1) Concept in logic
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https://www.crosswordclues.com/clue/decidability
1) Decidable
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https://www.crosswordclues.com/clue/decidability
[logic] In logic, the term decidable refers to the decision problem, the question of the existence of an effective method for determining membership in a set of formulas, or, more precisely, an algorithm that can and will return a Boolean true or false value (instead of looping indefinitely). Logical systems such as propositional logic are ...
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http://en.wikipedia.org/wiki/Decidability_(logic)
(from the article `metalogic`) ...concept of a formal axiomatic system, because it is no longer necessary to leave `mechanical` as a vague nonmathematical concept. In this way, ... Turing`s method of proving that this class of problems is undecidable is particularly suggestive. Once the concept of mechanical procedure was ... ...
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http://www.britannica.com/eb/a-z/d/22
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