Consider the wffs: φ1φ1 = p1→→(p2→→(p3→→p4)) φ2φ2 = (p1 ^ p2 ^p3)→→p4 φ1 ≡ p1 ∨ ¬p2 ∨ p3 ∨ p4 φ2 ≡ ¬p2 → p3 φ3 ≡ p1 → p3 φ4 ≡ p3 → (p2 ∨ p4) φ5 ≡ p3 → p4 φ6 ≡ p3 ∨ ¬p4 φ7 ≡ p4 Show using resolution that (φ1 ∧ φ2 ∧ φ3 ∧ φ4 ∧ φ5 ∧ φ6) → φ7 is valid.

Consider the wffs: φ1φ1 = p1→→(p2→→(p3→→p4)) φ2φ2 = (p1 ^ p2 ^p3)→→p4 φ1 ≡ p1 ∨ ¬p2 ∨ p3 ∨ p4 φ2 ≡ ¬p2 → p3 φ3 ≡ p1 → p3 φ4 ≡ p3 → (p2 ∨ p4) φ5 ≡ p3 → p4 φ6 ≡ p3 ∨ ¬p4 φ7 ≡ p4 Show using resolution that (φ1 ∧ φ2 ∧ φ3 ∧ φ4 ∧ φ5 ∧ φ6) → φ7 is valid.

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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Show using tableaux that the following wff is valid:(p → q) → (p → (q ∨ r))
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