A valid argument is given below.Fill in the missing valuesof the proof.1.Vx(P(x) →→ Q(x))3x (P(x)¬R(x))..3x(Q(x) ^¬R(x))(A) Pick(B) Pick2. (A)3. (B)4.¬R(b)Vx(P(x) → Q(x))b is a particular elementP(b) → Q(b)P(b)Q(b)10. Q(b) A-R(b)11.5.6.7.3x (P(x) ^¬R(x))8.9.x(Q(x)¬R(x))HypothesisExistential instantiation, 1Simplification, 2Simplification, 3Hypothesis(C)(D)Simplification, 3Modus ponens, 7, 8Conjunction, 4, 9Existential generalization, 6, 10(C) Pick(D) Pick

Here, a proof applying the predicate logic is given. The task is to fill the missing values to the…

A valid argument is given below. Fill in the missing values of the proof. Vx(P(x)→ Q(x)) 3x (P(x)^¬R(x)) ..Ex(Q(x) ^¬R(x)) (A) Pick (B) Pick < 1. Ex(P(x) ^-R(x)) 2. (A) 3. (B) ¬R(b) Vx(P(x) → Q(x)) b is a particular element P(b) → Q(b) P(b) Q(b) 10. Q(b) A-R(b) 11. 4. 5. 6. 7. 8. 9. Bx(Q(x)A-R(x)) Hypothesis Existential instantiation, 1 Simplification, 2 Simplification, 3 Hypothesis (C) (D) Simplification, 3 Modus ponens, 7, 8 Conjunction, 4, 9 Existential generalization, 6, 10 (C) Pick (D) Pick

A valid argument is given below. Fill in the missing values of the proof. Vx(P(x)→ Q(x)) 3x (P(x)^¬R(x)) ..Ex(Q(x) ^¬R(x)) (A) Pick (B) Pick < 1. Ex(P(x) ^-R(x)) 2. (A) 3. (B) ¬R(b) Vx(P(x) → Q(x)) b is a particular element P(b) → Q(b) P(b) Q(b) 10. Q(b) A-R(b) 11. 4. 5. 6. 7. 8. 9. Bx(Q(x)A-R(x)) Hypothesis Existential instantiation, 1 Simplification, 2 Simplification, 3 Hypothesis (C) (D) Simplification, 3 Modus ponens, 7, 8 Conjunction, 4, 9 Existential generalization, 6, 10 (C) Pick (D) Pick

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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Tell if the statements are true or false. Let p: 3 + 5 = 6; q: 5 + 5 = 10. (a) (p ∧ ~q) ∧ p True False (b) p ∨ (p → q) True False (c) (p ∧ q) → p True False
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