- We proposed the cost effective (in sense of gate number) asynchronous two-level logic. It is based on AND-OR implementation of minimized logic functions. We formulated and proved the product term minimization constraint that ensures the logic correct behaviour. We pointed out the existing tool that yields the term minimization under the constraint formulated. We processed examples and generated asynchronous two-level logic by applying our approach and known ones. The implementation complexity was compared. Using our approach, we achieved significant improvement.