enumerable languages is called RE. There are three equivalent definitions of a recursively enumerable language: A recursively enumerable language is a recursively...
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theory, a set S of natural numbers is called computably enumerable (c.e.), recursively enumerable (r.e.), semidecidable, partially decidable, listable,...
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recursively enumerable, but not recursive? And, furthermore, are there languages which are not even recursively enumerable? The halting problem is one of...
21 KB (3,293 words) - 20:34, 1 June 2025
Computable set (redirect from Recursively definable)
function, or the empty set. Computably enumerable Decidability (logic) Recursively enumerable language Recursive language Recursion That is, under the Set-theoretic...
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class RP. This type of language was not defined in the Chomsky hierarchy. All recursive languages are also recursively enumerable. All regular, context-free...
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Turing degree (redirect from Recursively enumerable Turing degree)
the language ⟨ ≤, = ⟩. A degree is called recursively enumerable (r.e.) or computably enumerable (c.e.) if it contains a recursively enumerable set....
24 KB (3,130 words) - 01:59, 26 September 2024
Chomsky hierarchy (redirect from Hierarchy of Language Classes)
context-free language is context-sensitive, every context-sensitive language is recursive and every recursive language is recursively enumerable. These are...
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grammar Prefix grammar Pumping lemma Recursively enumerable language Regular expression Regular grammar Regular language S-attributed grammar Star height...
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Unrestricted grammar (category Formal languages)
Recursively enumerable languages are closed under Kleene star, concatenation, union, and intersection, but not under set difference; see Recursively enumerable...
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Recursion (redirect from Recursively)
reducible to non-recursively defined values: in this case F(0) = 0 and F(1) = 1. Applying the standard technique of proof by cases to recursively defined sets...
31 KB (3,669 words) - 14:56, 18 July 2025
context free languages can be any recursively enumerable language. The quotient of two recursively enumerable languages is recursively enumerable. These closure...
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computable. The set being enumerated is then called recursively enumerable (or computably enumerable in more contemporary language), referring to the use...
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Presentation of a group (redirect from Recursively enumerated group)
call a subset U of FS recursive (respectively recursively enumerable) if f(U) is recursive (respectively recursively enumerable). If S is indexed as above...
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{\displaystyle \{s_{1},...,s_{n-1}\}} . It is shown that a class of recursively enumerable languages is learnable in the limit if it has finite elasticity. A bound...
21 KB (2,594 words) - 01:34, 28 May 2025
Hilbert's tenth problem (category CS1 Russian-language sources (ru))
making the notion of recursive enumerability perfectly rigorous. It is evident that Diophantine sets are recursively enumerable (also known as semi-decidable)...
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if and only if the word w is in the language. The term enumerable has the same etymology as in computably enumerable sets of natural numbers. The following...
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context-free languages and the recursively enumerable languages, and other families of formal languages studied in the scientific literature. A formal language is...
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Turing machine (category Formal languages)
alphabet. A set of strings which can be enumerated in this manner is called a recursively enumerable language. The Turing machine can equivalently be...
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Kleene's recursion theorem Recursively enumerable set Recursively enumerable language Decidable language Undecidable language Rice's theorem Post's theorem...
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Peano arithmetic) is also recursively enumerable, as one can enumerate all the proofs of the theory. While all primitive recursive functions are provably...
40 KB (7,348 words) - 09:34, 30 July 2025
its set of theorems is recursively enumerable. This means that there is a computer program that, in principle, could enumerate all the theorems of the...
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recognizable languages are also recursively enumerable. Proof A Turing Recognizable language can be Enumerated by an Enumerator Consider a Turing Machine M...
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Computability theory (category Articles containing German-language text)
computable function and computably enumerable (c.e.) set instead of partial recursive function and recursively enumerable (r.e.) set. Not all researchers...
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computing – Recursive descent parser – Recursion (computer science) – Recursive set – Recursively enumerable language – Recursively enumerable set – Reference...
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recursion tree recursive (computer science) recursive data structure recursive doubling recursive language recursively enumerable language recursively solvable...
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Undecidable problem (redirect from Recursively undecidable)
partially decidable, semi-decidable, solvable, or provable if A is a recursively enumerable set. In computability theory, the halting problem is a decision...
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Primitive recursive function Recursion (computer science) Recursive language Recursive set Recursively enumerable language Recursively enumerable set Reduction...
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machine can calculate any recursive function, decide any recursive language, and accept any recursively enumerable language. According to the Church–Turing...
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Many-one reduction (section Formal languages)
simply m-complete, iff B {\displaystyle B} is recursively enumerable and every recursively enumerable set A {\displaystyle A} is m-reducible to B {\displaystyle...
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automaton Chomsky hierarchy Context-sensitive language, context-sensitive grammar Recursively enumerable language Register machine Stack machine Petri net...
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