Reduction (complexity)

Truth-table reduction

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 B by asking questions about the membership of various elements in A 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. (Wikipedia).

Video thumbnail

Solving and graphing a two step absolute value inequality

👉 Learn how to solve absolute value inequalities. The absolute value of a number is the positive value of the number. For instance, the absolute value of 2 is 2 and the absolute value of -2 is also 2. To solve an absolute value inequality, we create the two cases of absolute value problems

From playlist Solve Absolute Value Inequalities

Video thumbnail

Solving an absolute value inequality by switching the signs

👉 Learn how to solve absolute value inequalities. The absolute value of a number is the positive value of the number. For instance, the absolute value of 2 is 2 and the absolute value of -2 is also 2. To solve an absolute value inequality, we create the two cases of absolute value problems

From playlist Solve Absolute Value Inequalities

Video thumbnail

How to solve a one variable absolute value inequality or statement

👉 Learn how to solve absolute value inequalities. The absolute value of a number is the positive value of the number. For instance, the absolute value of 2 is 2 and the absolute value of -2 is also 2. To solve an absolute value inequality, we create the two cases of absolute value problems

From playlist Solve Absolute Value Inequalities

Video thumbnail

Solving and graphing an inequalty as an absolute value

👉 Learn how to solve absolute value inequalities. The absolute value of a number is the positive value of the number. For instance, the absolute value of 2 is 2 and the absolute value of -2 is also 2. To solve an absolute value inequality, we create the two cases of absolute value problems

From playlist Solve Absolute Value Inequalities

Video thumbnail

Solving and graphing an absolute value inequality with an or inequality

👉 Learn how to solve absolute value inequalities. The absolute value of a number is the positive value of the number. For instance, the absolute value of 2 is 2 and the absolute value of -2 is also 2. To solve an absolute value inequality, we create the two cases of absolute value problems

From playlist Solve Absolute Value Inequalities

Video thumbnail

Solve and graph an absolute value inequality

👉 Learn how to solve absolute value inequalities. The absolute value of a number is the positive value of the number. For instance, the absolute value of 2 is 2 and the absolute value of -2 is also 2. To solve an absolute value inequality, we create the two cases of absolute value problems

From playlist Solve Absolute Value Inequalities

Video thumbnail

How to solve and graph an absolute value inequality

👉 Learn how to solve absolute value inequalities. The absolute value of a number is the positive value of the number. For instance, the absolute value of 2 is 2 and the absolute value of -2 is also 2. To solve an absolute value inequality, we create the two cases of absolute value problems

From playlist Solve Absolute Value Inequalities

Video thumbnail

Learn how to solve an graph an absolute value inequality

👉 Learn how to solve absolute value inequalities. The absolute value of a number is the positive value of the number. For instance, the absolute value of 2 is 2 and the absolute value of -2 is also 2. To solve an absolute value inequality, we create the two cases of absolute value problems

From playlist Solve Absolute Value Inequalities

Video thumbnail

Using parent graphs to understand the left and right hand limits

👉 Learn how to evaluate the limit of an absolute value function. The limit of a function as the input variable of the function tends to a number/value is the number/value which the function approaches at that time. The absolute value function is a function which only takes the positive val

From playlist Evaluate Limits of Absolute Value

Video thumbnail

The Minimum Formula Size Problem is (ETH) Hard - Rahul Ilango

Computer Science/Discrete Mathematics Seminar I Topic: The Minimum Formula Size Problem is (ETH) Hard Speaker: Rahul Ilango Affiliation: Massachusetts Institute of Technology Date: March 7, 2022 Understanding the complexity of the Minimum Circuit Size Problem (MCSP) is a longstanding mys

From playlist Mathematics

Video thumbnail

The deterministic communication complexity of approximate fixed point - Weinstein

Computer Science/Discrete Mathematics Seminar Topic: The deterministic communication complexity of approximate fixed point Speaker: Omri Weinstein Date: Monday, February 22 We study the two-party communication complexity of the geometric problem of finding an approximate Brouwer fixed-po

From playlist Mathematics

Video thumbnail

4.2.4 Logic Simplification

MIT 6.004 Computation Structures, Spring 2017 Instructor: Chris Terman View the complete course: https://ocw.mit.edu/6-004S17 YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP62WVs95MNq3dQBqY2vGOtQ2 4.2.4 Logic Simplification License: Creative Commons BY-NC-SA More info

From playlist MIT 6.004 Computation Structures, Spring 2017

Video thumbnail

Foundations - Seminar 2

Billy Price and Will Troiani present a series of seminars on foundations of mathematics. In this seminar Billy introduces natural deduction as a proof system. You can join this seminar from anywhere, on any device, at https://www.metauni.org. This video was filmed in Deprecation (https:/

From playlist Foundations seminar

Video thumbnail

Making Proofs More Constructive, and Algorithms Less Random - Oliver Korten

Computer Science/Discrete Mathematics Seminar I Topic: Making Proofs More Constructive, and Algorithms Less Random Speaker: Oliver Korten 11:15am|Simonyi 101 and Remote Access Affiliation: Columbia University September 26, 202 A central topic in the theory of computation is derandomizati

From playlist Mathematics

Video thumbnail

4.2.5 Karnaugh Maps

MIT 6.004 Computation Structures, Spring 2017 Instructor: Chris Terman View the complete course: https://ocw.mit.edu/6-004S17 YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP62WVs95MNq3dQBqY2vGOtQ2 4.2.5 Karnaugh Maps License: Creative Commons BY-NC-SA More information

From playlist MIT 6.004 Computation Structures, Spring 2017

Video thumbnail

Quantifying Uncertainty in Subsurface Systems

Presentation based on the book published by Wiley Scheidt, C., Li, L & Caers, J, 2018. "Quantifying Uncertainty in Subsurface Systems.

From playlist Uncertainty Quantification

Video thumbnail

Donald Hoffman - How Do Human Brains Function?

What is it about human brains that enable both the regulation of bodily activities and the generation of mental thoughts? What are the mechanisms of human brain function? How do they integrate to give the sense of mental unity? What happens when something in the brain goes wrong—abnormalit

From playlist Closer To Truth - Donald Hoffman Interviews

Video thumbnail

What Are Numbers? Philosophy of Mathematics (Elucidations)

What is mathematics about and how do we acquire mathematical knowledge? Mathematics seems to be about numbers, but what exactly are numbers? Are numbers and other mathematical objects something discovered or invented? Daniel Sutherland discusses some of these issues in the philosophy of ma

From playlist Logic & Philosophy of Mathematics

Video thumbnail

Adding fractions with like denominators - math homework answers

👉 Learn how to add or subtract fractions with common denominators. When adding or subtracting two or more fractions with common denominators, we add or subtract only the numerator while we keep the denominator the same. We will then simplify our answer by reducing the fraction if necessar

From playlist Add and Subtract Fractions with Like Denominators

Related pages

KÅ‘nig's lemma | Natural number | Computable function | Boolean function | Computability theory | Reduction (complexity) | Turing reduction