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arXiv · 1812.05297

Comparing several calculi for first-order infinite-valued {\L}ukasiewicz logic

Alexander S. Gerasimov
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Abstract

From the viewpoint of provability, we compare some Gentzen-type hypersequent calculi for first-order infinite-valued {\L}ukasiewicz logic and for first-order rational Pavelka logic with each other and with H\'ajek'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.

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Alexander S. Gerasimov. 2018-12-13. Comparing several calculi for first-order infinite-valued {\L}ukasiewicz logic. https://doi.org/10.12775/llp.2022.030

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