Ullman (TOC) Edition 3 Exercise 6.3 Question 2 (Page No. 251)

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Ullman (TOC) Edition 3 Exercise 6.3 Question 1 (Page No. 251)
Convert the grammar $S\rightarrow 0S1|A$ $A\rightarrow 1A0|S|\in$ to a PDA that accepts the same language by empty stack.

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 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 $:$ $\delta(q,1,Z_{0})=\{(q,XZ_{0})\}$ $\delta(q,1,X)=\{(q,XX)\}$ $\delta(q,0,X)=\{(p,X)\}$ $\delta(q,\in,X)=\{(q,\in)\}$ $\delta(p,1,X)=\{(p,\in)\}$ $\delta(p,0,Z_{0})=\{(q,Z_{0})\}$

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)\}$$\d...

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Ullman (TOC) Edition 3 Exercise 6.4 Question 2 (Page No. 256 - 257)
Give deterministic pushdown automata to accept the following languages$:$ $\{0^{n}1^{m}|n\leq m\}$ $\{0^{n}1^{m}|n\geq m\}$ $\text{\{$0^{n}1^{m}0^{n}$|n and m are arbitrary\}}$

Give deterministic pushdown automata to accept the following languages$:$$\{0^{n}1^{m}|n\leq m\}$$\{0^{n}1^{m}|n\geq m\}$$\text{\{$0^{n}1^{m}0^{n}$|n and m are arbitrary\...

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Ullman (TOC) Edition 3 Exercise 6.2 Question 8 (Page No. 242)
A $PDA$ is called restricted if on any transition it can increase the height of the stack by at most one symbol.That is for any rule $\delta(q,a,Z)$ contains $(p,\gamma),$ it must be that $|\gamma|\leq 2.$ Show that if $P$ is a $PDA,$then there is a restricted $PDA$ $P_{3},$such that $L(P)=L(P_{3}).$

A $PDA$ is called restricted if on any transition it can increase the height of the stack by at most one symbol.That is for any rule $\delta(q,a,Z)$ contains $(p,\gamma),...

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Ullman (TOC) Edition 3 Exercise 6.3 Question 2 (Page No. 251)

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