Maximality of bi-intuitionistic propositional logic

Abstract In the style of Lindström’s theorem for classical first-order logic, this article characterizes propositional bi-intuitionistic logic as maximal (with respect to expressive power) abstract satisfying a certain form compactness, Tarski union property and preservation under bi-asimulations. Since introduces new complexities in intuitionistic setting by adding analogue backwards looking modality, present paper constitutes non-trivial modification previous work done authors (Badia Olkhovikov, 2020, Notre Dame Journal Formal Logic, 61, 11–30).