Which of the following is not primitive recursive but partially recursive?
Which of the following is not primitive recursive but partially recursive?
The correct option is C Ackermann's function
Ackermann's function
is not primitive recursive but partially recursive.
The primitive recursive functions are defined using
primitive recursion and composition as central operations and are a strict
subset of the recursive functions.
In computability theory, primitive recursive functions
are a class of functions which form an important building block on the way to a
full formalization of computability. These functions are also important in
proof theory.
Ackermann's functionis a computable function that grows faster than any primitive
recursive function. All primitive recursive functions are total and computable, but the Ackermann's function illustrates that not all total
computable functions are
primitive recursive.
Ackermann's function is not primitive recursive but partially recursive.
The primitive recursive functions are defined using primitive recursion and composition as central operations and are a strict subset of the recursive functions.
In computability theory, primitive recursive functions are a class of functions which form an important building block on the way to a full formalization of computability. These functions are also important in proof theory.
Ackermann's functionis a computable function that grows faster than any primitive recursive function. All primitive recursive functions are total and computable, but the Ackermann's function illustrates that not all total computable functions are primitive recursive.
