New schematic extension system GNMTL (GNBL) from system MTL (BL)

The new schematic extension systems GNMTL (GNBL) from system MTL (BL) are introduced respectively based on Godel negation operator. GNMTL (GNBL) is formulizing the logic of a sort of left-continuous (continuous) t-norms, which contain Godel t-norm and product t-norm; then the schematic extensions of famous logic system God and Pi from GNMTL (GNBL) are gained respectively, meanwhile, several equivalent forms of Godel logic system is given.