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You may use only the 17 rules of formal deduction for first-order logic, (E), and other

You may use only the 17 rules of formal deduction for first-order logic, (E), and other

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
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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Prove the following by formal deduction. You may use only the 17 rules of formal deduction for first-order logic, (E), and other rules explicitly allowed in the question part. (a) VxF(x) v VxG(x) — Vx(F(x) v G(x)) (b) 3xF(x) 3xG(x) + 3x(F(x) v G(x)) You may also use the rule (Tr). (c)¬AHA → B (d) ØHAV¬A (e) Ø 3x(F(x) → VyF(y)) F You may use the results of parts (c) and (d) and the theorems ¬VxF(x) + 3x¬F(x) and (Tr).
Transcribed Image Text:Prove the following by formal deduction. You may use only the 17 rules of formal deduction for first-order logic, (E), and other rules explicitly allowed in the question part. (a) VxF(x) v VxG(x) — Vx(F(x) v G(x)) (b) 3xF(x) 3xG(x) + 3x(F(x) v G(x)) You may also use the rule (Tr). (c)¬AHA → B (d) ØHAV¬A (e) Ø 3x(F(x) → VyF(y)) F You may use the results of parts (c) and (d) and the theorems ¬VxF(x) + 3x¬F(x) and (Tr).
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