Total Points: 25
1. Give a precise definition of the following terms: (5 X 2 = 10) A. Knowledge-base
B. Inference
C. Model
D. Entailment
E. Valid Sentence
2. Suppose a knowledge base has following sentences (15) 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 [3]
Does this knowledge-base entail the following? If yes provide the reason why and if not provide a counter-example that there exists a model where KB is true but the sentence is false
A. Sam and Ryan both play baseball (1 + 5)
B. At least one among Sam, Paul and Ryan play baseball (1 + 5)
