Question 2. Consider the formulas (i) ((A→ B) → A) → A (ii) A → (B → (A – A)) where A and B are atomic formulas. (a) compute the ranks of the formulas (i) and (ii). (b) Which of the formulas (i) and (ii) are tautologies?
Question 2. Consider the formulas (i) ((A→ B) → A) → A (ii) A → (B → (A – A)) where A and B are atomic formulas. (a) compute the ranks of the formulas (i) and (ii). (b) Which of the formulas (i) and (ii) are tautologies?
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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![Question 2. Consider the formulas
(i) ((A B) A)A
(ii) A → (B → (A → A))
where A and B are atomic formulas.
(a) compute the ranks of the formulas (i) and (ii).
(b) Which of the formulas (i) and (ii) are tautologies?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd0f8892e-30c8-410c-bb56-3f9903ad2c7b%2Fcaf55b90-8acb-4cf2-aa68-372b29da6df0%2Fdik6nk_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Question 2. Consider the formulas
(i) ((A B) A)A
(ii) A → (B → (A → A))
where A and B are atomic formulas.
(a) compute the ranks of the formulas (i) and (ii).
(b) Which of the formulas (i) and (ii) are tautologies?
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