PDA for L = {0^n 0^m | n and m > 0} and do computation or...
PDA for L = {0^n 0^m | n and m > 0} and do computation or input string 00001111
Homework Answers
Answer : We have to design PDA for the language L = {0^n 1^m | n and m > 0}.
Note : In the given problem L = {0^n 0^m | n and m > 0} and input string is 00001111. Therefore We take L as
L = {0^n 1^m | n and m > 0}.
Here L contains all the strings of {0,1} , starting with zero or more 0's followed by zero or more 1's.
PDA corresponding to L would be
?( q0, 0, Z0 ) ⊢ ( q1, Z0 )
?( q1, 0, Z0 ) ⊢ ( q1, Z0 )
?( q1, 1, Z0 ) ⊢ ( q2, Z0 )
?( q2, 1, Z0 ) ⊢ ( q2, Z0 )
?( q2, ∈, Z0 ) ⊢ ( q3, ∈ )
Computation of the input string 00001111 :
?( q0, 00001111, Z0 ) ⊢ ?( q1, 0001111, Z0 )
⊢ ?( q1, 001111, Z0 )
⊢ ?( q1, 01111, Z0 )
⊢ ?( q1, 1111, Z0 )
⊢ ?( q2, 111, Z0 )
⊢ ?( q2, 11, Z0 )
⊢ ?( q2, 1, Z0 )
⊢ ?( q2, ∈, Z0 )
= ( q3, ∈ ) Accepted
Construct a PDA (pushdown automata) for the following language L={0^n 1^m 2^m 3^n | n>=1, m>=1}
Construct a PDA (pushdown automata) for the following language L={0^n 1^m 2^m 3^n | n>=1, m>=1}
(a) Show that L = { a^n b^2m a^n : n, m >= 0 } is...
(a) Show that L = { a^n b^2m a^n : n, m >= 0 } is a CFL by
drawing a nondeterministic PDA M that accepts L. Show a formal
computation (i.e., sequence of instantaneous descriptions) of your
machine M for each of the following five strings w: aa, ab^2a, a^2
b^4 a^2, abbab.
(b) For each of the above five strings w, state whether or not w
L(M) and explain why
1) Given language L = {a"62"n >0} a) Give an informal english description of a PDA...
1) Given language L = {a"62"n >0} a) Give an informal english description of a PDA for L b) Give a PDA for L
Let INFINITE PDA ={<M>|M is a PDA and L(M) is an infinite language} Show that INFINITE PDA is decidable
Let INFINITE PDA ={<M>|M is a PDA and L(M) is an infinite language} Show that INFINITE PDA is decidable.
Let INFINITE PDA = {<M>|M is a PDA and L(M) is an infinite language}. Show that...
Let INFINITE PDA = {<M>|M is a PDA and L(M) is an infinite language}. Show that INFINITE PDA is decidable.
Consider e PDA drawn below: Write out the formal description of the DA Exibit a computation...
Consider e PDA drawn below: Write out the formal description of the DA Exibit a computation path that accepts the input DDIOl" by atin uhot the State te and conterts of the Stack are at the besninga n and after each tran sit oper otes .Tnformally explain-lowths-FDA using Enelis leat lanayoape is recomyuized by tde PDa?
Theory of Computation - Push Down Automata (PDA) and Context Free Grammars (CFG) Problem 1. From...
Theory of Computation - Push Down Automata (PDA) and Context
Free Grammars (CFG)
Problem 1. From a language description to a PDA Show state diagrams of PDAs for the following languages: a. The set of strings over the alphabet fa, b) with twice as many a's as b's. Hint: in class, we showed a PDA when the number of as is the same as the number of bs, based on the idea of a counter. + Can we use a...
(a) (1) Draw a PDA for the language {01'01moin+m | n, m1} (2) Does your PDA...
(a) (1) Draw a PDA for the language {01'01moin+m | n, m1} (2) Does your PDA use non-determinism? (3) Include a brief description of how it operates. (b) Answer the same three questions for the language of palindromes over the alphabet ={0,1}
Create a PDA that recognizes the language described. 1. {0n1m | n≠m} 2. {0n1m | m=2n}...
Create a PDA that recognizes the language described. 1. {0n1m | n≠m} 2. {0n1m | m=2n} 3. {0^n1m | n≤m≤3n} 4. {w | w∈{0,1}∗,num of 0's in w=2(num of 1's in w)}
2. [10 marks] Give a PDA (Pushdown Automata) that recognizes the language L = {o€ {n,y,...
2. [10 marks] Give a PDA (Pushdown Automata) that recognizes the language L = {o€ {n,y, z}* | 2|이|z = |0ly V 2\이 You can choose whether your PDA accepts by empty stack or final state, but make sure you clearly note, which acceptance is assumed
2. [10 marks] Give a PDA (Pushdown Automata) that recognizes the language L = {o€ {n,y, z}* | 2|이|z = |0ly V 2\이 You can choose whether your PDA accepts by empty stack or...
(a) Show that L = { a^n b^2m a^n : n, m >= 0 } is a CFL by
drawing a nondeterministic PDA M that accepts L. Show a formal
computation (i.e., sequence of instantaneous descriptions) of your
machine M for each of the following five strings w: aa, ab^2a, a^2
b^4 a^2, abbab.
(b) For each of the above five strings w, state whether or not w
L(M) and explain why
1) Given language L = {a"62"n >0} a) Give an informal english description of a PDA for L b) Give a PDA for L
Consider e PDA drawn below: Write out the formal description of the DA Exibit a computation path that accepts the input DDIOl" by atin uhot the State te and conterts of the Stack are at the besninga n and after each tran sit oper otes .Tnformally explain-lowths-FDA using Enelis leat lanayoape is recomyuized by tde PDa?
Theory of Computation - Push Down Automata (PDA) and Context
Free Grammars (CFG)
Problem 1. From a language description to a PDA Show state diagrams of PDAs for the following languages: a. The set of strings over the alphabet fa, b) with twice as many a's as b's. Hint: in class, we showed a PDA when the number of as is the same as the number of bs, based on the idea of a counter. + Can we use a...
(a) (1) Draw a PDA for the language {01'01moin+m | n, m1} (2) Does your PDA use non-determinism? (3) Include a brief description of how it operates. (b) Answer the same three questions for the language of palindromes over the alphabet ={0,1}
2. [10 marks] Give a PDA (Pushdown Automata) that recognizes the language L = {o€ {n,y, z}* | 2|이|z = |0ly V 2\이 You can choose whether your PDA accepts by empty stack or final state, but make sure you clearly note, which acceptance is assumed
2. [10 marks] Give a PDA (Pushdown Automata) that recognizes the language L = {o€ {n,y, z}* | 2|이|z = |0ly V 2\이 You can choose whether your PDA accepts by empty stack or...
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