Definition
decidability
noun
- the quality or state of being decidable; the property of a problem or proposition that can be determined to be true or false by a finite algorithmic procedure.
Usage: formal; logic and computer science
Examples
- The decidability of a mathematical problem determines whether an algorithm can solve it in finite time.
- In formal logic, decidability is a key property that separates tractable from intractable problems.
- Computer scientists study the decidability of various computational problems to understand their complexity.
- The decidability of first-order logic remains an important topic in mathematical logic.
- Not all mathematical questions have decidability; some are fundamentally undecidable.