1. Write a truth table to show that P Q and (P^ Q) v (¬P ^ ¬Q) have the same truth values. 2. Write a truth table to show that P → Q and (-P v Q) ^ (¬Q v P) have the same truth values.

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Q: Is this a (p V q) → p tautology?

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Q: 1. Consider the following KB containing 4 sentences in PL: P = (R v S), –P = (R v S), ¬S, (R v U)= Q…

A: Answer  :

Q: Show that ((p→q) ∨ (¨(p ∧ ¨q) ∧ T)) ≡ ¨p ∨ q using the logical equivalences.

A: Please refer to the following step for the complete solution of the problem above.

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Q: 5. Consider the same instance of 3-SAT problem: (x1 V X2 V ¬X3) ^ (x1 v ¬X2 V ¬X3) ^ (¬Xı v ¬X2 V 3)…

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Q: Construct a truth table to show if (¬p V q) → (¬p ^ q) is a tautology or a contradiction or neither.…

A:

Q: Are "p ∨ q ∧ r" and "(p ∨ q)∧(p ∨ r)" logically equivalent? Show your truth table

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Q: Q. Consider the following instance of 3-SAT problem: (x1 v X2 V -X3) ^ (xı V ¬X2 V ¬X3) ^ (¬X1 V…

A: solution of the given question is:

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Q: Find the truth set for each propositional function p(x) defined on the set N of postive integers.…

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Q: Consider the following P = {P1, P2, P3, P4, P5) R = (R1, R2, R3, R4} E = {P3 R1, P2R2, R4→P4, R2→P1,…

A: (a)

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Q: Show that A → B and ¬B –→ ¬A are logically equivalent by constructing the appropriate truth table…

A: As given, I need to show that A→B and ¬B→¬A are logically equivalent by constructing a truth table…

Q: Use truth tables to show that the following sentences are valid and thus that the equivalences hold.…

A: Truth tables for the given 3 equations are provided in step 2.

Q: 1. Consider the following P = {P1, P2, P3, P4, P5} R=(R1, R2, R3, R4} E = {P3 R1, P2R2, R4→P4, R2P1,…

A:

Q: For this question, refer to the laws of propositional equivalence on BB. If we apply the law of…

A:

Q: Construct truth table and identify if it’s tautology, contradiction, or contingency. (a) [(p V q) ∧…

A: tautology: compound proposition which is always True. contradiction: compound proposition which is…

Q: The set of letters S consists of 30 As, 6 Bs, 24 Cs, 15 Ds, and 15 Es. The set of letters T consists…

A: Solution: The size of the first set, n = (30+6+24+15+15) = 90 and, the size of the second set, m =…

Normalization

Normalization is the process of eliminating redundancy in a database by organizing the data into several smaller tables. The large tables are normalized (converted) into smaller tables by using normalization rules, so that a database administrator can easily handle them. It also eliminates insertion, deletion, and update anomalies.