otsustatavaks

otsustatavaks is an Estonian word that translates to "decidable" in English. It is primarily used in the context of logic and computer science.

In logic, a proposition or statement is considered decidable if there exists an algorithm that can determine, in a finite amount of time, whether the statement is true or false. This means that for any given instance of the statement, the algorithm will always halt and produce the correct answer. The concept of decidability is fundamental to the study of computability and the limits of what can be solved by algorithms.

In computer science, decidability is closely related to the concept of a solvable problem. A problem is decidable if there is an algorithm that can solve all instances of that problem. Conversely, an undecidable problem is one for which no such algorithm exists. Famous examples of undecidable problems include the Halting Problem, which asks whether a given program will eventually halt or run forever.

The field of computability theory explores the boundaries of what can be computed and the properties of decidable and undecidable problems. Understanding decidability is crucial for designing efficient algorithms and for recognizing the inherent limitations of computation.