Q: The propositional variables b, v, and s represent the propositions: b: Alice rode her bike today. v: Alice overslept today. s: It is sunny today. Select the logical expression that represents the statement: “Alice rode her bike today only if it was sunny today and she did not oversleep.”

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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Q: The propositional variables b, v, and s represent the propositions:

b: Alice rode her bike today.

v: Alice overslept today.

s: It is sunny today.

Select the logical expression that represents the statement: “Alice rode her bike today only if it was sunny today and she did not oversleep.”

  1.  b→(s→¬v)

    2. b→(s∧¬v)

  3. s∧(¬v→b)

4.  (s∧¬v)→b

Group of answer choices

b→(s∧¬v)
b→(s→¬v)
s∧(¬v→b)
(s∧¬v)→b
 

2);  The following two statements are logically equivalent

 

(p → q) ∧ (r → q) and (p ∧ r) → q

Group of answer choices
True
False
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