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arXiv · 2412.01712

Bisequent Calculi for Neutral Free Logic with Definite Descriptions

Andrzej Indrzejczak·Yaroslav Petrukhin
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Abstract

We present a bisequent calculus (BSC) for the minimal theory of definite descriptions (DD) in the setting of neutral free logic, where formulae with non-denoting terms have no truth value. The treatment of quantifiers, atomic formulae and simple terms is based on the approach developed by Pavlovi\'{c} and Gratzl. We extend their results to the version with identity and definite descriptions. In particular, the admissibility of cut is proven for this extended system.

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Andrzej Indrzejczak, Yaroslav Petrukhin. 2024-12-02. Bisequent Calculi for Neutral Free Logic with Definite Descriptions. https://arxiv.org/abs/2412.01712

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