Theoretical computer scienceHello i need help with this task,3.PartSubtask (b)Let L1, L2 and L3 be any languages above the alphabet Σ= {a,b}of which the following is known:The language L1 has the Nerode index 4.The language L2 has the Nerode index 6.The language L3 has an infinite Nerode index.Which of the following statements are -regardless of how L1, L2 and L3 are specifically chosen -always correct, which ones are not? Justify your !!!!!!!!!!Answers briefly.(i) The language L = Σ* \ L1 has the Nerode index 4.(ii) The language L = Σ* \ L3 has an infinite Nerode index.(iii) The language L = L1 ∩ L2 has a Nerode index less than or equal to 24.(iv) The language L = L1 ∩ L3 has an infinite Nerode index.

A binary relation R on a set S is a subset of S × S. An equivalence relation on a set satisfies…

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Computer Networking: A Top-Down Approach (7th Edition)

7th Edition

ISBN:9780133594140

Author:James Kurose, Keith Ross

Publisher:James Kurose, Keith Ross

Chapter1: Computer Networks And The Internet

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Problem R1RQ: What is the difference between a host and an end system? List several different types of end...

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Theoretical computer science

Hello i need help with this task,

3.Part

Subtask (b)
Let L₁, L₂ and L₃ be any languages above the alphabet Σ= {a,b}
of which the following is known:

The language L₁ has the Nerode index 4.
The language L₂ has the Nerode index 6.
The language L₃ has an infinite Nerode index.

Which of the following statements are -regardless of how L₁, L₂ and L₃are specifically chosen -always correct, which ones are not? Justify your !!!!!!!!!!Answers briefly.

(i) The language L = Σ* \ L₁ has the Nerode index 4.
(ii) The language L = Σ* \ L₃ has an infinite Nerode index.
(iii) The language L = L₁ ∩ L₂ has a Nerode index less than or equal to 24.
(iv) The language L = L₁ ∩ L₃ has an infinite Nerode index.

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