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More Lachlan Games

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Turing Computability

Part of the book series: Theory and Applications of Computability ((THEOAPPLCOM))

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Abstract

With the Kleene-Post [1954] paper on oracle constructions presented in Chapter 6, and the finite injury computable approximations to them in Friedberg [1957] and Muchnik [1956] presented in Chapter 7, constructions in computability entered a new and much more complicated phase in the 1960s. Shoenfield [1961] and independently Sacks [1963a, 1963c, and 1964a] invented the infinite injury method for constructing c.e. sets and degrees.

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Soare, R.I. (2016). More Lachlan Games. In: Turing Computability. Theory and Applications of Computability. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-31933-4_16

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  • DOI: https://doi.org/10.1007/978-3-642-31933-4_16

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  • Print ISBN: 978-3-642-31932-7

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