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High Quality Content by WIKIPEDIA articles! n computability theory, a truth table reduction is a reduction from one set of natural numbers to another. As a "tool", it is weaker than Turing reduction, since not every Turing reduction between sets can be performed by a truth table reduction, but every truth table reduction can be performed by a Turing reduction. For the same reason it is said to be a stronger reducibility than Turing reducibility, because it implies Turing reducibility. A weak truth table reduction is a related type of reduction which is so named because it weakens the constraints placed on a truth table reduction, and provides a weaker equivalence classification; as such, a "weak truth table reduction" can actually be more powerful than a truth table reduction as a "tool", and perform a reduction which is not performable by truth table.