(b) Let propositions p, q, r, s,t be defined as: • p: It is warm outside • q: I am wearing a jacket • r: It is winter • s: I am drinking tea • 1: It gets dark before 4PM Assume the following statements: If it is not winter, then I am drinking tea • If it is not warm outside, I am wearing a jacket • If it is winter, then it is not warm outside and it gets dark before 4PM . I am not drinking tea Using the rules of inference, prove that I am wearing a jacket. State which rule you are using at each step. You do not need to draw a proof tree.

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
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(b) Let propositions p, q, r, s, t be defined as:
• p: It is warm outside
q: I am wearing a jacket
• r: It is winter
s: I am drinking tea
• t: It gets dark before 4PM
Assume the following statements:
• If it is not winter, then I am drinking tea
• If it is not warm outside, I am wearing a jacket
• If it is winter, then it is not warm outside and it gets dark before 4PM
• I am not drinking tea
Using the rules of inference, prove that I am wearing a jacket. State which rule you are
using at each step. You do not need to draw a proof tree.
Transcribed Image Text:(b) Let propositions p, q, r, s, t be defined as: • p: It is warm outside q: I am wearing a jacket • r: It is winter s: I am drinking tea • t: It gets dark before 4PM Assume the following statements: • If it is not winter, then I am drinking tea • If it is not warm outside, I am wearing a jacket • If it is winter, then it is not warm outside and it gets dark before 4PM • I am not drinking tea Using the rules of inference, prove that I am wearing a jacket. State which rule you are using at each step. You do not need to draw a proof tree.
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