Question: We have defined a relation < = p ( polynomial time reduction ) among languages. We noted that it is reflexive ( that is ,

We have defined a relation <=p (polynomial time reduction) among languages. We noted that
it is reflexive (that is, L <=p L for all languages L) and transitive (that is, if L1<=p L2 and
L2<=p L3 then L1<=p L3). Show that it is not symmetric, namely, L1<=p L2 need not imply
L2<=p L1.

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