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  1. complexity theory - P, NP and specialised Turing Machines - Computer ...

    Feb 8, 2013 · NP - the class of problems which can be verified in polynomial time using a Standard Turing Machine NP-complete - the hardest problems which are still in NP, which all NP problems can …

  2. Why is the halting problem unsolvable by a turing machine?

    According to the Church–Turing thesis, every machine can be simulated by a Turing machine. So DNA computers, quantum computers and the like will not help. All they can do (especially the latter) is to …

  3. Examples of processes / problems that cannot be tackled by Turing ...

    Feb 25, 2015 · 1 I know that there are problems that cannot be solved by any algorithm, such as the Halting problem. I also know that some processes cannot be even adequately approximated by any …

  4. complexity theory - P, NP Problem and Turing Machines - Computer ...

    Jun 16, 2018 · My first question here, I think this will be an easy one. As for definition: NP: NP is the set of decision problems solvable in polynomial time by a theoretical non-deterministic Turing machine. ...

  5. computability - Why is the Turing machine considered effective ...

    May 22, 2024 · An machine that can become infinite like a Turing machine can match the mathematics of reals, integers, and a TM exists for addition. This is just one demonstration on why abstract …

  6. undecidability - Decidability of Turing machines and misconceptions …

    Jan 6, 2021 · In an online discussion on Turing machines and decidability recently, I blatantly theorized that any problem about a specific single Turing machine must be decidable, the question of …

  7. Why is a quantum computer not capable of solving more problems …

    Jul 29, 2015 · The physical thesis is rather stronger and states, as you say, that any physically realizable computing system can be simulated by a Turing machine. Church and Turing just said that, …

  8. Why, really, is the Halting Problem so important?

    Nov 9, 2014 · I don't understand why the Halting Problem is so often used to dismiss the possibility of determining whether a program halts. The Wikipedia article correctly explains that a deterministic …

  9. Is a Turing Machine "by definition" the most powerful machine?

    Dec 1, 2016 · 61 I agree that a Turing Machine can do "all possible mathematical problems". But that is because it is just a machine representation of an algorithm: first do this, then do that, finally output …

  10. Can Quantum Computing solve Problems not even a Turing Machine …

    Jun 3, 2016 · In particular, everything that can be computed on a quantum Turing machine can also be computed on a classical Turing machine. The main advantage of quantum Turing machines is that …