Questions and dependency in intuitionistic logic

Abstract

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.

References in corpus (4)

• Propositional Logics of Dependence
• Propositional Team Logics
• Modal Dependence Logics: Axiomatizations and Model-theoretic Properties
• Bisimulation in Inquisitive Modal Logic

Cited by in corpus (6)

• On Intermediate Inquisitive and Dependence Logics: An Algebraic Study
• State-based Modal Logics for Free Choice
• Modular SAT-based techniques for reasoning tasks in team semantics
• Constructive validity of a generalized Kreisel-Putnam rule
• Inquisitive Logic as an Epistemic Logic of Knowing How
• Complete logics for elementary team properties