  In this paper, we study logics of dependence on the propositional level. We
prove that several interesting propositional logics of dependence, including
propositional dependence logic, propositional intuitionistic dependence logic
as well as propositional inquisitive logic, are expressively complete and have
disjunctive or conjunctive normal forms. We provide deduction systems and prove
the completeness theorems for these logics.
