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Titlebook: Algorithms for Constructing Computably Enumerable Sets; Kenneth J. Supowit Textbook 2023 The Editor(s) (if applicable) and The Author(s),

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https://doi.org/10.1007/978-3-8349-8004-5The Kleene-Post construction of Chap. . is enhanced with the idea of priorities introduced in Chap. ., along with a key new idea: injury.
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https://doi.org/10.1007/978-3-8349-8004-5Suppose that we are given a c.e.n. set ., and we wish to construct a c.e. set . having certain properties, including .. Permitting, introduced here, is a way to do this.
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https://doi.org/10.1007/978-3-8349-8004-5Coping with infinite injury is a subtle and beautiful topic. The reader should study this short introductory chapter now, and then again after studying Chap. ..
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https://doi.org/10.1007/978-3-642-48568-8The priority tree, which we call a “tree of guesses,” is introduced, and used for a construction involving infinite injury. The associated concept of “.-believability” is employed.
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Technische Physik in EinzeldarstellungenIn Chaps. 11 and 12, the branches emanating from a tree node correspond to guesses about the given set .. In this chapter and in Chap. 14, they correspond to guesses about the construction. Also, presented here are a few other innovations, including the “joint custody” technique.
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