Preservation theorems for the Blok–Esakia correspondence

Establish systematic preservation theorems for the Blok–Esakia lattice isomorphism between extensions of tense Grz and bi-superintuitionistic logics, in order to determine which additional properties and undecidability results transfer beyond the finite model property and tabularity.

Background

The paper uses the Blok–Esakia isomorphism between the lattice of extensions of tense Grz and the lattice of bi-superintuitionistic logics to transfer undecidability of the finite model property and tabularity. It notes that preservation behavior for other properties has not been studied in sufficient detail, leaving open a systematic characterization of which results transfer through the correspondence.