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Refer this closure properties table
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3. (20 pt.) Prove that the following language is not regular using the closure properties of...
Prove the following language is not regular (you may use pumping lemma and the closure of...
Prove the following language is not regular (you may use pumping lemma and the closure of the class of regular languages under union, intersection, and complement.): (w | w ∈ {0,1}* is not a palindrome} Please show work/explain. Thanks.
(20 pt.) Prove that the class of regular languages is closed under reverse. That is, show...
(20 pt.) Prove that the class of regular languages is closed under reverse. That is, show that if A is a regular language, then AR = {wR WE A} is also regular. Hint: given a DFA M = (Q,2,8,90, F) that recognizes A, construct a new NFA N = (Q', 2,8', qo',F') that recognizes AR and justify why your construction is correct.
5. (20 pt.) Prove that the class of regular languages is closed under reverse. That is,...
5. (20 pt.) Prove that the class of regular languages is closed under reverse. That is, show that if A is a regular language, then AR = {wR W E A} is also regular. Hint: given a DFA M = (Q,2,8,90, F) that recognizes A, construct a new NFA N = (Q', 2,8', qo',F') that recognizes AR and justify why your construction is correct.
Problem 3 [20 points Prove that the class of regular languages is closed under reverse. That...
Problem 3 [20 points Prove that the class of regular languages is closed under reverse. That is, show that if A is a regular language, then AR -[wR | w e A is also regular. [Hint: given a DFA M = (Q,Σ, δ, q0,F) that recognizes A, construct a new NFA (Q', Σ,8,6, F') that recognizes AR.]
2. Prove that {a"6"c" |m,n0}is not a regular language. Answer: 3. Let L = { M...
2. Prove that {a"6"c" |m,n0}is not a regular language. Answer: 3. Let L = { M M is a Turing machine and L(M) is empty), where L(M) is the language accepted by M. Prove L is undecidable by finding a reduction from Aty to it, where Arm {<M.w>M is a Turing machine and M accepts Answer: 4. a) Define the concept of NP-completeness b) If A is NP-complete, and A has a polynomial time algorithm, then a polynomial time algorithm...
Prove that the following languages are not regular. You may use the pumping lemma and the...
Prove that the following languages are not regular. You may use
the pumping lemma and the closure of the class of regular languages
under union, intersection, and compliment.
a){}
b){}
c) {
is not a palindrome}
*d)}
0"1"0" m,n>0
2. If L is a regular language, prove that the language 11 = { uv/ u...
2. If L is a regular language, prove that the language 11 = { uv/ u E 1 , |v|-2) is also regular. (Hint: Can you build an NFA of L1 using an NFA of a language L? Use N, the NFA of the language L)
1. (Non-regular languages) Prove that the following languages are not regular. You may use the pumping...
1. (Non-regular languages) Prove that the following languages are not regular. You may use the pumping lemma and the closure of the class of regular languages under union, intersection, complement, and reverse (b) L2 = { w | w ∈ {0, 1}* is not a palindrome }. A palindrome is a string that reads the same forward and backward
determine if the language is regular, context-free, Turing-decidable, or undecidable. For languages that are regular, give...
determine if the language is regular, context-free, Turing-decidable, or undecidable. For languages that are regular, give a DFA that accepts the language, a regular expression that generates the language, and a maximal list of strings that are pairwise distinguishable with respect to the language. For languages that are context-free but not regular, prove that the language is not regular and either give a context- free grammar that generates the language or a pushdown automaton that accepts the language. You need...
(Automata): prove using the pumping lemma that the following language is not context-free: where: ; b)using...
(Automata): prove using the pumping lemma that the following language is not context-free: where: ; b)using closure properties and the previous proof, show that the following language is not context free language: Really need your help with this, it is important for the test. please explain what you to do so i can study it throughly. thank you very much! Labc be...bc2m de fefefnghqhq.h 1, т > п> о >0; > т,п, о 0; /12, ...j2n0; k1, k2,.. k, >...
(20 pt.) Prove that the class of regular languages is closed under reverse. That is, show that if A is a regular language, then AR = {wR WE A} is also regular. Hint: given a DFA M = (Q,2,8,90, F) that recognizes A, construct a new NFA N = (Q', 2,8', qo',F') that recognizes AR and justify why your construction is correct.
5. (20 pt.) Prove that the class of regular languages is closed under reverse. That is, show that if A is a regular language, then AR = {wR W E A} is also regular. Hint: given a DFA M = (Q,2,8,90, F) that recognizes A, construct a new NFA N = (Q', 2,8', qo',F') that recognizes AR and justify why your construction is correct.
Problem 3 [20 points Prove that the class of regular languages is closed under reverse. That is, show that if A is a regular language, then AR -[wR | w e A is also regular. [Hint: given a DFA M = (Q,Σ, δ, q0,F) that recognizes A, construct a new NFA (Q', Σ,8,6, F') that recognizes AR.]
2. Prove that {a"6"c" |m,n0}is not a regular language. Answer: 3. Let L = { M M is a Turing machine and L(M) is empty), where L(M) is the language accepted by M. Prove L is undecidable by finding a reduction from Aty to it, where Arm {<M.w>M is a Turing machine and M accepts Answer: 4. a) Define the concept of NP-completeness b) If A is NP-complete, and A has a polynomial time algorithm, then a polynomial time algorithm...
Prove that the following languages are not regular. You may use
the pumping lemma and the closure of the class of regular languages
under union, intersection, and compliment.
a){}
b){}
c) {
is not a palindrome}
*d)}
0"1"0" m,n>0
2. If L is a regular language, prove that the language 11 = { uv/ u E 1 , |v|-2) is also regular. (Hint: Can you build an NFA of L1 using an NFA of a language L? Use N, the NFA of the language L)
determine if the language is regular, context-free, Turing-decidable, or undecidable. For languages that are regular, give a DFA that accepts the language, a regular expression that generates the language, and a maximal list of strings that are pairwise distinguishable with respect to the language. For languages that are context-free but not regular, prove that the language is not regular and either give a context- free grammar that generates the language or a pushdown automaton that accepts the language. You need...
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