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arXiv · 2501.00494

A Unified Gentzen-style Framework for Until-free LTL

Norihiro Kamide·Sara Negri
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Abstract

A unified Gentzen-style framework for until-free propositional linear-time temporal logic is introduced. The proposed framework, based on infinitary rules and rules for primitive negation, can handle uniformly both a single-succedent sequent calculus and a natural deduction system. Furthermore, an equivalence between these systems, alongside with proofs of cut-elimination and normalization theorems, is established.

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Norihiro Kamide, Sara Negri. 2024-12-31. A Unified Gentzen-style Framework for Until-free LTL. https://doi.org/10.4204/eptcs.415.16

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