Last Updated：2025/11/21
(logic) A branch of mathematical logic studying computable functions and Turing degrees, concerned with questions such as What does it mean for a function on the natural numbers to be computable?
and Can noncomputable functions be classified into a hierarchy based on their level of noncomputability?
.
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recursion theory
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Source Word
recursion theory
Noun
uncountable
(logic)
A
branch
of
mathematical
logic
studying
computable
functions
and
Turing
degrees,
concerned
with
questions
such
as
"What
does
it
mean
for
a
function
on
the
natural
numbers
to
be
computable?"
and
"Can
noncomputable
functions
be
classified
into
a
hierarchy
based
on
their
level
of
noncomputability?".
Japanese Meaning
数学的論理学の一分野で、計算可能な関数やチューリング度について研究する領域。自然数上の関数が計算可能であるとはどういう意味か、また非計算可能な関数がその非計算可能性の度合いに応じて階層化できるかどうかといった問いに取り組む。
Sense（1）
(logic)
A
branch
of
mathematical
logic
studying
computable
functions
and
Turing
degrees,
concerned
with
questions
such
as
"What
does
it
mean
for
a
function
on
the
natural
numbers
to
be
computable?"
and
"Can
noncomputable
functions
be
classified
into
a
hierarchy
based
on
their
level
of
noncomputability?".
