|
Definition of Undecidable
1. Adjective. (mathematics computing theory) Incapable of being algorithmically decided in finite time. For example, a set of strings is undecidable if it is impossible to program a computer (even one with infinite memory) to determine whether or not specified strings are included. ¹
2. Adjective. (mathematics) (''of a WFF'') logically independent from the axioms of a given theory; i.e., that it can ''never'' be either proved or disproved (i.e., have its negation proved) on the basis of the axioms of the given theory. (''Note:'' this latter definition is independent of any time bounds or computability issues, i.e., more Platonic.) ¹
¹ Source: wiktionary.com
Definition of Undecidable
1. decidable [adj] - See also: decidable