(a) Determine which of the following compound propositions are satisfiable: P)A (F → q) ^ (q → p) ((p®q) → r) ^ (p → (q ® r))
(a) Determine which of the following compound propositions are satisfiable: P)A (F → q) ^ (q → p) ((p®q) → r) ^ (p → (q ® r))
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:1. (a)
Determine which of the following compound propositions are satisfiable:
o(P→r) ^ (r –→ q) ^ (q → p)
((peq) → r) ^ (p → (q ® r))
(b)
Prove the validity of the following argument:
(х)(Р(x) — Q(х))
(3x)(P(x) A ¬R(x))
·. (Ix)(Q(x) A ¬R(x))
(c)
Prove that p ↑ q is a functionally complete collection of logical operators.
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