Two strong undefinability results in inquisitive and team semantics

Abstract

We prove two (strong) undefinability results for logics based on inquisitive semantics (or its variant, team semantics). Namely: 1) we show the undefinability of intuitionistic implication in extended propositional inquisitive logic with tensor; 2) we show the undefinability of global disjunction in extended propositional dependence logic.