Let Σ = {0, 1}. Define the language L0000 = { ⟨M1,M2⟩ | M1 and M2 are deterministic Turing machines, and L(M1)∩L(M2) contains only the string ‘0000’ }. Show that L0000 is an undecidable language.

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A: This DFA can be made using for States. Below is the answer

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A: Given:

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A:

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A: The answer of this question is as follows:

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Q: Let Σ = {0, 1}, and let L10101 ⊆ Σ∗ be a language of exactly all the strings that contain the…

A: Approach to solving the question: To show that the language (L10101​) is undecidable, we can use a…

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A: | x | = | y | = | z | xyz € L  L is regular then L' is regular.

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A: Attached Handwritten Image:

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Q: Refer to image and answer correctly for upvote! (Automata and Computation)

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A: The complete answer is given below.

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A: Attached the Handwritten image for the Solution: Image_01:

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A: answer starts from step 2

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A: In this problem, we are given a language L5-8, which is defined as the set of all deterministic…

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A: The question is asking us to prove that the language J_10101, which is defined as the set of all…

Q: Draw Turing machine that recognize ={0,1}, and {w|wEΣ* and |w| is even}

A: Complete answer is below:

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A:

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Q: Construct a deterministic finite-state automaton for the language L = {w € {0, 1}*| contains 010 or…

A: Given language is, L= {w ∈ {0, 1}* | w contains 010 or end with 101} Set of input alphabets= {0, 1}

Computational Systems

The computation systems can be defined as the systems that are capable of solving a problem that includes calculations either mathematical or logical, and are able to produce the result as an output. For example, a simple calculator that is given a set of numbers and operators as input and produces the result as an output can be defined as a computational system. The above example is a simple illustration only, the computational systems range from simple devices to complex devices such as the systems that control the SpaceX companies, Starlink satellites which are being quite recently seen in the skies at many places globally.