Megoldhatóe

Megoldhatóe is a term that appears in some Hungarian-language discussions to describe the solvability of a problem in the formal sense of decidability. The base adjective megoldható means solvable, and the suffix -e can be used to form a evaluative or interrogative-sounding noun or adjective, producing a coined expression that is not part of standard mathematical terminology. Its use is informal and regional, not widely standardized.

Definition: In this article, megoldhatóe denotes the existence of a finite algorithm that, for every valid input, halts and outputs the correct yes/no answer. In other words, a problem is megoldhatóe if it is decidable (computable). The term does not imply any particular time or resource bound; it concerns merely the existence of a terminating decision procedure.

Examples: The halting problem is not megoldhatóe; it is undecidable. The primality test—deciding whether a given number is prime—is megoldhatóe, and modern algorithms even solve it in polynomial time. The satisfiability problem (SAT) is megoldhatóe because a decision procedure exists, although it is NP-complete and can be expensive in practice. Undecidable problems in this sense include certain questions about arbitrary algorithms or Turing machines.

Relation to standard terms: Most mathematicians and computer scientists use decidable or computable to express this property. Megoldhatóe functions as a regional or illustrative synonym but is not a widely accepted formal term. It may be encountered in informal discussions or pedagogical contexts to convey the idea of solvability in principle.

See also: decidability, computability, algorithm, Turing machine, complexity class.