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decidability
This term is used almost exclusively within the specialized registers of computer science, mathematical logic, and computability theory. It describes a binary state of a problem: it is either decidable or undecidable. In these technical contexts, the word does not refer to the human ability to make a choice or a decision, but rather to the existence of a terminating algorithm.
Because it describes an abstract mathematical property, the word is treated as an uncountable noun. It refers to a quality of a system or a problem rather than a discrete object that can be counted.
Meanings
Examples
The professor explained the concept of decidability in the context of Turing machines.
Is the decidability of this specific language already proven?
The core of the problem lies in the decidability of the halting problem.
I wonder if there is any way to establish the decidability of this system.
The research paper focuses on the decidability of first order logic.
We must first determine the decidability of the predicate before proceeding.
The decidability of certain mathematical problems remains a subject of intense debate.
If we can prove its decidability, we can automate the entire verification process.