What is undecidable problem how can it be solved?
What is undecidable problem how can it be solved?
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.
Are undecidable problems solvable?
There are some problems that a computer can never solve, even the world’s most powerful computer with infinite time: the undecidable problems. 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 problem in TOC?
The problems for which we can’t construct an algorithm that can answer the problem correctly in the infinite time are termed as Undecidable Problems in the theory of computation (TOC). A problem is undecidable if there is no Turing machine that will always halt an infinite amount of time to answer as ‘yes’ or ‘no’.
What do you understand by Undecidable problem prove that halting problem of Turing machine is undecidable?
The Halting Problem is Undecidable: Proof Since there are no assumptions about the type of inputs we expect, the input D to a program P could itself be a program. Compilers and editors both take programs as inputs.
What do you understand by Undecidable problem prove that halting problem of Turing Machine is undecidable?
What is unsolvable problem?
(definition) Definition: A computational problem that cannot be solved by a Turing machine. The associated function is called an uncomputable function. See also solvable, undecidable problem, intractable, halting problem.
Which problem is undecidable Mcq?
Undecidable Problems MCQ Question 1 Detailed Solution According to Rice’s theorem, emptiness problem of Turing machine is undecidable.
How does a Turing machine work?
A Turing machine is a mathematical model of computation that reads and writes symbols of a tape based on a table rules. Each Turing machine can be defined by a list of states and a list of transitions. Based on a start state (s0), the Turing machine works it’s way through all the states until it reaches a final state (sf).
Is the Turing machine a computer?
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. Despite the model’s simplicity, given any computer algorithm, a Turing machine capable of simulating that algorithm’s logic can be constructed.
What is Turing reduction?
Turing reduction. In computability theory, a Turing reduction from a problem A to a problem B, is a reduction which solves A, assuming B is already known (Rogers 1967, Soare 1987).
What is a Turing machine program?
The Turing machine’s program consists of a set of states. Such a program can process any number of different patterns on its input tape, with the option to accept or reject the input or to update cells on the tape. Variations on Turing machines include having more than one tape and a read/write head for each tape.
