Question
1. How would you show conclusively that a certain graphics library, G2, has all the functionality of graphics library G1? 2. Describe two transition-system models
1. How would you show conclusively that a certain graphics library, G2, has all the functionality of graphics library G1?
2. Describe two transition-system models of computation and one model that computes functions S* S* or N N.
3. Classify the following sets as finite, decidable, regular, context-free, or undecidable, and name the corresponding automata. Justify your answers.
(a) {0m1n | m n}
(b) 11*(0|11)*
(c) binary representations of prime numbers
(d) { (P, x) | P is the code for an S -language program that goes into an infinite loop on input x }
(e) sets of balanced parentheses
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