Questions and dependency in intuitionistic logic

Questions and dependency in intuitionistic logic

Ciardelli, Ivano (Ludwig Maximilians University)
Iemhoff, Rosalie (Universiteit Utrecht)
Yang, F. (TU Delft Ethics & Philosophy of Technology)

2020

In recent years, the logic of questions and dependencies has been investigated in the closely related frameworks of inquisitive logic and dependence logic. These investigations have assumed classical logic as the background logic of statements, and added formulas expressing questions and dependencies to this classical core. In this paper, we broaden the scope of these investigations by studying questions and dependency in the context of intuitionistic logic. We propose an intuitionistic team semantics, where teams are embedded within intuitionistic Kripke models. The associated logic is a conservative extension of intuitionistic logic with questions and dependence formulas. We establish a number of results about this logic, including a normal form result, a completeness result, and translations to classical inquisitive logic and modal dependence logic.

Dependence logic
Inquisitive logic
Intuitionistic logic
Team semantics

http://resolver.tudelft.nl/uuid:613c26ff-c078-4bc6-8d35-f4c2dcc945c6

https://doi.org/10.1215/00294527-2019-0033

0029-4527

Notre Dame Journal of Formal Logic, 61 (1), 75-115

Institutional Repository

journal article

© 2020 Ivano Ciardelli, Rosalie Iemhoff, F. Yang