed frequencies and ideal distributions within a single logical structure. This framework bridges the gap between formal logical reasoning and empirical observation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_10669 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | A Linear Temporal Logic of Frequencies on Series of Events Antonelli, Melissa Ceragioli, Leonardo Buda, Alessandro Giuseppe Primiero, Giuseppe Logic in Computer Science Logic This paper introduces LTLF, a temporal logic designed to express the frequency properties of event series in a natural but rigorous manner. By introducing novel, measure-sensitive operators, LTLF allows for the evaluation of frequencies and the prediction of future occurrences, thus providing a formal framework to monitor and control quantitative systems, such as machine learning classifiers. The core novelty lies in the introduction of original modal quantifiers associated with a standard Kripke-style semantics. These quantifiers enable the explicit formalization of event series properties and the investigation of the relationship between actual observed frequencies and ideal distributions within a single logical structure. This framework bridges the gap between formal logical reasoning and empirical observation. |
| title | A Linear Temporal Logic of Frequencies on Series of Events |
| topic | Logic in Computer Science Logic |
| url | https://arxiv.org/abs/2604.10669 |