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In computability theory, the halting problem can be stated as follows: Given a description of an arbitrary computer program, decide whether the program finishes running or continues to run forever. This is equivalent to the problem of deciding, given a program and an input, whether the program will eventually halt when run with that input, or will run forever.
Alan Turing proved in 1936 that a general algorithm to solve the halting problem for all possible program-input pairs cannot exist. A key part of the proof was a mathematical definition of a computer and program, what became known as a Turing machine; the halting problem is undecidable over Turing machines. It is one of the first examples of a decision problem.
Jack Copeland (2004) attributes the term halting problem to Martin Davis.
The halting problem is a decision problem about properties of computer programs on a fixed Turing-complete model of computation, i.e. all programs that can be written in some given programming language that is general enough to be equivalent to a Turing machine. The problem is to determine, given a program and an input to the program, whether the program will eventually halt when run with that input. In this abstract framework, there are no resource limitations on the amount of memory or time required for the program's execution; it can take arbitrarily long, and use arbitrarily much storage space, before halting. The question is simply whether the given program will ever halt on a particular input.
This page contains text from Wikipedia, the Free Encyclopedia -
http://en.wikipedia.org/wiki/Halting_problem
This article is licensed under the Creative Commons Attribution-ShareAlike 3.0 Unported License, which means that you can copy and modify it as long as the entire work (including additions) remains under this license.
This article is licensed under the Creative Commons Attribution-ShareAlike 3.0 Unported License, which means that you can copy and modify it as long as the entire work (including additions) remains under this license.
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Riccardo Poli is a Professor in the Department of Computing and Electronic Systems of the University of Essex. He started his academic career with a Laurea an electronic engineer from the University of Florence in 1989. He then did a PhD in biomedical image analysis (1993) at the same university. He later became an expert in the field of Evolutionary Computation working as a Lecturer and then a Reader at the University of Birmingham from 1994 until 2001, when he moved to Essex as a professor.
Prof Poli has published around 240 refereed papers and two books (Langdon and Poli, 2002; Poli, Langdon, McPhee, 2008) on the theory and applications of genetic programming, evolutionary algorithms, particle swarm optimisation, biomedical engineering, brain-computer interfaces, neural networks, image analysis, signal processing, biology and psychology.
He is a Fellow of the International Society for Genetic and Evolutionary Computation (now ACM's SIGEVO special interest group)(2003–), a recipient of the EvoStar award for outstanding contributions to this field (2007), and an ACM SIGEVO executive board member (2007–2013). He was co-founder and co-chair of the European Conference on GP (EuroGP) (1998–2000, 2003). He was general chair (2004), track chair (2002, 2007), business committee member (2005), and competition chair (2006) of ACM’s Genetic and Evolutionary Computation Conference, co-chair of the Foundations of Genetic Algorithms Workshop (FOGA) (2002) and technical chair of the International Workshop on Ant Colony Optimisation and Swarm Intelligence (2006).
This page contains text from Wikipedia, the Free Encyclopedia -
http://en.wikipedia.org/wiki/Riccardo_Poli
This article is licensed under the Creative Commons Attribution-ShareAlike 3.0 Unported License, which means that you can copy and modify it as long as the entire work (including additions) remains under this license.
This article is licensed under the Creative Commons Attribution-ShareAlike 3.0 Unported License, which means that you can copy and modify it as long as the entire work (including additions) remains under this license.
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In this video we'll explore a little corner of a very interesting topic, the topic is computability.
Today we'll look at a particularly famous question, known as The Halting Problem.
Many folks are familiar the problem, and it's probable that you'll already know the ending, and understand the problem completely. In that case, I hope my foibles are entertaining!
I want to give the problem the respect it deserves. It's easy just to nod and smile when someone explains these things to us, but it's far more fun to understand it.
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Today we'll look at a particularly famous question, known as The Halting Problem.
Many folks are familiar the problem, and it's probable that you'll already know the ending, and understand the problem completely. In that case, I hope my foibles are entertaining!
I want to give the problem the respect it deserves. It's easy just to nod and smile when someone explains these things to us, but it's far more fun to understand it.
We're looking at it from a modern programming perspective, rather than Turing Machines, but the core ideas are the same.
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All rights reserved for http://www.aduni.org/ Published under the Creative Commons Attribution-ShareAlike license http://creativecommons.org/licenses/by-sa/2...
- published: 22 Jun 2010
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All rights reserved for http://www.aduni.org/ Published under the Creative Commons Attribution-ShareAlike license http://creativecommons.org/licenses/by-sa/2...
- published: 22 Jun 2010
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http://itunes.apple.com/au/artist/gslicer/id345037577.
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http://itunes.apple.com/au/artist/gslicer/id345037577.
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The Halting Problem - Part 1
The Halting Problem - Part 1
Part one of a two-part video on a famous theoretical result in computer science: The Halting Problem.- published: 10 Feb 2010
- views: 9933
- author: kjlg74
8:43
The Halting Problem - Part 2
Part two of a two-part video on a famous theoretical result in computer science: The Halti...
published: 10 Feb 2010
author: kjlg74
The Halting Problem - Part 2
The Halting Problem - Part 2
Part two of a two-part video on a famous theoretical result in computer science: The Halting Problem. Cypherus is voiced by YouTuber 1GOD1JESUS - subscribe t...- published: 10 Feb 2010
- views: 8260
- author: kjlg74
24:06
The Halting Problem
In this video we'll explore a little corner of a very interesting topic, the topic is comp...
