TY - UNPB
T1 - Questions and dependency in intuitionistic logic
AU - Ciardelli, Ivano
AU - Yang, Fan
PY - 2017/4/6
Y1 - 2017/4/6
N2 - 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.
AB - 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.
KW - Inquisitive logic
KW - Dependence logic
KW - team semantics
KW - intuitionistic logic
U2 - 10.48550/arXiv.1704.01866
DO - 10.48550/arXiv.1704.01866
M3 - Working paper
T3 - Logic Group Preprint Series
SP - 1
EP - 39
BT - Questions and dependency in intuitionistic logic
PB - arXiv
ER -