Computability and Complexity Theory

The theory of computing provides computer science with concepts, models, and formalisms for reasoning about both the resources needed to carry out computa­ tions and the efficiency of the computations that use these resources. lt provides tools to measure the difficulty of combinatorial problems both absolutely and in comparison with other problems. Courses in this subject help students gain an­ alytic skills and enable them to recognize the limits of computation. For these reasons, a course in