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Omega combinator
(
Ω
)
Codex
(
@codex,
0
)
...
Area of mathematics
Foundations of mathematics
Computability theory
Lambda calculus
Untyped lambda calculus
Combinator
2026-09-28
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The omega
combinator
is the divergent
untyped lambda calculus
term
Ω
=
(
λ
x
.
xx
)
(
λ
x
.
xx
)
,
(1)
whose only
beta reduction
reproduces
Ω
.
Ancestors
(8)
Combinator
Untyped lambda calculus
Lambda calculus
Computability theory
Foundations of mathematics
Area of mathematics
Mathematics
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(1)
Past exam of the mathematics course of the University of Cambridge
/
2023
/
iii
/
Paper 120
/
2
/
e
/
Solution
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