To prove the this identity -p → (q→r) = q→ (pvr) The following reasoning is valid: ¬p → (q→r)¬¬p v (q→ r) Conditional identity pv (q→ r) Double negation law pv (-q v r) Conditional identity (pv-q) v r Associative law (-q vp) v r Commutative law -qv (p v r) Associative law q→ (p v r) Conditional identity True False

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
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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To prove the this identity
-p(qr) = q (pvr)
The following reasoning is valid:
-p → (q→r)¬¬p v (q→r) Conditional identity
pv (q→ r) Double negation law
pv (-q v r) Conditional identity
(p v ¬q) v r Associative law
(-q vp) v r Commutative law
-qv (p v r) Associative law
q→ (p v r) Conditional identity
True
False
Transcribed Image Text:To prove the this identity -p(qr) = q (pvr) The following reasoning is valid: -p → (q→r)¬¬p v (q→r) Conditional identity pv (q→ r) Double negation law pv (-q v r) Conditional identity (p v ¬q) v r Associative law (-q vp) v r Commutative law -qv (p v r) Associative law q→ (p v r) Conditional identity True False
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