Algebraic Canonicity in Non-Classical Logics Zhiguang Zhao Abstract: This thesis is a study of the notion of canonicity (as is understood e.g. in modal logic) from an algebraic viewpoint. The main conceptual contribution of this thesis is a better understanding of the connection between the Jónsson-style canonicity proof and the canonicity-via-correspondence. The main results of this thesis include an ALBA-aided Jónsson-style canonicity proof for inductive inequalities in distributive modal logic and a Jónsson-style canonicity proof for a certain fragment of the distributive modal μ-calculus. Keywords: Logic; Mathematics