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Write a grammar that generates an even number of X’s.

Programming

  1. Convert the following regular grammar into a Finite Automata

S X

X x X | x Y

Y y Y | y Z

Z zZ | z

  1. Convert the previous problem to a regular expression.
  2. Write a grammar that generates an even number of X’s.
  3. Convert problem 3 to a finite automata
  4. Convert problem 3 to a regular expression
  5. Give a nondeterministic finite automaton that accepts the language generated by the regular expression (a | ba | baaa)*
  1. Convert the previous into a DFA
  2. Convert the NFA below into a DFA. Where λ-transitions are the same as εtransitions.