(Phys.org) -- As a testament to how differently things work in the quantum and classical regimes, physicists have found that a problem that is easily solved in a classical context cannot be solved at ...

Abstract: The purpose of this paper is to gain a better understanding of the structure of undecidable problems in automata theory by investigating the degree of unsolvability of these problems. This ...

Cognition can’t tell you whether cognition alone can solve every possible problem you’re ever likely to encounter. That’s my take-away from a great recent book I’m reading called “The Outer Limits of ...

This project presents an exploration into Alan Turing's Halting Problem, providing a solution using ordinal arithmetic and trigonometric recursion. It builds on the principles of Turing machines, ...

The Halting Problem plays an important role in the modern understanding of computation. In 1936, Alan Turing famously proved that the Halting Problem is formally ‘undecidable’. It provided a concrete ...

The halting problem states that there is no universal algorithm capable of determining whether every possible computer program will eventually stop or continue running forever. Alan Turing proved this ...