The homogeneity conjecture
We show that, for any function f in which Kleene's O is computable, the ordering of Turning degrees (i.e., degrees of difficulty of computation of functions) is not isomorphic to the ordering of degrees of functions from which f is computable. This refutes a well-known conjecture of H. Rogers, Jr.,...
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| Veröffentlicht in: | Proc Natl Acad Sci U S A |
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| 1. Verfasser: | |
| Format: | Artigo |
| Sprache: | Inglês |
| Veröffentlicht: |
National Academy of Sciences
1979
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| Schlagworte: | |
| Online-Zugang: | https://ncbi.nlm.nih.govhttps://pmc.ncbi.nlm.nih.gov/articles/PMC411543/ https://ncbi.nlm.nih.govhttps://pubmed.ncbi.nlm.nih.gov/16592707/ https://ncbi.nlm.nih.govhttps://doi.org/10.1073/pnas.76.9.4218 |
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