A Unified Gentzen-style Framework for Until-free LTL
arXiv:2501.00494 · doi:10.4204/EPTCS.415.16
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.
In Proceedings NCL'24, arXiv:2412.20053