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Ullman (TOC) Edition 3 Exercise 6.3 Question 1 (Page No. 251)
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Convert the grammar
$S\rightarrow 0S1|A$
$A\rightarrow 1A0|S|\in$
to a PDA that accepts the same language by empty stack.
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Ullman (TOC) Edition 3 Exercise 6.3 Question 2 (Page No. 251)
Convert the grammar $S\rightarrow aAA$ $A\rightarrow aS|bS|a$ to a PDA that accepts the same language by empty stack.
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Ullman (TOC) Edition 3 Exercise 6.3 Question 3 (Page No. 251)
Convert the $PDA$ $P=(\{p,q\},\{0,1\},\{X,Z_{0}\},\delta.q.Z_{0})$ to a $CFG,$ if $\delta$ is given by $:$ $\delta(q,1,Z_{0})=\{(q,XZ_{0})\}$ $\delta(q,1,X)=\{(q,XX)\}$ $\delta(q,0,X)=\{(p,X)\}$ $\delta(q,\in,X)=\{(q,\in)\}$ $\delta(p,1,X)=\{(p,\in)\}$ $\delta(p,0,Z_{0})=\{(q,Z_{0})\}$
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Ullman (TOC) Edition 3 Exercise 6.4 Question 1 (Page No. 256)
For each of the following PDA's, tell whether or not it is deterministic. Either show that it meets the definition of a DPDA or find a rule or rules that violate it. $a)$ $b)$ Suppose the $PDA, $ ... $\delta(p,1,X)=\{(p,\in)\}$ $\delta(p,0,Z_{0})=\{(q,Z_{0})\}$
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Ullman (TOC) Edition 3 Exercise 6.2 Question 1 (Page No. 241)
Design a PDA to accept each of the following languages. You may accept either by final state or by empty stack, whichever is more convenient. $\{0^{n}1^{n}|n\geq 1\}$ The set of all strings of $0's$ and $1's$ such that ... $0's$ and $1's$ with an equal number of $0's$ and $1's.$
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