decidable set
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Decidable — The word decidable may refer to: Decidable language Decidability (logic) for the equivalent in mathematical logic Gödel s incompleteness theorem, a theorem on the indecidability of languages consisting of true statements in mathematical logic.… … Wikipedia
Decidable sublanguages of set theory — In mathematical logic, various sublanguages of set theory are decidable.[1][2] These include: Sets with Monotone, Additive, and Multiplicative Functions.[3] Sets with restricted quantifiers.[4] References ^ Cantone, D., E. G … Wikipedia
decidable — adjective a) capable of being decided. It is easy to show that the set of even numbers is decidable by creating the relevant Turing machine. b) describing a set for which there exists an algorithm that will determine whether any element is or is… … Wiktionary
Recursive set — In computability theory, a set of natural numbers is called recursive, computable or decidable if there is an algorithm which terminates after a finite amount of time and correctly decides whether or not a given number belongs to the set. A more… … Wikipedia
semi-decidable — adjective Of a set, such that there is a deterministic algorithm such that (a) if an element is a member of the set, the algorithm halts with the result positive , and (b) if an element is not a member of the set, (i) the algorithm does not halt … Wiktionary
Recursive languages and sets — This article is a temporary experiment to see whether it is feasible and desirable to merge the articles Recursive set, Recursive language, Decidable language, Decidable problem and Undecidable problem. Input on how best to do this is very much… … Wikipedia
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. Logical systems such as propositional logic are decidable if membership in their… … Wikipedia
Enumeration — In mathematics and theoretical computer science, the broadest and most abstract definition of an enumeration of a set is an exact listing of all of its elements (perhaps with repetition). The restrictions imposed on the type of list used depend… … Wikipedia
Outline of logic — The following outline is provided as an overview of and topical guide to logic: Logic – formal science of using reason, considered a branch of both philosophy and mathematics. Logic investigates and classifies the structure of statements and… … Wikipedia
Formal system — In formal logic, a formal system (also called a logical system,Audi, Robert (Editor). The Cambridge Dictionary of Philosophy . Second edition, Cambridge University Press, 1999. ISBN 978 0521631365 (hardcover) and ISBN 978 0521637220 (paperback).] … Wikipedia
Craig's theorem — In mathematical logic, Craig s theorem states that any recursively enumerable set of well formed formulas of a first order language is (primitively) recursively axiomatizable. This result is not related to the well known Craig interpolation… … Wikipedia
