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1. Given the following grammar S à 0A0 | 1B1 | BB; A à C; B à S | A; C à 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)
2. (Language to PDA) Design a PDA whose language is {ambncpdq | m + n = p + q}.
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
4. (Pumping lemma) Use pumping lemma to show that the following language is not context free {0i1j | i is not a multiple of j}
5. Show that the language L = {aibj |i ≠ j) is context free.
(a) List several advantages and disadvantages of using transparent polymeric materials for eyeglass lenses. (b) Cite four properties (in addition to being transparent) that are
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Volume fraction of fibres: The epoxy material is prepared to be stressed to its full strength. What must be volume fraction of fibres? Solution Here σ′ = 1200 MPa,
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Q. Horizontal Vessels and Vertical Vessels? Horizontal Vessels A horizontal vessel, designed to support a full weight load of water, shall be tested while resting on its sup
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