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Total recursive function

Total recursive function

All those partial functions for which turing machine halts are called total recursive functions. 

From the definition of both it is clear that total recursive function is the subset of partial recursive function.

A total function is a subclass of partial function. 

A function is called total function if it is defined for all its arguments.

Let   f(a1,a2,....,an)   be a function and defined on function    g(b1,b2,....,bm), then   f  is a total function if every element of   f  is assigned to some unique element of function  g.


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