INTERPOLATION IN GOAL- DIRECTED PROOF SYSTEMS
Michael Gabbay, L. Maksimova · Oxford University Press eBooks · 2005
This chapter studies the interpolation properties for implicational fragment of a variety of substructural, strict modal, and intuitionistic and intermediate logics. The methodology is proof-theoretical and uses a goal directed formulation of these fragments which follows the logic programming style of deduction. More refined as well as new kinds of interpolation theorems are obtained, and new global methods for obtaining interpolation are investigated.