Is the halting problem solvable?
Because the halting problem is not solvable on a Turing machine, it is not solvable on any computer, or by any algorithm, given the Church-Turing thesis.
What is the halting problem can it be solved by a computer and if so how?
Halting problem is perhaps the most well-known problem that has been proven to be undecidable; that is, there is no program that can solve the halting problem for general enough computer programs. It’s important to specify what kind of computer programs we’re talking about.
What is meant by halting problem in TOC?
The Halting Problem is the problem of deciding or concluding based on a given arbitrary computer program and its input, whether that program will stop executing or run-in an infinite loop for the given input.
Is the halting problem partially computable?
The halting problem is partially computable To show that a language S is partially computable, it suffices to produce a program that halts when its input is a member of S and loops forever when its input is not in S. The following program partially computes HALT. halts(p, x) Run program p on input x. (p, x) ∈ HALT.
Who proved the halting problem?
Jack Copeland (2004) attributes the introduction of the term halting problem to the work of Martin Davis in the 1950s.
What is halting problem in TOC?
The Halting Problem is the problem of deciding or concluding based on a given arbitrary computer program and its input, whether that program will stop executing or run-in an infinite loop for the given input. …
Is the halting problem NP complete?
There are decision problems that are NP-hard but not NP-complete such as the halting problem. It is also easy to see that the halting problem is not in NP since all problems in NP are decidable in a finite number of operations, but the halting problem, in general, is undecidable.
What is halting problem give an example?
There are many equivalent formulations of the halting problem; any set whose Turing degree equals that of the halting problem is such a formulation. Examples of such sets include: {i | program i eventually halts when run with input 0} {i | there is an input x such that program i eventually halts when run with input x}.
Is the halting problem in NP?
Will a program/algorithm ever halt?
Now, lets discuss Halting problem: The Halting problem – Given a program/algorithm will ever halt or not? Halting means that the program on certain input will accept it and halt or reject it and halt and it would never go into an infinite loop. Basically halting means terminating.
What did Turing prove about infinite loops?
Turing proved no algorithm exists that always correctly decides whether, for a given arbitrary program and input, the program halts when run with that input. The essence of Turing’s proof is that any such algorithm can be made to contradict itself and therefore cannot be correct. Some infinite loops can be quite useful.
What is the halting problem in programming?
Whenever people ask about the halting problem as it pertains to programming, people respond with “If you just add one loop, you’ve got the halting program and therefore you can’t automate task” Ma… Stack Overflow About Products For Teams Stack OverflowPublic questions & answers
What is halhalting problem with example?
Halting Problem. The halting problem is a decision problem in computability theory. It asks, given a computer program and an input, will the program terminate or will it run forever? For example, consider the following Python program: 1 2 3. x = input() while x: pass.