
Degrees of unsolvability
Degrees of unsolvability refer to classifications of problems based on how difficult they are to solve using algorithms. Some problems are solvable with a computer program, while others are fundamentally beyond algorithmic solutions. Among those unsolvable problems, degrees of unsolvability organize them into levels, showing how their difficulty compares. For example, some problems are equivalent in unsolvability, meaning if you could solve one, you'd solve all at that level. This hierarchy helps computer scientists understand the limits of computation and why certain problems cannot be automated or resolved by algorithms.