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A note on degrees of context-sensitivity

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Summary

Further insight into the relation: complexity of general context-sensitivity versus complexity of weak-context-sensitivity, is offered by the following result:

The structure of deterministic 3-degrees of context-sensitivity is complex enough to allow an isomorphic embedding of any countable partial ordering.

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References

  1. Rogers, H.: Theory of recursive functions and effective computability. McGraw-Hill Series in Higher Mathematics. New York: McGraw-Hill 1967

    Google Scholar 

  2. Sacks, G. E.: On suborderings of degrees of recursive unsolvability. Zeitschrift für mathematische Logik und Grundlagen der Mathematik 7, 46–56 (1961)

    Google Scholar 

  3. Sacks, G. E.: On the degrees less than o′. Annals of Mathematics 77, 211–231 (1963)

    Google Scholar 

  4. Friedberg, R. M.: Two recursively enumerable sets of incomparable degrees of unsolvability (solution of Post's problem 1944). Proc. National Academy of Sciences 43, 236–238 (1957)

    Google Scholar 

  5. Mostowski, A.: Über gewisse universelle Relationen. Ann. Soc. Polon. Math. 17, 117–118 (1938)

    Google Scholar 

  6. Schuler, P. F.: Weakly-context-sensitive languages as model for programming languages. Acta Informatica 3, 155–170 (1974)

    Google Scholar 

  7. Schuler, P. F.: Weakly-context-sensitive analysis of the context-sensitive. Acta Informatica 4, 359–371 (1975)

    Google Scholar 

  8. Sacks, G. E.: Degrees of unsolvability. Annals of Mathematics Studies No. 55, Princeton University. Princeton (N.J.): Press 1963

    Google Scholar 

  9. Ladner, R. E.: On the structure of polynomial time reducibility. J. ACM 22, 155–171 (1975)

    Google Scholar 

  10. Machtey, M.: Augmented loop languages and classes of computable functions. J. Computer and System Sciences 6, 603–624 (1972)

    Google Scholar 

  11. Mehlhorn, K.: Polynomial and abstract subrecursive classes. Cornell University, Ithaca (N.Y.), Ph.D. Thesis, 1974

    Google Scholar 

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Schuler, P.F. A note on degrees of context-sensitivity. Acta Informatica 5, 387–394 (1975). https://doi.org/10.1007/BF00264568

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  • DOI: https://doi.org/10.1007/BF00264568

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