Examples of 'primitive recursive' in a sentence
Meaning of "primitive recursive"
This phrase pertains to a mathematical concept and refers to a type of computable function that can be defined using a combination of basic operations and recursion. It implies a specific computational method used in theoretical computer science
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- Of a function, capable of being constructed from the zero function, successor function, and projection functions, by a finite number of applications of composition and recursion.
How to use "primitive recursive" in a sentence
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primitive recursive
Exponentiation and primality testing are primitive recursive.
Contains all primitive recursive functions.
Primitive recursive fuctions.
A pairing function is a primitive recursive bijection.
Every primitive recursive function is a total recursive function.
Without minimisation is the class of primitive recursive functions.
Primitive recursive functions.
In this setting a term is a primitive recursive function of zero or more variables.
Most of the functions normally studied in number theory are primitive recursive.
Let fn denote the unary primitive recursive function given by this definition.
We also study characterizations of elementary time and primitive recursive time.
The set of primitive recursive functions is known as PR in computational complexity theory.
Some forms of mutual recursion also define primitive recursive functions.
However, all primitive recursive functions halt.
This argument provides a total computable function that is not primitive recursive.
See also
The set S is the range of a primitive recursive function or empty.
Some additional forms of recursion also define functions that are in fact primitive recursive.
Also semicomputable function ; primitive recursive function ; partial recursive function.
The diagonal lemma applies to theories capable of representing all primitive recursive functions.
Each primitive recursive function is LOOP-computable and vice versa.
It allows a more natural style of expressing computation than simply using primitive recursive functions.
Most notably, there are primitive recursive problems that are not in ELEMENTARY.
However a diagonal argument will show that the function of two arguments is not primitive recursive.
He gave the first primitive recursive upper bound to van der Waerden 's numbers VC, N.
Most number-theoretic functions definable using recursion on a single variable are primitive recursive.
Primitive recursive arithmetic ( PRA ) is a quantifier-free formalization of the natural numbers.
The Paris-Harrington theorem involves a total recursive function that is not primitive recursive.
PRA, primitive recursive arithmetic.
The mathematical theory often associated with finitism is Thoralf Skolem 's primitive recursive arithmetic.
Primitive recursive arithmetic was first proposed by Thoralf Skolem in 1923.
The Paris - Harrington theorem involves a total recursive function that is not primitive recursive.
Similarly, the U function is primitive recursive.
Consequently, all predicates definable by a bounded formula are Kalmár elementary, context-sensitive, and primitive recursive.
Course-of-values recursion defines primitive recursive functions.
In the late 19th century, Leopold Kronecker formulated notions of computability, defining primitive recursive functions.
For example, addition, division, factorial, exponential and the " n " th prime are all primitive recursive.
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Examples of using Primitive
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He will transform this primitive being into a disciple
A primitive gaming device used in his time
Parental love too is a primitive animal instinct
Examples of using Recursive
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A recursive function is one which calls itself
Friendship is also recursive within his songs
That recursive nature is the infinite game
