What does it mean for a problem to be undecidable?

What does it mean for a problem to be undecidable?

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.

How do you prove language Undecidability?

How can you prove a language is undecidable? To prove a language is undecidable, need to show there is no Turing Machine that can decide the language.

Why is the halting problem unsolvable?

Rice’s theorem generalizes the theorem that the halting problem is unsolvable. It states that for any non-trivial property, there is no general decision procedure that, for all programs, decides whether the partial function implemented by the input program has that property.

What do you mean by undecidability?

: not capable of being decided : not decidable …

How do you show a language is unrecognizable?

To prove that a given language is non-Turing-recognizable: Either do both of these: • Prove that its complement is Turing-recognizable. Prove that its complement is undecidable.

How do you know if its undecidable or decidable?

Explain the Decidable and undecidable problems

  1. Decidable Language. A language L is called decidable if there is a decider M such that L( M) = L.
  2. Undecidable Language. A decision problem P is undecidable if the language L of all yes instances to P is not decidable.
  3. Problem.
  4. Solution.
  5. The proof is by contradiction.

Can human solve the halting problem?

Originally Answered: Can human brain solve turing halting problem? No, your brain can’t solve the Halting Problem.

Can a quantum computer solve the halting problem?

No, quantum computers (as understood by mainstream scientists) cannot solve the halting problem. We can already simulate quantum circuits with normal computers; it just takes a really long time when you get a decent number of qubits involved. (Quantum computing provides exponential speedups for some problems.)