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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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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