Question: 1. Consider the following languages over A = {a, b,c): (a) L =(al num(a,x)= num(b,x) + num(c,x)), (b) L=(al num(a,x)=max(num(b,z),num(ca))), where num(a, z) denotes the

1. Consider the following languages over A = {a, b,c): (a) L =(al num(a,x)= num(b,x) + num(c,x)), (b) L=(al num(a,x)=max(num(b,z),num(ca))), where num(a, z) denotes the number of occurrences of a in the string z. In each case, if the language is context-free, show a pushdown automaton which recognizes it; if the language is not context-free, show why it is so

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