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Universal functions and unbounded branching trees. (English. Russian original) Zbl 1485.03181

Algebra Logic 57, No. 4, 309-319 (2018); translation from Algebra Logika 57, No. 4, 476-491 (2018).
Summary: It is proved that a universal \({\Sigma}\)-function exists in a hereditarily finite superstructure over an unbounded branching tree of finite height.

MSC:

03D60 Computability and recursion theory on ordinals, admissible sets, etc.
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