- Turing-
com****ble and μ-recursive functions, and the
lambda calculus, all of
which have com****tionally
equivalent power.
Other forms of
com****bility are...
- com****tion that has ever been
imagined can
compute only
com****ble functions, and all
com****ble functions can be
computed by any of
several models of com****tion...
-
which is not
com****ble is
called noncom****ble or undecidable. A more
general class of sets than the
com****ble ones
consists of the
com****bly enumerable...
- the
recursive numbers,
effective numbers,
com****ble reals, or
recursive reals. The
concept of a
com****ble real
number was
introduced by Émile Borel...
-
Computing is any goal-oriented
activity requiring,
benefiting from, or
creating computing machinery. It
includes the
study and
experimentation of algorithmic...
-
specifically com****bility and set theory, an
ordinal α {\displaystyle \alpha } is said to be
com****ble or
recursive if
there is a
com****ble well-ordering...
- of
com****ble functions. It
states that a
function on the
natural numbers can be
calculated by an
effective method if and only if it is
com****ble by...
- Church–Turing thesis,
which states that any
function that is
com****ble by an
algorithm is a
com****ble function.
Although initially skeptical, by 1946 Gödel...
- upon below. Type 1
com****bility is the
naive form of
com****ble analysis in
which one
restricts the
inputs to a
machine to be
com****ble numbers instead...
- in his
seminal 1936 paper, On
Com****ble Numbers.
Turing proposed a
simple device that he
called "Universal
Computing machine" and that is now known...