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Data Structures and Algorithms
truth tables. Prove the following logical equivalences without using (a) ((¬p → F) → p) = T (b) (p V q) ^ ( ¬p V r) → (q V r) = T (c) (p V q) ^ (¬q → r) ^ ((¬q V r) → q) = q

truth tables. Prove the following logical equivalences without using (a) ((¬p → F) → p) = T (b) (p V q) ^ ( ¬p V r) → (q V r) = T (c) (p V q) ^ (¬q → r) ^ ((¬q V r) → q) = q

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truth tables. Prove the following logical equivalences without using (a) ((¬p → F) → p) = T (b) (p V q) ^ ( ¬p V r) → (q V r) = T (c) (p V q) ^ (¬q → r) ^ ((¬q V r) → q) = q
Transcribed Image Text:truth tables. Prove the following logical equivalences without using (a) ((¬p → F) → p) = T (b) (p V q) ^ ( ¬p V r) → (q V r) = T (c) (p V q) ^ (¬q → r) ^ ((¬q V r) → q) = q
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