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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
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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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)
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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