WebFeb 19, 2006 · Similar reasoning shows that no program that is substantially shorter than N bits long can solve the Turing halting problem for all programs up to N bits long. WebOct 20, 2024 · Fermat’s Last Theorem as a Halting Problem. Fermat’s Last Theorem states that for positive integers a, b, c and n, there are no values for n≥3 which satisfy the equation. a ^ n + b ^ n = c ^ n. This theorem was first proposed in 1637, but a proof eluded mathematicians for hundreds of years. It was finally solved in 1994, requiring the ...
Human Ingenuity vs. the Computer’s Halting Problem
WebThis work is licensed under a Creative Commons Attribution-NonCommercial 2.5 License. This means you're free to copy and share these comics (but not to sell them). More details.. WebAn algorithm is a solution to a problem if it correctly provides the appropriate yes/no answer to the problem, and is guaranteed to always run in a finite amount of time. A problem is decidable if it has a solution. If there is no algorithm that solves the problem in a finite amount of time, the problem is undecidable . Turing's Argument teamleider informatie analyse team
ELI5: The Halting Problem in Computer Science - Reddit
WebNov 11, 2024 · The halting problem is to determine, given an algorithm and input, if the algorithm will halt on that input. It's not to generally answer the question "do algorithms halt?" ... Why does the unsolvability of the Halting Problem give a negative solution to the decision problem? 1. WebMar 22, 2024 · A program may read a number, and then start counting from 1 until it reaches that number, at which point it stops. This program will halt rather quickly if you give it the input 23, it will halt after many years if you give it the input 23^23, and if you give it the input 0 it will simply run forever. WebJul 16, 2011 · 2 Answers Sorted by: 6 In theory, it is not equivalent to the halting problem because real computers have finite number of possible states (even though it's huge). Turing machines, which the halting problem applies to, have infinite storage. But, let's explore your idea further. teamleider hospice