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Lambda definition of the successor function
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Foundations of mathematics
Computability theory
Lambda calculus
Simply typed lambda calculus
Church numeral
Lambda-definable function
2026-09-28
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The
successor function
is lambda-defined on
Church numerals
by
Succ
=
λn
.
λ
f
.
λ
x
.
f
(
n
f
x
)
,
(1)
because
Succ
c
n
≡
β
c
n
+
1
.
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(9)
Lambda-definable function
Church numeral
Simply typed lambda calculus
Lambda calculus
Computability theory
Foundations of mathematics
Area of mathematics
Mathematics
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Past exam of the mathematics course of the University of Cambridge
/
2022
/
iii
/
Paper 120
/
3
/
a
/
Solution
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