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- Truth-table_reduction abstract "In 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.A Turing reduction from a set B to a set A computes the membership of a single element in A by asking questions about the membership of various elements in B during the computation; it may adaptively determine which questions it asks based upon answers to previous questions. In contrast, a truth-table reduction or a weak truth-table reduction must present all of its (finitely many) oracle queries at the same time. In a truth-table reduction, the reduction also gives a boolean function (a truth table) which, when given the answers to the queries, will produce the final answer of the reduction. In a weak truth-table reduction, the reduction uses the oracle answers as a basis for further computation which may depend on the given answers but may not ask further questions of the oracle.Equivalently, a weak truth-table reduction is a Turing reduction for which the use of the reduction is bounded by a computable function. For this reason, they are sometimes referred to as bounded Turing (bT) reductions rather than as weak truth-table (wtt) reductions.".
- Truth-table_reduction wikiPageID "2695407".
- Truth-table_reduction wikiPageRevisionID "589423816".
- Truth-table_reduction hasPhotoCollection Truth-table_reduction.
- Truth-table_reduction subject Category:Computability_theory.
- Truth-table_reduction subject Category:Computational_complexity_theory.
- Truth-table_reduction comment "In 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.".
- Truth-table_reduction label "Truth-table reduction".
- Truth-table_reduction sameAs m.07ygk7.
- Truth-table_reduction sameAs Q7848253.
- Truth-table_reduction sameAs Q7848253.
- Truth-table_reduction wasDerivedFrom Truth-table_reduction?oldid=589423816.
- Truth-table_reduction isPrimaryTopicOf Truth-table_reduction.