Residuated Basic Logic II. Interpolation, Decidability and Embedding

We prove that the sequent calculus LRBL for residuated basic logic RBL has strong finite model property, and that intuitionistic logic can be embedded into basic propositional logic BPL. Thus RBL is decidable. Moreover, it follows that the class of residuated basic algebras has the finite embeddability property, and that BPL is PSPACE-complete, and that intuitionistic logic can be embedded into the modal logic K4.