2. Consider the problem One-of-each 3SAT. This is the set of formulas which are sat- isfiable, in 3CNF and where at least one clause has exactly 1 true literal, at least one clause has exactly 2 true literals, at least one clause has exactly 3 true literals. Show that the One-of-each 3SAT problen is NP-complete.

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A: The above question is solved in step 2 :-

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Q: 2. Show that the predicate 'x 2 0' is a decidable predicate on Z.

A: The answer is given below:-

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Q: 49. Establish these logical equivalences, where x does not oc- cur as a free variable in A. Assume…

A: solution

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A:

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A: Hey there, I am writing the required solution of the questin mentioned above. Please do find the…

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A: Answer :-

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A: The question is solved in step2

Q: (a) Show that if A and B are both in NP then so is An B.

A: The solution for the above given question is given below:

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A: domains = {    'V1': [1, 2, 3,4],    'V2': [1, 2, 3,4],    'V3': [1, 2, 3,4],    'V4': [1, 2, 3,4],…

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A: NP-hard is at least as hard as any NP-problem.

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