a) Show that p p is logically eguivalent to -p: Show that (p9) 4 Čp t9) ís logically equivalent to pvq.
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A: The answer for the given question is as follows.
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A: The equivalence is also called equivalence of propositions.
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A: Answer :
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Q: 8. Show that ¬p → (p → q) is a tautology using rules.
A: p q ~p p -> q ~p -> (p ->q) T T F T T T F F F T F T T T T F F T T T
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A: Answer is given in step 2
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A: ANSWER:-
Q: 2. Use Armstrong's axioms to prove the union rule: If a → B and a → y, then a → By.
A: Armstrong's Axioms are a set of rules of axioms.
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A: The given sets are: A = {7, 5} B = {1 , 2 , 5, 4} C = {1, 7} B x A = {1 , 2 , 5, 4} x {7, 5}…
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A:
Q: Let AX=6E3C H, CL=0BH. Show the content of AX and CF after performing: ROR AL,CL.
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Q: A = {[(¬P → Q) AR] V ¬Q} → (QAR)
A: Answer: Answer is given in step 2
Q: Question 2: Prove An (BU C) = (An B) U (An C).
A: Step by step explanation is in given below.
Q: 2 Prove NP = PSPACE if TQBF ∈ NP . Prove P = PSPACE if TQBF ∈ P.
A:
Q: Complete an instantaneous description trace to show how M accepts w = ababb
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Q: 4. given y → u p → w prove [(p v q) ar] → (x V ¬y) using natural deduction
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A: Explanation has been giving in the image. See below the step.
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Q: 7. Determine whether the following proposition is a tautology. ((-p v q) →(pAq ri)) + (pa q)
A: Answer - YES, the proposition is a tautology and I have shown truth table below ,
Q: hey I was wondering if someone could help me with e throght f in the document below thank you
A:
Q: Determine whether the following proposition is a tautology. ((-p v ¬q) →(p aq r)) → (pa q)
A: Here in this question we have given a preposition and we have asked that is this tautology
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Q: 2. Let C Ç RE be such that Ø E C. Prove that Lc = {{M): M is a TM and L(M) e C} ¢ RE.
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Q: show that x^2ln(x) belongs to a class of small o of e^x using hopital rule.
A: show that x^2ln(x) belongs to a class of small o of e^x using hospital rule. Solution
pleas I want solution use connectives rule
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- For f (a, b) = (a | b) | b(a) Simplify f (a, b).(b) Find DNF for f (a, b).(c) Is f (a, b) satisfiable?Simplify the following Boolean functions by first finding the essential prime implicants (Please indicate the essential prime implicants and prime implicants): (a) F(w, x, y, z) = S(0, 1, 2, 4, 5, 6, 8, 10, 13, 15) (b) F(w, x, y, z) = wy’ + xy + y’z + w’xzQ1/Simplify the following Boolean functions in products of sums using K-map: a) F(w, x, y, z) = Sigma(0, 2, 5, 6, 7, 8, 10) b) F (A, B, C, D) = Pi(1, 3, 5, 7, 13, 15)
- Using the pumping lemma, show {a^n b^m a^m b^n} is nonregular language. Show it by listing all possible cases of substring y and considering each of them using the pumping lemma. How many possible cases of substring y exist?Let P be the wff A → B. Prove or disprove whether P is equivalent to any of the following related wffs.a. the converse of P, B → Ab. the inverse of P, A′ → B′c. the contrapositive of P, B′ → A′Show that !(A&&!B) is equivalent to !A || B in C++