First-Order Fischer Servi Logic
<|reference_start|>First-Order Fischer Servi Logic: 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.<|reference_end|>
@article{christensen2024first-order,
    title={First-Order Fischer Servi Logic},
    author={Ahmee Christensen},
    journal={arXiv preprint arXiv:2402.06600},
    year={2024},
    archivePrefix={arXiv},
    eprint={2402.06600},
    primaryClass={math.LO cs.LO}
}