Exercise 1.3.10: Determining if a truth value of a compound expression is known given a partial truth assignment.   The variable p is true, q is false, and the truth value for variable r is unknown. Indicate whether the truth value of each logical expression is true, false, or unknown. (a) p → (q ∧ r) (b) (p ∨ r) → r (c) (p ∨ r) ↔ (q ∧ r) (d) (p ∧ r) ↔ (q ∧ r) (e) p → (r ∨ q) (f) (p ∧ q) → r

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
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Exercise 1.3.10: Determining if a truth value of a compound expression is known given a partial truth assignment.
 

The variable p is true, q is false, and the truth value for variable r is unknown. Indicate whether the truth value of each logical expression is true, false, or unknown.

(a)

p → (q ∧ r)

(b)

(p ∨ r) → r

(c)

(p ∨ r) ↔ (q ∧ r)

(d)

(p ∧ r) ↔ (q ∧ r)

(e)

p → (r ∨ q)

(f)

(p ∧ q) → r

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