We construct an axiomatization for 16 extensions of the logic DL possessing the deductive interpolation property (IPD). It is proved that the weak interpolation property (WIP) is decidable in weakly transitive modal logics. Likewise, the weak amalgamation property is proved decidable for varieties of weakly transitive modal algebras.
机构:
Manchester Metropolitan Univ, Sch Comp Math & IT, Manchester M1 5GD, Lancs, England
Siberian Fed Univ, Math Inst, Krasnoyarsk, RussiaManchester Metropolitan Univ, Sch Comp Math & IT, Manchester M1 5GD, Lancs, England