What does undecidable mean in theory of computation?
A problem is undecidable if there is no Turing machine which will always halt in finite amount of time to give answer as 'yes' or 'no'.
An undecidable problem has no algorithm to determine the answer for a given input..
What is an example of an undecidable algorithm?
The classic example of an undecidable problem is the halting problem, created by Alan Turing in 1936.
The halting problem asks that if a computer is given a random program, can an algorithm ever be written that will answer the question, will this program ever stop running?, for all programs?.
What is the difference between unsolvable and undecidable?
An unsolvable problem is one for which no algorithm can ever be written to find the solution.
An undecidable problem is one for which no algorithm can ever be written that will always give a correct true/false decision for every input value..
What is the Undecidability principle?
The undecidability of a problem means that an algorithm is impossible in principle — not only that no algorithm is presently known.
The most common among such formalizations is a Turing machine..
What is undecidable computational complexity?
In computability theory and computational complexity theory, an undecidable problem is a decision problem for which it is proved to be impossible to construct an algorithm that always leads to a correct yes-or-no answer..
What is undecidable problem in theory of computation?
An undecidable problem is one that should give a "yes" or "no" answer, but yet no algorithm exists that can answer correctly on all inputs..
What is undecidable theory of computation?
Undecidability: The Realm of Unanswered Questions
In other words, an undecidable problem is one where there is no systematic procedure or algorithm that can determine whether a given instance belongs to the problem's set or not.
The existence of undecidable problems signifies the inherent limits of computation..
What makes a language undecidable?
A language is undecidable if there is no Turing machine that decides it..
What makes a system undecidable?
In computability theory, an undecidable problem is a type of computational problem that requires a yes/no answer, but where there cannot possibly be any computer program that always gives the correct answer; that is, any possible program would sometimes give the wrong answer or run forever without giving any answer..
Which language in theory of computation is undecidable?
The language Language ACFG is Undecidable Language.
Note this is the only undecidable language.
This means that there exists no Algorithm that can determine if a given Algorithm M can accept or not a given string w in finite time..
- An unsolvable problem is one for which no algorithm can ever be written to find the solution.
An undecidable problem is one for which no algorithm can ever be written that will always give a correct true/false decision for every input value. - Definition: A decision problem is a problem that requires a yes or no answer.
Definition: A decision problem that admits no algorithmic solution is said to be undecidable.
No undecidable problem can ever be solved by a computer or computer program of any kind. - In the context of computability theory, there is no difference between a non-computable set and an undecidable set.
The term "undecidable" is also used in logic to refer to a statement that is not provable or disprovable from a particular theory. - To prove that a given language is undecidable: Construct a (mapping) reduction from another language already known to be undecidable to the given language.
- unsolvable algorithmic problem is the halting problem, which states that no program can be written that can predict whether or not any other program halts after a finite number of steps.
The unsolvability of the halting problem has immediate practical bearing on software development.
