Expressiveness Results for Timed Modal Mu-Calculi
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866909725463937024 |
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| author | Cleaveland, Rance Keiren, Jeroen J. A. Fontana, Peter |
| author_facet | Cleaveland, Rance Keiren, Jeroen J. A. Fontana, Peter |
| contents | This paper establishes relative expressiveness results for several modal mu-calculi interpreted over timed automata. These mu-calculi combine modalities for expressing passage of (real) time with a general framework for defining formulas recursively; several variants have been proposed in the literature. We show that one logic, which we call $L^{rel}_{ν,μ}$, is strictly more expressive than the other mu-calculi considered. It is also more expressive than the temporal logic TCTL, while the other mu-calculi are incomparable with TCTL in the setting of general timed automata. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_04100 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Expressiveness Results for Timed Modal Mu-Calculi Cleaveland, Rance Keiren, Jeroen J. A. Fontana, Peter Logic in Computer Science This paper establishes relative expressiveness results for several modal mu-calculi interpreted over timed automata. These mu-calculi combine modalities for expressing passage of (real) time with a general framework for defining formulas recursively; several variants have been proposed in the literature. We show that one logic, which we call $L^{rel}_{ν,μ}$, is strictly more expressive than the other mu-calculi considered. It is also more expressive than the temporal logic TCTL, while the other mu-calculi are incomparable with TCTL in the setting of general timed automata. |
| title | Expressiveness Results for Timed Modal Mu-Calculi |
| topic | Logic in Computer Science |
| url | https://arxiv.org/abs/2310.04100 |