A construction for recursive linear orderings
Journal of Symbolic Logic 56 (2):673-683 (1991)
| Abstract | We re-express a previous general result in a way which seems easier to remember, using the terminology of infinite games. We show how this can be applied to construct recursive linear orderings, showing, for example, that if there is a ▵ 0 2β + 1 linear ordering of type τ, then there is a recursive ordering of type ω β · τ | |||||||||
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Shih-Chao Liu (1962). Recursive Linear Orderings and Hyperarithmetical Functions. Notre Dame Journal of Formal Logic 3 (3):129-132.
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Juha Oikkonen (1992). A Recursion Principle for Linear Orderings. Journal of Symbolic Logic 57 (1):82-96.
Antonio Montalbán (2005). Up to Equimorphism, Hyperarithmetic Is Recursive. Journal of Symbolic Logic 70 (2):360 - 378.
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