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arity::noun | Spocien Dictionary
| Type | Words |
|---|---|
| Type of | number |
Examples of arity
arity
Each function symbol f of arity n is assigned an n-ary function on the domain.
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Each relation symbol R of arity n is assigned an n-ary relation on the domain.
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Thus a unary operation has arity one, and a binary operation has arity two.
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The number of arguments taken by each operation is called the arity of the operation.
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In the case of function and predicate symbols, a natural number arity is also assigned.
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The list order for the operations of a given arity is determined by the following two rules.
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In formal logic, this number is called the arity of the predicate.
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An atom can be regarded as a compound term with arity zero.
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This is defined analogously to complete Boolean algebras, but with sups and infs limited to countable arity.
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- The number of arguments that a function can take
- The number of arguments that a predicate takes. E.g. member(X,List) has arity 2. In documentation, the arity of a predicate is written as predicate/arity. E.g. member/2.
- Is the number of arguments of the function. If this function is absent in the standard C library, it should be written in C and added to the library file usrlib.a in the CompHEP working directory.
- The property of a relationship which enumerates how many entities are involved.
