Homework Answers
(a) The proof for decidable languages is closed under Concatenation.
Let L1 and L2 be two Turing Decidable languages. Given an input w, use non determinism
and guess a partition w(say w = xy). Now run the respective Turing machines of L1 and L2
on x and y respectively. If both accepts then accept else reject.
(b) The proof for decidable languages is closed under Intersection.
Run the TMs of both the languages on the given input. accept if and only if both the machines
accept. In the case of intersection we can run the TMs of L1 and L2 one after the other.
(c) The proof for decidable languages is closed under Complementation.
Decidable languages are closed under complementation. To design a machine for the
complement of a language L, we can simulate the machine for L on an input. If it accepts
then reject and vice versa.
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4. (15 MARKS) For each of the following operations, give a high-level explanation of why the...
4. (15 MARKS) For each of the following operations, give a high-level explanation of why the...
4. (15 MARKS) For each of the following operations, give a high-level explanation of why the decidable languages are closed under the operation (a) Concatenation
Please also note that there might be multiple answers for each question. Q1: Which of the following claims are true?*...
Please also note that there might be multiple answers for each
question.
Q1: Which of the following claims are true?* 1 point The recognizable languages are closed under union and intersection The decidable languages are closed under union and intersection The class of undecidable languages contains the class of recognizable languages For every language A, at least one of A or A*c is recognizable Other: This is a required question Q2: Which of the following languages are recognizable? (Select all...
Q1: Which of the following claims are true?* 1 point The recognizable languages are closed under union and intersection...
Q1: Which of the following claims are true?* 1 point The recognizable languages are closed under union and intersection The decidable lanquages are closed under union and intersection The class of undecidable languages contains the class of recognizable anguages For every language A, at least one of A or A*c is recognizable Other: This is a required question Q2: Which of the following languages are recognizable? (Select all that apply) 1 point EDFA-{ «A> 1 A is a DFA and...
Explain the answer QUESTION 8 The classes of languages P and NP are closed under certain...
Explain the
answer
QUESTION 8 The classes of languages P and NP are closed under certain operations, and not closed under others, just like classes such as the regular languages or context-free languages have closure properties. Decide whether P and NP are closed under each of the following operations. 1. Union. 2. Intersection. 3. Intersection with a regular language. 4. Concatenation 5. Kleene closure (star). 6. Homomorphism. 7. Inverse homomorphism. Then, select from the list below the true statement. OP...
SUBJECT:THEORY OF COMPUTATION CAN SOMEONE PLEASE HELP ME I HAVE POSTED IT REPEATEDLY AND I KEEP G...
SUBJECT:THEORY OF COMPUTATION
CAN SOMEONE PLEASE HELP ME I HAVE POSTED IT REPEATEDLY
AND I KEEP GEETING INCOMPLETE / INCORRECT ANSWER . I WILL GIVE YOU
A HIGH REVIEW IF YOU HELP ME AND IT IS DONE PROPERLY !
Note: Please show/explain all cases clearly for the pumping lemma and describe how your Turing machine works for each state transition. Problem 1: Non-context-free languages and Tining Machine Models B5] context-free: 쉑: Use the pumping lemma for context-free languages to show...
please give some explanation to each step 15 Total Question 3 Let F: R3R3 be any...
please give some explanation to each step
15 Total Question 3 Let F: R3R3 be any C2 vector field. 3(a). Prove that the divergence of the curl of F is zero. /4 marks 3(b). For F as defined above, a misguided professor claims that for any closed curve C, F dr 0 because of the argument: (x F)ds F-dr div (eurl F) dV X 0-APO by using Stokes' theorem, the divergence theorem, and then part (a) for an appropriately chosen...
3" (25%) Give regular expressions for the following languages on {a, b). (a) L,-(a"b": n 4, m 3) ...
3" (25%) Give regular expressions for the following languages on {a, b). (a) L,-(a"b": n 4, m 3) (b) The complement of Li. (c) L- (w: w mod 3 03. Note: lw: the length of w (d) L3 w: |w mod 30 naww) appear)
3" (25%) Give regular expressions for the following languages on {a, b). (a) L,-(a"b": n 4, m 3) (b) The complement of Li. (c) L- (w: w mod 3 03. Note: lw: the length of w...
Question 1 (a) Which of the following molecules are aromatic? Give a brief explanation in each...
