- 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...
- of
com****bility that can be
imagined can
compute only
functions that are
com****ble in the
above sense.
Before the
precise definition of
com****ble functions...
- undecidable) if it is not
com****ble. A
subset S {\displaystyle S} of the
natural numbers is
com****ble if
there exists a
total com****ble function f {\displaystyle...
- the
recursive numbers,
effective numbers,
com****ble reals, or
recursive reals. The
concept of a
com****ble real
number was
introduced by Émile Borel...
-
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...
- 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...
-
Computing is any goal-oriented
activity requiring,
benefiting from, or
creating computing machinery. It
includes the
study and
experimentation of algorithmic...
- 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...
-
com****bility theory, a
function is
called limit com****ble if it is the
limit of a
uniformly com****ble sequence of functions. The
terms com****ble in...
- Enumerability: The set S is the
range of a
partial com****ble function. The set S is the
range of a
total com****ble function, or empty. If S is infinite, the...
