Logical Equivalence
Category : JEE Main & Advanced
Logically equivalent statement : Two compound \[{{S}_{1}}(p,q,r,...)\] and \[{{S}_{2}}(p,q,r...)\] are said to be logically equivalent, or simply equivalent if they have the same truth values for all logically possibilities.
If statements \[{{S}_{1}}(p,q,r,...)\] and \[{{S}_{2}}(p,q,r...)\] are logically equivalent, then we write \[{{S}_{1}}(p,q,r,...)\equiv {{S}_{2}}(p,q,r...)\]
It follows from the above definition that two statements \[{{S}_{1}}\] and \[{{S}_{2}}\] are logically equivalent if they have identical truth tables i.e., the entries in the last column of the truth tables are same.
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