Assignment:

As we discussed in class, write a Context-Free grammar in either one of the following way:

1. Use recursion method to define grammar inductively,

2. Use semantic meanning for non-terminals method

for the following language:

strings have equal numbers of x and y. For example your language will accept following strings xy, xyxy, xyxyxy, xxxyyy, xxyxyy, but will reject xyx, xxxyy, xxy, yyxxx, ... .

Also show that grammar you created is ambiguos or not by using parse tree approach.