First-order inquisitive pair logic. Sano, K. In Proceedings of the Fourth Indian Conference on Logic and its Applications, 2011.
First-order inquisitive pair logic [link]Paper  doi  abstract   bibtex   
We introduce two different calculi for a first-order extension of inquisitive pair semantics (Groenendijk 2008): Hilbert-style calculus and Tree-sequent calculus. These are first-order generalizations of (Mascarenhas 2009) and (Sano 2009), respectively. First, we show the strong completeness of our Hilbert-style calculus via canonical models. Second, we establish the completeness and soundness of our Tree-sequent calculus. As a corollary of the results, we semantically establish that our Tree-sequent calculus enjoys a cut-elimination theorem.
@inproceedings{Sano:11,
	abstract = {We introduce two different calculi for a first-order extension of inquisitive pair semantics (Groenendijk 2008): Hilbert-style calculus and Tree-sequent calculus. These are first-order generalizations of (Mascarenhas 2009) and (Sano 2009), respectively. First, we show the strong completeness of our Hilbert-style calculus via canonical models. Second, we establish the completeness and soundness of our Tree-sequent calculus. As a corollary of the results, we semantically establish that our Tree-sequent calculus enjoys a cut-elimination theorem.},
	author = {Katsuhiko Sano},
	booktitle = {Proceedings of the Fourth Indian Conference on Logic and its Applications},
	date-added = {2021-08-17 00:00:00 +0000},
	date-modified = {2021-08-17 00:00:00 +0000},
	doi = {10.1007/978-3-642-18026-2_13},
	keywords = {inquisitive logic},
	title = {First-order inquisitive pair logic},
	url = {https://link.springer.com/chapter/10.1007%2F978-3-642-18026-2_13},
	year = {2011},
	Bdsk-Url-1 = {https://link.springer.com/chapter/10.1007%2F978-3-642-18026-2_13},
	Bdsk-Url-2 = {https://doi.org/10.1007/978-3-642-18026-2_13}}

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