2. Using the method of full or partial truth tables, say whether the following sentences of L1 are tautologies or not. If not, give a counterexample. (a) ¬(P → Q) –→ (P + ¬P) (b) (PAQ→ R) → (P → ¬Q V R) (c) (P → (Q → R)) → ((P → Q) –→ R)
2. Using the method of full or partial truth tables, say whether the following sentences of L1 are tautologies or not. If not, give a counterexample. (a) ¬(P → Q) –→ (P + ¬P) (b) (PAQ→ R) → (P → ¬Q V R) (c) (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:2. Using the method of full or partial truth tables, say whether
the following sentences of L1 are tautologies or not. If not,
give a counterexample.
(a) ¬(P → Q) (P
→ ¬P)
(b) (PAQ→ R) → (P → ¬Q V R)
(c) (P → (Q → R)) → ((P → Q) –→ R)
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