published: 27 Jun 2014
The Halting Problem
The Halting Problem
In this video we'll explore a little corner of a very interesting topic, the topic is computability. Today we'll look at a particularly famous question, known as The Halting Problem. Many folks are familiar the problem, and it's probable that you'll already know the ending, and understand the problem completely. In that case, I hope my foibles are entertaining! I want to give the problem the respect it deserves. It's easy just to nod and smile when someone explains these things to us, but it's far more fun to understand it. We're looking at it from a modern programming perspective, rather than Turing Machines, but the core ideas are the same.- published: 27 Jun 2014
- views: 138
9:59
Lecture 13 - The Halting Problem (Part 1/7)
All rights reserved for http://www.aduni.org/ Published under the Creative Commons Attribu...
published: 22 Jun 2010
author: Coderisland
Lecture 13 - The Halting Problem (Part 1/7)
Lecture 13 - The Halting Problem (Part 1/7)
All rights reserved for http://www.aduni.org/ Published under the Creative Commons Attribution-ShareAlike license http://creativecommons.org/licenses/by-sa/2...- published: 22 Jun 2010
- views: 9798
- author: Coderisland
9:59
Lecture 13 - The Halting Problem (Part 2/7)
All rights reserved for http://www.aduni.org/ Published under the Creative Commons Attribu...
published: 22 Jun 2010
author: Coderisland
Lecture 13 - The Halting Problem (Part 2/7)
Lecture 13 - The Halting Problem (Part 2/7)
All rights reserved for http://www.aduni.org/ Published under the Creative Commons Attribution-ShareAlike license http://creativecommons.org/licenses/by-sa/2...- published: 22 Jun 2010
- views: 6087
- author: Coderisland
9:59
Lecture 13 - The Halting Problem (Part 3/7)
All rights reserved for http://www.aduni.org/ Published under the Creative Commons Attribu...
published: 22 Jun 2010
author: Coderisland
Lecture 13 - The Halting Problem (Part 3/7)
Lecture 13 - The Halting Problem (Part 3/7)
All rights reserved for http://www.aduni.org/ Published under the Creative Commons Attribution-ShareAlike license http://creativecommons.org/licenses/by-sa/2...- published: 22 Jun 2010
- views: 4159
- author: Coderisland
9:59
Lecture 13 - The Halting Problem (Part 4/7)
All rights reserved for http://www.aduni.org/ Published under the Creative Commons Attribu...
published: 22 Jun 2010
author: Coderisland
Lecture 13 - The Halting Problem (Part 4/7)
Lecture 13 - The Halting Problem (Part 4/7)
All rights reserved for http://www.aduni.org/ Published under the Creative Commons Attribution-ShareAlike license http://creativecommons.org/licenses/by-sa/2...- published: 22 Jun 2010
- views: 4089
- author: Coderisland
9:59
Lecture 13 - The Halting Problem (Part 5/7)
All rights reserved for http://www.aduni.org/ Published under the Creative Commons Attribu...
published: 22 Jun 2010
author: Coderisland
Lecture 13 - The Halting Problem (Part 5/7)
Lecture 13 - The Halting Problem (Part 5/7)
All rights reserved for http://www.aduni.org/ Published under the Creative Commons Attribution-ShareAlike license http://creativecommons.org/licenses/by-sa/2...- published: 22 Jun 2010
- views: 3170
- author: Coderisland
9:59
Lecture 13 - The Halting Problem (Part 6/7)
All rights reserved for http://www.aduni.org/ Published under the Creative Commons Attribu...
published: 23 Jun 2010
author: Coderisland
Lecture 13 - The Halting Problem (Part 6/7)
Lecture 13 - The Halting Problem (Part 6/7)
All rights reserved for http://www.aduni.org/ Published under the Creative Commons Attribution-ShareAlike license http://creativecommons.org/licenses/by-sa/2...- published: 23 Jun 2010
- views: 2864
- author: Coderisland
Youtube results:
24:49
L15: Proof by Diagonalization that ATM (Halting Problem) is Not Decidable
Proof, by diagonalization, that ATM, the Halting Problem, is not decidable....
published: 13 Dec 2012
author: UCDavis
L15: Proof by Diagonalization that ATM (Halting Problem) is Not Decidable
L15: Proof by Diagonalization that ATM (Halting Problem) is Not Decidable
Proof, by diagonalization, that ATM, the Halting Problem, is not decidable.- published: 13 Dec 2012
- views: 538
- author: UCDavis
5:20
Halting Problem - Blank Tape Problem - Reducibility - Decidability
How to reduce the halting problem to the blank tape problem....
published: 18 Apr 2012
author: oaklandcse
Halting Problem - Blank Tape Problem - Reducibility - Decidability
Halting Problem - Blank Tape Problem - Reducibility - Decidability
How to reduce the halting problem to the blank tape problem.- published: 18 Apr 2012
- views: 1375
- author: oaklandcse
9:01
Brandon Bradley: The Halting Problem and You!
Some programs, like ls, are designed do a single job and exit quickly. Other programs, lik...
published: 19 Apr 2013
author: jorendorff
Brandon Bradley: The Halting Problem and You!
Brandon Bradley: The Halting Problem and You!
Some programs, like ls, are designed do a single job and exit quickly. Other programs, like Web servers, should basically be able to run forever. Can we tell...- published: 19 Apr 2013
- views: 51
- author: jorendorff
79:07
L12: Universal Turing Machines; The Halting Problem is Recognizable but Not Decidable
Introduction to language ATM, the halting problem; Universal Turing machines show that ATM...
published: 13 Dec 2012
author: UCDavis
L12: Universal Turing Machines; The Halting Problem is Recognizable but Not Decidable
L12: Universal Turing Machines; The Halting Problem is Recognizable but Not Decidable
Introduction to language ATM, the halting problem; Universal Turing machines show that ATM is recognizable. UTMs define what a computer is in the way that TM...- published: 13 Dec 2012
- views: 5006
- author: UCDavis
