A Unified Gentzen-style Framework for Until-free LTL
Logic in Computer Science
2025-01-03 v1
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.
Keywords
Cite
@article{arxiv.2501.00494,
title = {A Unified Gentzen-style Framework for Until-free LTL},
author = {Norihiro Kamide and Sara Negri},
journal= {arXiv preprint arXiv:2501.00494},
year = {2025}
}
Comments
In Proceedings NCL'24, arXiv:2412.20053