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Algorithm and Halting problem

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

Difference between Algorithm and Halting problem

Algorithm vs. Halting problem

In mathematics and computer science, an algorithm is an unambiguous specification of how to solve a class of problems. 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 (i.e., halt) or continue to run forever.

Similarities between Algorithm and Halting problem

Algorithm and Halting problem have 34 things in common (in Unionpedia): Alan Turing, Alan Turing: The Enigma, Alfred North Whitehead, Algorithm, Alonzo Church, Bertrand Russell, Busy beaver, Church–Turing thesis, Computability theory, Computation, Computer program, Correctness (computer science), David Hilbert, Effective method, Emil Leon Post, Entscheidungsproblem, Heuristic (computer science), Human brain, Interpreter (computing), J. Barkley Rosser, Kurt Gödel, Lambda calculus, London Mathematical Society, P versus NP problem, Partial function, Post–Turing machine, Programming language, Pseudocode, Reduction (complexity), Register machine, ..., Simon & Schuster, Stephen Cole Kleene, Turing completeness, Turing machine. Expand index (4 more) »

Alan Turing

Alan Mathison Turing (23 June 1912 – 7 June 1954) was an English computer scientist, mathematician, logician, cryptanalyst, philosopher, and theoretical biologist.

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Alan Turing: The Enigma

Alan Turing: The Enigma (1983) is a biography of the British mathematician, codebreaker, and early computer scientist, Alan Turing (1912–1954) by Andrew Hodges.

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Alfred North Whitehead

Alfred North Whitehead (15 February 1861 – 30 December 1947) was an English mathematician and philosopher.

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Algorithm

In mathematics and computer science, an algorithm is an unambiguous specification of how to solve a class of problems.

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Alonzo Church

Alonzo Church (June 14, 1903 – August 11, 1995) was an American mathematician and logician who made major contributions to mathematical logic and the foundations of theoretical computer science.

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Bertrand Russell

Bertrand Arthur William Russell, 3rd Earl Russell, (18 May 1872 – 2 February 1970) was a British philosopher, logician, mathematician, historian, writer, social critic, political activist, and Nobel laureate.

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Busy beaver

The busy beaver game consists of designing a halting, binary-alphabet Turing machine which writes the most 1s on the tape, using only a limited set of states.

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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 hypothesis about the nature of computable functions.

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Computability theory

Computability theory, also known as recursion theory, is a branch of mathematical logic, of computer science, and of the theory of computation that originated in the 1930s with the study of computable functions and Turing degrees.

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Computation

Computation is any type of calculation that includes both arithmetical and non-arithmetical steps and follows a well-defined model, for example an algorithm.

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Computer program

A computer program is a collection of instructions for performing a specific task that is designed to solve a specific class of problems.

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Correctness (computer science)

In theoretical computer science, correctness of an algorithm is asserted when it is said that the algorithm is correct with respect to a specification.

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David Hilbert

David Hilbert (23 January 1862 – 14 February 1943) was a German mathematician.

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Effective method

In logic, mathematics and computer science, especially metalogic and computability theory, an effective methodHunter, Geoffrey, Metalogic: An Introduction to the Metatheory of Standard First-Order Logic, University of California Press, 1971 or effective procedure is a procedure for solving a problem from a specific class.

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Emil Leon Post

Emil Leon Post (February 11, 1897 – April 21, 1954) was an American mathematician and logician.

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Entscheidungsproblem

In mathematics and computer science, the Entscheidungsproblem (German for "decision problem") is a challenge posed by David Hilbert in 1928.

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Heuristic (computer science)

In computer science, artificial intelligence, and mathematical optimization, a heuristic (from Greek εὑρίσκω "I find, discover") is a technique designed for solving a problem more quickly when classic methods are too slow, or for finding an approximate solution when classic methods fail to find any exact solution.

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Human brain

The human brain is the central organ of the human nervous system, and with the spinal cord makes up the central nervous system.

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Interpreter (computing)

In computer science, an interpreter is a computer program that directly executes, i.e. performs, instructions written in a programming or scripting language, without requiring them previously to have been compiled into a machine language program.

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J. Barkley Rosser

John Barkley Rosser Sr. (December 6, 1907 – September 5, 1989) was an American logician, a student of Alonzo Church, and known for his part in the Church–Rosser theorem, in lambda calculus.

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Kurt Gödel

Kurt Friedrich Gödel (April 28, 1906 – January 14, 1978) was an Austrian, and later American, logician, mathematician, and philosopher.

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Lambda calculus

Lambda calculus (also written as λ-calculus) is a formal system in mathematical logic for expressing computation based on function abstraction and application using variable binding and substitution.

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London Mathematical Society

The London Mathematical Society (LMS) is one of the United Kingdom's learned societies for mathematics (the others being the Royal Statistical Society (RSS) and the Institute of Mathematics and its Applications (IMA)).

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P versus NP problem

The P versus NP problem is a major unsolved problem in computer science.

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Partial function

In mathematics, a partial function from X to Y (written as or) is a function, for some subset X ′ of X.

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Post–Turing machine

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

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Programming language

A programming language is a formal language that specifies a set of instructions that can be used to produce various kinds of output.

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Pseudocode

Pseudocode is an informal high-level description of the operating principle of a computer program or other algorithm.

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Reduction (complexity)

In computability theory and computational complexity theory, a reduction is an algorithm for transforming one problem into another problem.

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Register machine

In mathematical logic and theoretical computer science a register machine is a generic class of abstract machines used in a manner similar to a Turing machine.

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Simon & Schuster

Simon & Schuster, Inc., a subsidiary of CBS Corporation, is an American publishing company founded in New York City in 1924 by Richard Simon and Max Schuster.

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Stephen Cole Kleene

Stephen Cole Kleene (January 5, 1909 – January 25, 1994) was an American mathematician.

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Turing completeness

In computability theory, a system of data-manipulation rules (such as a computer's instruction set, a programming language, or a cellular automaton) is said to be Turing complete or computationally universal if it can be used to simulate any Turing machine.

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Turing machine

A Turing machine is a mathematical model of computation that defines an abstract machine, which manipulates symbols on a strip of tape according to a table of rules.

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The list above answers the following questions

Algorithm and Halting problem Comparison

Algorithm has 288 relations, while Halting problem has 97. As they have in common 34, the Jaccard index is 8.83% = 34 / (288 + 97).

References

This article shows the relationship between Algorithm and Halting problem. To access each article from which the information was extracted, please visit:

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