An infinitary variant of Metric Temporal Logic over dense time domains

Mathematical Logic Quarterly 50 (3):249 (2004)
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Abstract

We introduce a complete and cut-free proof system for a sufficiently expressive fragment of Metric Temporal Logic over dense time domains in which a schema of induction is provable. So doing we extend results previously obtained by Montagna et al. to unbounded temporal operators

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A two‐dimensional metric temporal logic.Stefano Baratella & Andrea Masini - 2020 - Mathematical Logic Quarterly 66 (1):7-19.
A Natural Deduction Calculus for S4.2.Simone Martini, Andrea Masini & Margherita Zorzi - 2024 - Notre Dame Journal of Formal Logic 65 (2):127-150.

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