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 ...

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 ...

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, ...

In this work, we show that very natural, apparently simple problems in quantum measurement theory can be undecidable even if their classical analogues are decidable. Undecidability hence appears as a ...

Seventh Workshop on Resiliency in High Performance Computing with Clouds, Grids, and Clusters problems in presence of a general class of faults are undecidable, that is, no algorithms exist for ...

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