Comparing several calculi for first-order infinite-valued Łukasiewicz logic
arXiv:1812.05297 · doi:10.12775/LLP.2022.030
Abstract
From the viewpoint of provability, we compare some Gentzen-type hypersequent calculi for first-order infinite-valued Łukasiewicz logic and for first-order rational Pavelka logic with each other and with Hájek's Hilbert-type calculi for these logics. The key aspect of our comparison is a density elimination proof for one of the hypersequent calculi considered.
35 pages