Polynomial-Time Reduction

Visualizing $A \le_p B$

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Problem A

(e.g., 3-SAT)
$(x_1 \lor x_2 \lor x_3) \dots$
Poly-time $f(x)$

Problem B

(e.g., Clique)
Black-Box Solver
$G = (V,E), k=3$
Answer for B is YES $\implies$ Answer for A is YES.
Current/Active
Mapping/Reducing
Complete/Solved