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Use algorithm TautologyTest to prove that the following expressions are tautologies. [ВЛ(4— B)] — b. [(4→ B) ^ A]→B (AV B) Л4 — в a. C.

Use algorithm TautologyTest to prove that the following expressions are tautologies. [ВЛ(4— B)] — b. [(4→ B) ^ A]→B (AV B) Л4 — в a. C.

Computer Networking: A Top-Down Approach (7th Edition)
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
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Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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Use algorithm TautologyTest to prove that the following expressions are tautologies. [ВЛ(4— B)] — b. [(4→ B) ^ A]→B (AV B) Л4 — в a. C.
Transcribed Image Text:Use algorithm TautologyTest to prove that the following expressions are tautologies. [ВЛ(4— B)] — b. [(4→ B) ^ A]→B (AV B) Л4 — в a. C.
Expert Solution
Step 1

Tautology means the expression which always true for all possible set of values.

 

Step 2

a. [B'∧(A→B)]→A'

[B'∧(A'∨B)]→A'

[(B'∧A')∨(B'∧B)]→A'

[(B'∧A')∨(0)]→A'

(B'∧A')→A'

(B'∧A')'∨A'

(B∨A)∨A'

B∨A∨A'

B∨1

=1

Hence, the given expression is Tautology.

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