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problem 1: Given the following grammar S → 0A0 | 1B1 | BB; A → C; B → S | A; C → S | ε,

(a) (Derivation) Given a left-most and right-most derivation of a string 01001110

(b) (Parse tree) Draw the parse tree from step (a).

problem 2: (Language to PDA) Design a PDA whose language is {ambncpdq | m + n = p + q}.

problem 3:

(a) (Language to CFG, closure property) Construct CFG for the following language L = {bi a2i | i >= 0}

(b) (CFG to PDA) Design a PDA for the above grammar using a transition diagram and specifying the start/accept state(s), start symbol on the stack.

(c) (PDA computation) Show the stack content, state of the PDA in each step given an input string baa

problem 4: (Pumping lemma) Use pumping lemma to show that the following language is not context free {0i1j | i is not a multiple of j}

problem 5: Show that the language L = {aibj |i  ≠ j) is context free.

Computer Engineering, Engineering

  • Category:- Computer Engineering
  • Reference No.:- M91285

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