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If problem A is reduced to a problem B and B $\in$ P, then A $\in$ P

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Assume all reductions are done in polynomial time
*If problem A is reduced to a problem B and B $\in$ P, then A $\in$ P

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Assume all reductions are done in polynomial time

If problem A is reduced to a problem B and B $\in$ P, then A $\in$ P