1. Suppose a knowledge base has the following sentences Sam plays baseball or Paul plays baseball Sam plays baseball or Ryan doesn't play baseball Represent the knowledge base as a Boolean expression using propositional symbols and logical connectives Does this knowledge-base entail the following? If yes provide the reason why and if not provide a counterexample that there exists a model where KB is true but the sentence is false A. Sam and Ryan both play baseball B. At least one among Sam, Paul and Ryan play baseball

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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1. Suppose a knowledge base has the following sentences
Sam plays baseball or Paul plays baseball
Sam plays baseball or Ryan doesn't play baseball
Represent the knowledge base as a Boolean expression using propositional symbols and
logical connectives
Does this knowledge-base entail the following? If yes provide the reason why and if not
provide a counterexample that there exists a model where KB is true but the sentence is
false
A. Sam and Ryan both play baseball
B. At least one among Sam, Paul and Ryan play baseball
Transcribed Image Text:1. Suppose a knowledge base has the following sentences Sam plays baseball or Paul plays baseball Sam plays baseball or Ryan doesn't play baseball Represent the knowledge base as a Boolean expression using propositional symbols and logical connectives Does this knowledge-base entail the following? If yes provide the reason why and if not provide a counterexample that there exists a model where KB is true but the sentence is false A. Sam and Ryan both play baseball B. At least one among Sam, Paul and Ryan play baseball
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