Give a counterexample to show that the following construction fails to prove that the class of context-free languages is closed under star. Let A be a CFL that is generated by the CFG G = (V,,R,S). Add the new rule S SS and call the resulting grammar G0. This grammar is supposed to generate A.

Section 2_Part 1 Decision Science 412 -Linear Programming: Allocation of limited resources among competing activities in the best possible way (optimal solution) Applied in a variety of situations Allocation of production facilities to products Allocation of national resources Shipping patterns Product /service selection and offering Scheduling LP uses mathematical models to describe the problem Solution is always a maximization or minimization All functions are required to be linear Formulate a Linear Programming Problem Define the problem Identify the known an