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Composition-only recursive function
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Primitive recursive function
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The functions generated from the initial functions using composition alone are exactly
f
(
x
)
=
c
or
f
(
x
)
=
x
i
+
c
(25)
for a constant
c
∈
N
. Structural induction proves necessity, and iterating the successor function on zero or a projection proves sufficiency.
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Primitive recursive function
Computability theory
Foundations of mathematics
Area of mathematics
Mathematics
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