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In computational complexity theory, a fine-grained reduction is a transformation from one computational problem to another, used to relate the difficulty of improving the time bounds for the two problems.Intuitively, it provides a method for solving one problem efficiently by using the solution to the other problem as a subroutine.If problem A {\displaystyle A} can be solved in time a {\displaystyle a} and problem B {\displaystyle B} can be solved in time b {\displaystyle b} , then the existence of an {\displaystyle } -reduction from problem A {\displaystyle A} to problem B {\displaystyle B} implies that any significant speedup for problem B {\displaystyle B} would also lead to a speedup for problem A {\displaystyle A}.