Question 1 (a) Which of the following molecules are aromatic? Give a brief explanation in each case. NH [4 marks] som er plan prochenistical (b) Explain mechanistically the position of substitution in the following reactions and predict the structure of the final product. Brz AICI: AICI: [6 marks] [Total for question 1 = 10 marks] n 1 = 18 marks
1. True/False/Uncertain (30 marks) Answer each of the following statements True/False/Uncertain. Give a full explanation of...
1. True/False/Uncertain (30 marks) Answer each of the following statements True/False/Uncertain. Give a full explanation of your answer including graphs where appropriate. (When in doubt, always include a fully labeled graph.) A) As a general rule of thumb, the S-D model is appropriate for examining markets with many buyers, but few firms. B) Under standard assumptions, the S-D model shows that equilibrium only occurs on the inelastic portion of the demand curve. C) The principle of non-satiation is a standard...
UueSLIORS! 1. Find the error in logic in the following statement: We know that a b'...
UueSLIORS! 1. Find the error in logic in the following statement: We know that a b' is a context-free, not regular language. The class of context-free languages are not closed under complement, so its complement is not context free. But we know that its complement is context-free. 2. We have proved that the regular languages are closed under string reversal. Prove here that the context-free languages are closed under string reversal. 3. Part 1: Find an NFA with 3 states...
4. (15 MARKS) For each of the following operations, give a high-level explanation of why the decidable languages are closed under the operation (a) Concatenation
Please also note that there might be multiple answers for each
question.
Q1: Which of the following claims are true?* 1 point The recognizable languages are closed under union and intersection The decidable languages are closed under union and intersection The class of undecidable languages contains the class of recognizable languages For every language A, at least one of A or A*c is recognizable Other: This is a required question Q2: Which of the following languages are recognizable? (Select all...
Q1: Which of the following claims are true?* 1 point The recognizable languages are closed under union and intersection The decidable lanquages are closed under union and intersection The class of undecidable languages contains the class of recognizable anguages For every language A, at least one of A or A*c is recognizable Other: This is a required question Q2: Which of the following languages are recognizable? (Select all that apply) 1 point EDFA-{ «A> 1 A is a DFA and...
Explain the
answer
QUESTION 8 The classes of languages P and NP are closed under certain operations, and not closed under others, just like classes such as the regular languages or context-free languages have closure properties. Decide whether P and NP are closed under each of the following operations. 1. Union. 2. Intersection. 3. Intersection with a regular language. 4. Concatenation 5. Kleene closure (star). 6. Homomorphism. 7. Inverse homomorphism. Then, select from the list below the true statement. OP...
SUBJECT:THEORY OF COMPUTATION
CAN SOMEONE PLEASE HELP ME I HAVE POSTED IT REPEATEDLY
AND I KEEP GEETING INCOMPLETE / INCORRECT ANSWER . I WILL GIVE YOU
A HIGH REVIEW IF YOU HELP ME AND IT IS DONE PROPERLY !
Note: Please show/explain all cases clearly for the pumping lemma and describe how your Turing machine works for each state transition. Problem 1: Non-context-free languages and Tining Machine Models B5] context-free: 쉑: Use the pumping lemma for context-free languages to show...
please give some explanation to each step
15 Total Question 3 Let F: R3R3 be any C2 vector field. 3(a). Prove that the divergence of the curl of F is zero. /4 marks 3(b). For F as defined above, a misguided professor claims that for any closed curve C, F dr 0 because of the argument: (x F)ds F-dr div (eurl F) dV X 0-APO by using Stokes' theorem, the divergence theorem, and then part (a) for an appropriately chosen...
3" (25%) Give regular expressions for the following languages on {a, b). (a) L,-(a"b": n 4, m 3) (b) The complement of Li. (c) L- (w: w mod 3 03. Note: lw: the length of w (d) L3 w: |w mod 30 naww) appear)
3" (25%) Give regular expressions for the following languages on {a, b). (a) L,-(a"b": n 4, m 3) (b) The complement of Li. (c) L- (w: w mod 3 03. Note: lw: the length of w...
Question 1 (a) Which of the following molecules are aromatic? Give a brief explanation in each case. NH [4 marks] som er plan prochenistical (b) Explain mechanistically the position of substitution in the following reactions and predict the structure of the final product. Brz AICI: AICI: [6 marks] [Total for question 1 = 10 marks] n 1 = 18 marks
UueSLIORS! 1. Find the error in logic in the following statement: We know that a b' is a context-free, not regular language. The class of context-free languages are not closed under complement, so its complement is not context free. But we know that its complement is context-free. 2. We have proved that the regular languages are closed under string reversal. Prove here that the context-free languages are closed under string reversal. 3. Part 1: Find an NFA with 3 states...
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