In computability theory, a Turing reduction from a decision problem A {\displaystyle A} to a decision problem B {\displaystyle B} is an oracle machine...

polynomial-time reduction, from the most to the least restrictive, are polynomial-time many-one reductions, truth-table reductions, and Turing reductions. The most...

computational complexity theory, a log-space reduction is a reduction computable by a deterministic Turing machine using logarithmic space. Conceptually...

{\displaystyle L_{1}} . Many-one reductions are a special case and stronger form of Turing reductions. With many-one reductions, the oracle (that is, our solution...

two main types of reductions used in computational complexity, the many-one reduction and the Turing reduction. Many-one reductions map instances of one...

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an elder brother, John Ferrier Turing, father of Sir John Dermot Turing, 12th Baronet of the Turing baronets. Turing's father's civil service commission...

term reduction was used in the technical meaning of a polynomial-time many-one reduction. Another type of reduction is polynomial-time Turing reduction. A...

reducibility relation. For example, the Turing degrees are the equivalence classes of sets of naturals induced by Turing reducibility. The degrees of any reducibility...

non-deterministic Turing machine. The problem is #P-hard, meaning that every other problem in #P has a Turing reduction or polynomial-time counting reduction to it...

for an example. The definition of NP-easy uses a Turing reduction rather than a many-one reduction because the answers to problem Y are only TRUE or...

computability theory, the Church–Turing thesis (also known as computability thesis, the Turing–Church thesis, the Church–Turing conjecture, Church's thesis...

performed by a truth-table reduction, but every truth-table reduction can be performed by a Turing reduction.) A Turing reduction from a set B to a set A...

A Post–Turing machine is a "program formulation" of a type of Turing machine, comprising a variant of Emil Post's Turing-equivalent model of computation...

Institute Turing Lecture Turing machine Turing patterns Turing reduction Turing switch Turing test Various institutions have paid tribute to Turing by naming...

of oracle Turing machines, as discussed below. The one presented here is from van Melkebeek (2003, p. 43). An oracle machine, like a Turing machine, includes:...

the complement is the set of all integers exceeding one. There is a Turing reduction from every problem to its complement problem. The complement operation...

computability (or recursive) theory, where it assumes the form of e.g. Turing reduction, but also in the realm of real-world computation in time (or space)...

deterministic Turing machines, probabilistic Turing machines, non-deterministic Turing machines, quantum Turing machines, symmetric Turing machines and...

Church, Rózsa Péter, Alan Turing, Stephen Kleene, and Emil Post. The fundamental results the researchers obtained established Turing computability as the correct...

non-deterministic Turing machine that runs in polynomial time, for which the output to the problem is the number of accepting paths of the Turing machine. Intuitively...

mathematical logic, the Friedberg–Muchnik theorem is a theorem about Turing reductions that was proven independently by Albert Muchnik and Richard Friedberg...

defining a new class GI, the set of problems with a polynomial-time Turing reduction to the graph isomorphism problem. If in fact the graph isomorphism...

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therefore suffices to show that if limit computability is preserved by Turing reduction, as this will show that all sets computable from 0 ′ {\displaystyle...

combinations. Lambda calculus is Turing complete, that is, it is a universal model of computation that can be used to simulate any Turing machine. Its namesake,...

that T-reducibility relates to μ-recursiveness. Turing reduction Many-one reduction Truth-table reduction Arithmetical hierarchy Shoenfield, J. R. (July...

Turing's proof is a proof by Alan Turing, first published in November 1936 with the title "On Computable Numbers, with an Application to the Entscheidungsproblem"...

problem considered in Turing's 1936 paper ("does a Turing machine starting from a blank tape ever print a given symbol?"). However, Turing equivalence is rather...