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  1. Reflection and forcing in E-recursion theory.Theodore A. Slaman - 1985 - Annals of Pure and Applied Logic 29 (1):79-106.
    E -recursive enumerability is compared via forcing to Σ 1 definability. It is shown that for every countable E -closed ordinal κ there is a set of reals, X, so that L κ [ X ] is the least E -closed structure over X.
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  • The limits of E-recursive enumerability.Gerald E. Sacks - 1986 - Annals of Pure and Applied Logic 31:87-120.
  • Power set recursion.Lawrence S. Moss - 1995 - Annals of Pure and Applied Logic 71 (2):247-306.
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  • Set recursion and Πhalf-logic.Jean-Yves Girard & Dag Normann - 1985 - Annals of Pure and Applied Logic 28 (3):255-286.