Examples of using Enumerable in English and their translations into Serbian
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Σ1 contains the recursively enumerable sets.
The once enumerable is now innumerable.
In a sense,these are the"hardest" recursively enumerable problems.
The term enumerable has the same etymology as in computably enumerable sets of natural numbers.
The class of all recursively enumerable languages is called RE.
The word enumerable is used because the following are equivalent for a nonempty subset B of the natural numbers.
Next or without type inference For Each item As type In enumerable' Do something with item.
They won enumerable victories, but no one remembers what they are because they were all fought for selfish ends.
If to speak about useful properties of castor oil,then here it is enumerable several highlights.
The word enumerable is used because the following are equivalent for a nonempty subset B of the natural numbers: B is the domain of a computable function.
All regular, context-free, context-sensitive andrecursive languages are recursively enumerable.
However, the set of primitive recursive functions is not the largest recursively enumerable subset of the set of all total recursive functions.
Equivalently, RE is the class of decision problems for which a Turing machine can list all the'yes' instances,one by one(this is what'enumerable' means).
A recursively enumerable language in mathematics, logic and computer science, is a type of formal language which is also called partially decidable or Turing-recognizable….
These hierarchy levels are defined inductively,Σn+1 contains just all sets which are recursively enumerable relative to Σn;
A recursively enumerable language is a formal language for which there exists a Turing machine(or other computable function) which will enumerate all valid strings of the language.
In the following i assumes sequential values of the first list,j sequential values of the second list: For Each item In enumerable' Do something with item.
A language is computably enumerable(synonyms:recursively enumerable, semidecidable) if there is a computable function f such that f(w) is defined if and only if the word w is in the language.
A universal Turing machine can calculate any recursive function, decide any recursive language, andaccept any recursively enumerable language.
Also, since all functions in these languages are total,algorithms for recursively enumerable sets cannot be written in these languages, in contrast with Turing machines.
More specifically, it is a machine(automaton) capable of enumerating some arbitrary subset of valid strings of an alphabet;these strings are part of a recursively enumerable set.
These hierarchy levels are defined inductively,Σn+1 contains just all sets which are recursively enumerable relative to Σn; Σ1 contains the recursively enumerable sets.
Every regular language is context-free, every context-free language is context-sensitive, every context-sensitive language is recursive andevery recursive language is recursively enumerable.
An important property of the primitive recursive functions is that they are a recursively enumerable subset of the set of all total recursive functions(which is not itself recursively enumerable).
A recursively enumerable language is a formal language for which there exists a Turing machine(or other computable function) that will halt and accept when presented with any string in the language as input but may either halt and reject or loop forever when presented with a string not in the language.
These researchers also use terminology such as partial computable function and computably enumerable(c.e.) set instead of partial recursive function and recursively enumerable(r.e.) set.
The natural examples of sets that are not computable, including many different sets that encode variants of the halting problem, have two properties in common:They are recursively enumerable, and Each can be translated into any other via a many-one reduction.
In computability theory and computational complexity theory,RE(recursively enumerable) is the class of decision problems for which a'yes' answer can be verified by a Turing machine in a finite amount of time.
A set A of natural numbers is called computable(synonyms: recursive, decidable) if there is a computable, total function f such that for any natural number n, f(n)= 1 if n is in A and f(n)= 0 if n is not in A. A set of natural numbers is called computably enumerable(synonyms:recursively enumerable, semidecidable) if there is a computable function f such that for each number n, f(n) is defined if and only if n is in the set.
Thus if this new model of computation consisted of a sequence M 1, M 2,…{\displaystyle M_{1}, M_{2},\ldots} of machines,there would be a recursively enumerable sequence T 1,… T 2,…{\displaystyle T_{1},\ldots T_{2},\ldots} of Turing machines that compute total functions and so that every total computable function is computable by one of the machines Ti.