Abstract
Inquisitive first order logic is an extension of first order classical logic, introducing questions and studying the logical relations between questions and quantifiers. It is not known whether is recursively axiomatizable, even though an axiomatization has been found for fragments of the logic. In this paper we define the \—classical antecedent—fragment, together with an axiomatization and a proof of its strong completeness. This result extends the ones presented in the literature and introduces a new approach to study the axiomatization problem for fragments of the logic.
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DOI 10.1007/s10849-021-09341-y
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References found in this work BETA

Inquisitive Semantics.Ivano Ciardelli, Jeroen Groenendijk & Floris Roelofsen - 2018 - Oxford, England: Oxford University Press.
Model Theory.Wilfrid Hodges - 2008 - Stanford Encyclopedia of Philosophy.
Inquisitive Logic.Ivano Ciardelli & Floris Roelofsen - 2011 - Journal of Philosophical Logic 40 (1):55-94.
Semantical Investigations in Heyting's Intuitionistic Logic.Dov M. Gabbay - 1986 - Journal of Symbolic Logic 51 (3):824-824.

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Citations of this work BETA

Coherence in Inquisitive First-Order Logic.Ivano Ciardelli & Gianluca Grilletti - 2022 - Annals of Pure and Applied Logic 173 (9):103155.

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