Consider the following list of sentences about members of the set Pof all pets. 1. If any pet is not a black cat, then that pet has a tail. 2. If some pet has a tail, then that pet is a black cat. 3. At least one pet is a black cat. 4. Every pet which is a black cat has a tail. 5. Every pet which has a tail is a black cat. 6. If a pet is a black cat, then that pet does not have a tall. 7. Every pet which is a black cat does not have a tail. 8. At least one pet is a black cat and has a tail. Let b (x) be the predicate x is a block cat and let t (2) be the predicate x has o toil. 1) Væ € P, b (x) → t (2) 2) Væ e P, t (x) → b (z2) 3) 3a e P|6 (2) A t (x) 4) Væ € P, -b (x) → t (2) 5) Væ € P, b (w) → t (æ) 6) 3a € P|b (x)

Consider the following list of sentences about members of the set Pof all pets. 1. If any pet is not a black cat, then that pet has a tail. 2. If some pet has a tail, then that pet is a black cat. 3. At least one pet is a black cat. 4. Every pet which is a black cat has a tail. 5. Every pet which has a tail is a black cat. 6. If a pet is a black cat, then that pet does not have a tall. 7. Every pet which is a black cat does not have a tail. 8. At least one pet is a black cat and has a tail. Let b (x) be the predicate x is a block cat and let t (2) be the predicate x has o toil. 1) Væ € P, b (x) → t (2) 2) Væ e P, t (x) → b (z2) 3) 3a e P|6 (2) A t (x) 4) Væ € P, -b (x) → t (2) 5) Væ € P, b (w) → t (æ) 6) 3a € P|b (x)

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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Question

Consider the following list of sentences about members of the set P of all pets.
1. If any pet is not a black cat, then that pet has a tail.
2. If some pet has a tail, then that pet is a black cat.
3. At least one pet is a black cat.
4. Every pet which is a black cat has a tail.
5. Every pet which has a tail is a black cat.
6. If a pet is a black cat, then that pet does not have a tall.
7. Every pet which is a black cat does not have a tail.
8. At least one pet is a black cat and has a tail.
Let b (x) be the predicate x is a black cat and let t (x) be the predicate x has a tail.
1) Va € P, b (x) →t (2)
2) Væ € P, t (x) → b(æ)
3) 3a € P|b (x) A t (z)
4) Væ € P, -b (x) →t (x)
5) Va € P, b (r) → t(2)
6) Jr € P|b(2)

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