Given the following: If the unicorn is mythical, then it is immortal, but if it is not mythical, then it is a mortal mammal. If the unicorn is either immortal or a mammal, then it is horned. The unicorn is magical if it is horned. Representing the above as a knowledge base of sentences in propositional logic using the proposition given below results in s1 through s4: Y: the unicorn is mythical I: the unicorn is immortal A: the unicorn is a mammal H: the unicorn is horned G: the unicorn is magical s1: If the unicorn is mythical, then it is immortal : Y =I s2: If it is not mythical, then it is a mortal mammal : ¬Y=A ^ ¬I s3: If the unicorn is either immortal or a mammal, then it is horned : I V A=H s4: The unicorn is magical if it is horned : H= G 1. 1 and show that the sentence G, the unicorn is magical, follows from the knowledge base (circle the models that satisfy the KB and G in the truth table). ) Use a truth table to show all interpretations/models that satisfy the knowledge base
Given the following: If the unicorn is mythical, then it is immortal, but if it is not mythical, then it is a mortal mammal. If the unicorn is either immortal or a mammal, then it is horned. The unicorn is magical if it is horned. Representing the above as a knowledge base of sentences in propositional logic using the proposition given below results in s1 through s4: Y: the unicorn is mythical I: the unicorn is immortal A: the unicorn is a mammal H: the unicorn is horned G: the unicorn is magical s1: If the unicorn is mythical, then it is immortal : Y =I s2: If it is not mythical, then it is a mortal mammal : ¬Y=A ^ ¬I s3: If the unicorn is either immortal or a mammal, then it is horned : I V A=H s4: The unicorn is magical if it is horned : H= G 1. 1 and show that the sentence G, the unicorn is magical, follows from the knowledge base (circle the models that satisfy the KB and G in the truth table). ) Use a truth table to show all interpretations/models that satisfy the knowledge base
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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![Given the following:
If the unicorn is mythical, then it is immortal, but if it is not mythical, then it is a
mortal mammal. If the unicorn is either immortal or a mammal, then it is horned. The
unicorn is magical if it is horned.
Representing the above as a knowledge base of sentences in propositional logic using
the proposition given below results in s1 through s4:
the unicorn is mythical
the unicorn is immortal
Y:
I:
A:
the unicorn is a mammal
H:
the unicorn is horned
G:
the unicorn is magical
s1: If the unicorn is mythical, then it is immortal : Y =I
s2: If it is not mythical, then it is a mortal mammal : ¬Y=A A -I
s3: If the unicorn is either immortal or a mammal, then it is horned : I V A =H
s4: The unicorn is magical if it is horned : H= G
1.
and show that the sentence G, the unicorn is magical, follows from the knowledge base (circle
the models that satisfy the KB and G in the truth table).
) Use a truth table to show all interpretations/models that satisfy the knowledge base
2. (е
that the unicorn has a horn
Use logical inference to prove by contradiction (refutation/reductio ad absurdum),](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1a078fe9-b703-4248-82dd-ef7f110aa49c%2F2563cb67-8e6d-466f-9813-2ab8c848f586%2Fswwy6it_processed.png&w=3840&q=75)
Transcribed Image Text:Given the following:
If the unicorn is mythical, then it is immortal, but if it is not mythical, then it is a
mortal mammal. If the unicorn is either immortal or a mammal, then it is horned. The
unicorn is magical if it is horned.
Representing the above as a knowledge base of sentences in propositional logic using
the proposition given below results in s1 through s4:
the unicorn is mythical
the unicorn is immortal
Y:
I:
A:
the unicorn is a mammal
H:
the unicorn is horned
G:
the unicorn is magical
s1: If the unicorn is mythical, then it is immortal : Y =I
s2: If it is not mythical, then it is a mortal mammal : ¬Y=A A -I
s3: If the unicorn is either immortal or a mammal, then it is horned : I V A =H
s4: The unicorn is magical if it is horned : H= G
1.
and show that the sentence G, the unicorn is magical, follows from the knowledge base (circle
the models that satisfy the KB and G in the truth table).
) Use a truth table to show all interpretations/models that satisfy the knowledge base
2. (е
that the unicorn has a horn
Use logical inference to prove by contradiction (refutation/reductio ad absurdum),
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