First-Order Fischer Servi Logic

Ahmee Christensen

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arXiv · 2402.06600

First-Order Fischer Servi Logic

Ahmee Christensen

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Abstract

We prove the completeness of a first-order analogue of the Fischer Servi logic $\mathsf{FS}$ with respect to its expected birelational semantics. To this end we introduce the notion of the $\textit{trace model}$ and, much like in a canonical model argument, prove a truth lemma. We conclude by examining a number of other first-order Fischer Servi logics, including the first-order analogue of $\mathsf{FSS4}$, whose completeness can be similarly proved.

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BibTeX RIS

Ahmee Christensen. 2024-02-09. First-Order Fischer Servi Logic. https://arxiv.org/abs/2402.06600

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