no. 1
A model for barrecursion of higher types
Compositio Mathematica, Tome 23 (1971) no. 1, pp. 123-153. 
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     title = {A model for barrecursion of higher types},
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     pages = {123--153},
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     volume = {23},
     number = {1},
     year = {1971},
     mrnumber = {289257},
     zbl = {0212.01901},
     language = {en},
     url = {http://archive.numdam.org/item/CM_1971__23_1_123_0/}
}
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Scarpellini, B. A model for barrecursion of higher types. Compositio Mathematica, Tome 23 (1971) no. 1, pp. 123-153. http://archive.numdam.org/item/CM_1971__23_1_123_0/

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C. Kuratowski [2] Topologie, Vol. I. Warschau 1952. | MR | Zbl

J. Shoenfield [3] Mathematical Logic. Addison-Wesley, 1967. | MR | Zbl

C. Spector [4] Provably recursive functionals of analysis. Proceedings of the Symposia of pure mathematics, vol. 5, 1962, pg. 1-27. [5] Stanford report, vol. I, winter 1963-64. Mimeograped notes. | MR | Zbl