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 ...

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 ...

Are all problems in mathematics solved? The answer is no. There are several that remain unproven, even with most mathematicians and computer scientists having a common idea about it. Time complexity, ...