skip to main content
article
Free Access

Recursive Properties of Abstract Complexity Classes

Authors Info & Claims
Published:01 April 1972Publication History
First page image

References

  1. 1 BLUM, M. Machine independent theory of the complexity of recursive functions . J . ACM 14, 2 (April 1967), 322-336. Google ScholarGoogle Scholar
  2. 2 BORODIN, A. Complexity classes of recursive functions and the existence of complexity gaps. Conf. Record of ACM Syrup. on Theory of Computing, Marina del Rey, Calif., May 1969, pp. 67 78.Google ScholarGoogle Scholar
  3. 3 DAVIS, MARTIN. Computability and Unsolvability. McGraw-Hill, New York, 1958.Google ScholarGoogle Scholar
  4. 4 DEKKER, J. C. E., AND MYIfILL, J. Some theorems oil classes of recursively enmnerable sets. Tra~s. Amer. Math. Soc. 89 (Sept. 1958), 25-59.Google ScholarGoogle Scholar
  5. 5 HARTMANIS, J ., AND STEARNS, R .E . On the computational complexity of algorithms. Trans. Amer. Math. Soc. 117 (May 1965), 285 306.Google ScholarGoogle Scholar
  6. 6 LEWIS, F. I). Unsolvability considerations in computational complexity. Conf. Record of Second Annual ACM Syrup. on Theory of Computing, Northampton, Mass., May 1970, pp. 22-30. Google ScholarGoogle Scholar
  7. 7 MCCREIGHT, E. M., AND MEYER, A.R. Classes of computable functions defined by hounds on computation. Conf. Record of ACM Syrup. on Theory of Computing, Marina del Rey, Calif., May 1969, pp. 79-88. Google ScholarGoogle Scholar
  8. 8 POST, EMIL L. Recursively enumerable sets of positive integers and their decision problems. Bnll. Amer. Math. Soc. 50 (1944), 284-316.Google ScholarGoogle Scholar
  9. 9 RicE, H.G. Classes of recursively enumerable sets and their decision problems. Trans. Amer. Soc. 89 (March 1953), 25-59.Google ScholarGoogle Scholar
  10. 10 RICE, H. G. On completely recursively enumerable classes and their key arrays. J . Symbolic Logic 21, 3 (Sept. 1956), 304-341.Google ScholarGoogle Scholar
  11. 11 ROBERTSON, EDWARD L. Complexity classes of partial recursive functions. Conf. Record of Third Annual ACM Symp. on Theory of Computing, Shaker Heights, Ohio, May 1971, pp. 258-266. Google ScholarGoogle Scholar
  12. 12 RO(~ERS, H. G()del numberings of partial recursive functions. J. Symbolic Lo(lic 23, 3 (Sept. 1958), 331-341.Google ScholarGoogle Scholar
  13. 13 YOUNG, P .R . Toward a theory of enumerations. J. ACM 16, 2 (April 1969), 328-348. Google ScholarGoogle Scholar
  14. 14 YOUNG, P .R . A note OR dense and non-dense families of complexity classes. Tech. Rep. 40, Comput. Sci. I)ep., Purdue U., Lafayette, Ind., Aug. 1969.Google ScholarGoogle Scholar
  15. 15 McCREIGHT, E.M. Ph.D. thesis, Carnegie-Mellon U., Pittsburgh, Pa., 1969.Google ScholarGoogle Scholar

Index Terms

  1. Recursive Properties of Abstract Complexity Classes

        Recommendations

        Comments

        Login options

        Check if you have access through your login credentials or your institution to get full access on this article.

        Sign in

        Full Access

        • Published in

          cover image Journal of the ACM
          Journal of the ACM  Volume 19, Issue 2
          April 1972
          191 pages
          ISSN:0004-5411
          EISSN:1557-735X
          DOI:10.1145/321694
          Issue’s Table of Contents

          Copyright © 1972 ACM

          Publisher

          Association for Computing Machinery

          New York, NY, United States

          Publication History

          • Published: 1 April 1972
          Published in jacm Volume 19, Issue 2

          Permissions

          Request permissions about this article.

          Request Permissions

          Check for updates

          Qualifiers

          • article

        PDF Format

        View or Download as a PDF file.

        PDF

        eReader

        View online with eReader.

        eReader