Double Recursive Functions and Their Hierarchy
Received:March 31, 1991  
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Zheng Xizhong Dept. of Math.
Nanjing University 
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      This paper discusses the properties of double recursive functions which are defined by R.Peter in [3]. An equivalent characterization of double recursive functions is suggested, which is defined to be the class z = ∪n∈w zn of z-hierarchy. Then, a Grzegorczyk type hier-archy of double recursive functions is obtained by means of the results of [6]. Furthermore, the standard double recursion of R.Peter is reduced to a more simple scheme.
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