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Algorithmically random sequence and Turing reduction

Shortcuts: Differences, Similarities, Jaccard Similarity Coefficient, References.

Difference between Algorithmically random sequence and Turing reduction

Algorithmically random sequence vs. Turing reduction

Intuitively, an algorithmically random sequence (or random sequence) is a sequence of binary digits that appears random to any algorithm running on a (prefix-free or not) universal Turing machine. In computability theory, a Turing reduction from a decision problem A to a decision problem B is an oracle machine that decides problem A given an oracle for B (Rogers 1967, Soare 1987).

Similarities between Algorithmically random sequence and Turing reduction

Algorithmically random sequence and Turing reduction have 6 things in common (in Unionpedia): Church–Turing thesis, Computably enumerable set, Halting problem, Oracle machine, Turing degree, Universal Turing machine.

Church–Turing thesis

In computability theory, the Church–Turing thesis (also known as computability thesis, the Turing–Church thesis, the Church–Turing conjecture, Church's thesis, Church's conjecture, and Turing's thesis) is a thesis about the nature of computable functions.

Algorithmically random sequence and Church–Turing thesis · Church–Turing thesis and Turing reduction · See more »

Computably enumerable set

In computability theory, a set S of natural numbers is called computably enumerable (c.e.), recursively enumerable (r.e.), semidecidable, partially decidable, listable, provable or Turing-recognizable if.

Algorithmically random sequence and Computably enumerable set · Computably enumerable set and Turing reduction · See more »

Halting problem

In computability theory, the halting problem is the problem of determining, from a description of an arbitrary computer program and an input, whether the program will finish running, or continue to run forever.

Algorithmically random sequence and Halting problem · Halting problem and Turing reduction · See more »

Oracle machine

In complexity theory and computability theory, an oracle machine is an abstract machine used to study decision problems.

Algorithmically random sequence and Oracle machine · Oracle machine and Turing reduction · See more »

Turing degree

In computer science and mathematical logic the Turing degree (named after Alan Turing) or degree of unsolvability of a set of natural numbers measures the level of algorithmic unsolvability of the set.

Algorithmically random sequence and Turing degree · Turing degree and Turing reduction · See more »

Universal Turing machine

In computer science, a universal Turing machine (UTM) is a Turing machine capable of computing any computable sequence, as described by Alan Turing in his seminal paper "On Computable Numbers, with an Application to the Entscheidungsproblem".

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The list above answers the following questions

Algorithmically random sequence and Turing reduction Comparison

Algorithmically random sequence has 51 relations, while Turing reduction has 46. As they have in common 6, the Jaccard index is 6.19% = 6 / (51 + 46).

References

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