Q. Consider the following instance of 3-SAT problem: (x1 v X2 V ¬X3) ^ (x1 v ¬X2 V ¬x3) ^ (¬X1 V ¬X2 v X3) ^ (¬x1 V ¬X2 V ¬X3) and reduction from 3-SAT to SUBSET-SUM. What is the instance of SUBSET-SUM problem that corresponds to the above instance of 3- SAT? If the above instance of 3-SAT is YES instance, show a certificate, verifying this, and also corresponding certificate of the SUBSET-SUM problem.

Q: - f(n) = log n²; g(n) = log n + 5 - f(n) = n; g(n) = log n? - f(n) = log log n; g(n) = log n f(n) =…

A: analysis for the above example is in step 2.

Q: Write Algorithm for Constructing initial ranking in rank adjustment tournaments.…

A: Answer  Here is an algorithm for constructing the initial ranking in rank adjustment tournaments:…

Q: *p → q)^(¬q v q) is Contradiction) true false

A: True

Q: 4. Let r = (¬Vv, Pv, Pvz, Pvz...). Is r consistent? Is F satisfi- able?

A: Answer: I have given answer in the handwritten format.

Q: ¬[[p → ¬q) v s] = [p Aq A -s] -[[p → ¬q) → s] = [¬(p^q) A¬s] [(pA¬q) → s] = [¬s → (-p v q)] [¬s →…

A:

Q: Prove or disprove: (a)∃ sets A,B ∀ functions f: A→B, f is a bijection. (b) if f : A → B is a…

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Q: Which of the following is logically equivalent to (p ∧ q ∧ r) ∨ (p ∧ q ∧ ￢r) ∨ (p ∧ ￢q ∧ r) ∨ (p ∧…

A: Equation is (p ∧ q ∧ r) ∨ (p ∧ q ∧ ￢r) ∨ (p ∧ ￢q ∧ r) ∨ (p ∧ ￢q ∧ ￢r) ∨ (￢p ∧ ￢q ∧ r). We brake the…

Q: QUESTION FIVE (5) For ∑ = {a, b}, construct DFA’s that accept the sets consisting of : i. All…

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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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Q: Would you be able to help me address this problem and its related elements? Please offer a detailed,…

A: The objective of the question is to prove that the language ALL_DFA, which consists of all…

Q: What type is inferred for a, ß, and for the variable xs? let xyz (a : a) : B %3D let rec abc a match…

A: Answer: I have given answered in the  brief explanation

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A: BELOW STEP BY STEP COMPLETE SOLUTION REGARDING YOUR PROBLEM WITH EXPLANATIONS :

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A: Refer below the example for above asked question:

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A:

Q: Match the following sentence to the best suitable answer:          -           A.           B.…

A: Solution :  So , for the linear congruence ax=1(mod m), x is the inverse of a, if__________ will…

Q: Would you be able to help me address this problem and its related elements? Please offer a detailed,…

A: The objective of the question is to prove that the language ALL_DFA, which consists of all…

Q: Problem 8 (#2.2.8).Prove the idempotent laws by showing a) A∪A=A. b) A∩A=A.

A:

Q: Use TABLE 7 Logical Equivalences Involving Conditional Statements. For every of 9 statements prove…

A: Here is to ask to prove the correctness of each logical equivalence one by one.

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Q: Which  is the logically equivalent to (p ∧ q ∧ r) ∨ (p ∧ ￢q ∧ r) ∨ (￢p ∧ q ∧ r) ∨ (￢p ∧ q ∧ ￢r) ∨…

A: Here the given expression is: (p ∧ q ∧ r) ∨ (p ∧ ￢q ∧ r) ∨ (￢p ∧ q ∧ r) ∨ (￢p ∧ q ∧ ￢r) ∨ (￢p ∧ ￢q ∧…

Q: i need help soving this?  let U = {a, b, c, d, e, f, g, h, k}, A = {a, b, c, g}, B = {d, e, f, g},…

A: Answer the above question are as follows

Q: i need help with this one

A:

Q: Complete the truth table and determine whether or not the following statement is a tautology, a…

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A: Correct Answer is Option ("D") i.e... It is invalid Explanation: It is a validity of a statement it…

Q: Find g of (a) f:Z→ N, (b) f:R → (0,1), f(x)=1/(x² +1); f(n) = n² + 1; g:N → Q, g(n) = g: (0, 1) →…

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Q: 1. Using the pumping lemma and contradiction, prove that L = (ab² n>=0}: is not regular.

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Q: (a) Show that 3x(Px x Px). (b) Show that {Qx,V y(Qy → Pz)} EX Px.

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

Q: 1.) If f(x) = 2.x^2 - x + 5. What is f(-3)? 2.) If A = {a, b, d, e}, B = {b, c, e, f} and C = {d,…

A:

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A: Step-1: StartStep-2: Declare variable a,b,i,j and x,y,z and assign value 0Step-3: Print "Enter the…

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A: The basic and feasible solution would be provided by the users to solve the Linear programming…

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