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 ...

Abstract: Concurrent interprocedural program analysis is an undecidable problem. To analysis concurrent interprocedural program, we need understand why the problem is undecidable. [1] proofs the ...

The world of mathematics is full of unreachable corners, where unsolvable problems live. Now, yet another has been exposed. In 1900, the eminent mathematician David Hilbert announced a list of 23 key ...

A logical paradox at the heart of mathematics and computer science turns out to have implications for the real world, making a basic question about matter fundamentally unanswerable. In 1931, Austrian ...

Demonstrating the Halting Problem in C# The Halting Problem plays an important role in the modern understanding of computation. In 1936, Alan Turing famously proved that the Halting Problem is ...

Katie has a PhD in maths, specializing in the intersection of dynamical systems and number theory. She reports on topics from maths and history to society and animals. Katie has a PhD in maths, ...