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 ...

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 ...

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 ...