On HS=SH and Duality Theorems of Intuitionistic Descriptive Frames Fan Yang Abstract: The variety of Heyting algebras has a nice property that HS=SH. Heyting algebras are the algebraic dual of intuitionistic descriptive frames. The goal of this paper is to define proper dual notions so as to formulate this algebraic properties in the frame language, and to give a frame-based proof of this property and some other duality theorems.