skip to main content
article
Free Access

On the Structure of Polynomial Time Reducibility

Published:01 January 1975Publication History
First page image

References

  1. 1 Axw, POn a subrecursive hierarchy and primitive recurslve degrees Trans. AMS 92 (1959), 85-105Google ScholarGoogle Scholar
  2. 2 BORODIN, A, CONSTABLE, R L, ~_ND HOPCROFT, J E Dense and nondense famihes of complexlty classes IEEE Conf Record Tenth Annual Syrup on Swltchang and Automata Theory, 1969, pp. 7-19Google ScholarGoogle Scholar
  3. 3 COOK, S A. The complexity of theorem proving procedures. Proc Third Annual ACM Syrup on Theory of Computing, 1971, pp 151-158 Google ScholarGoogle Scholar
  4. 4 Fr~I~:DB}~RG, It M Two recurs~vely enumerable sets of incomparable degrees of unsolvablhty. Proc Nat Acad Scz U S A. $3 (1957), 236-238Google ScholarGoogle Scholar
  5. 5 GrtZEGORCZYK, A. Some Classes of Rect~rswe Fancl~ons Rozprawy Matematyczhe, Warsaw, 1953Google ScholarGoogle Scholar
  6. 6 KARP, R M Reducibility among combinatorial problems In Complexity of Computer Computatwns, R. E Mtller and J. W Thatcher, Eds., Plenum, New York, 1972, pp. 85-103.Google ScholarGoogle Scholar
  7. 7 K~aP, R M Private commumcat~on.Google ScholarGoogle Scholar
  8. 8 KLEENE, S C , AND POST, E L. The uppersem~-latUce of degrees of unsolvabihty Ann. Math., Ser. 2, 59 (1954), 379-407Google ScholarGoogle Scholar
  9. 9 LADSEa, R E, LYNCH, N A, ~NI) SELMAN, A. Comparison of polynomial-t~me reducibilities. Proc S~xth Annual ACM Syrup on Theory of Computing, 1974, pp 110-121 Google ScholarGoogle Scholar
  10. 10 LYNCr~, N A. Relat,vizatlon of the theory of computational complexity Tech Rep. TR-99, Project MAC, Ph D. Th, M I.T , Cambridge, Mass., 1972. Google ScholarGoogle Scholar
  11. 11 MACUTEY, M. Classification of computable functions by primitive reeurs~ve classes Proc Third Annual ACM Syrup on Theory of Computing, 1971, pp. 251-257 Google ScholarGoogle Scholar
  12. 12 M~CHTEY, M Augmented loop languages and classes of computable functions J Comput. Sys~ Sc~. 6, 6 (1972), 603-624Google ScholarGoogle Scholar
  13. 13 MACHTEY, M The honest subrecurslve classes are a lattice. I~form and Contr. 24, 3 (1974), 247-263.Google ScholarGoogle Scholar
  14. 14 MACHT}.Y, M On the density of honest subrecurstve classes. Tech Rep. CSD TR 92, Comput. Sc~. Dep, Purdue U., Lafayette, Ind, 1973Google ScholarGoogle Scholar
  15. 15 MEYER, A R , AND R~TCHIL, D M A classification of the recursLve functmns Z Math Log~k Grul~dlagen Math 18 (1972), 71-82Google ScholarGoogle Scholar
  16. 16 MEYER, A R Private commumcatmnGoogle ScholarGoogle Scholar
  17. 17 MUCHNIK, A A On the unsolvabillty of the problem of reducibfilty m the theory of algorithms. Doklady Akadcm~ Navk SSSR, n s , 108 (1956), 194-197Google ScholarGoogle Scholar
  18. 18 PosT, E. L Recurslvely enumerable sets of posttlve integers and their decision problems. bull. AMS 50 (1944), 284-316Google ScholarGoogle Scholar
  19. 19 Pi~ iTT, V Every prime has a succinct certificate (In preparation )Google ScholarGoogle Scholar
  20. 20 RITCHIE, R W Classes of predictably computable functions Trans AMS 106 (1963), 139-173.Google ScholarGoogle Scholar
  21. 21 RoGrms Ji~, H Theory of Recurszve Funchons a~d Effective Computab~.hty McGraw-Hill, New York, 1967Google ScholarGoogle Scholar
  22. 22 Sr.TnI, R Complete register allocation problems Proc Fifth Annual ACM Syrup on Theory of Computing, 1973, pp 183-195 Google ScholarGoogle Scholar
  23. 23 STOCKMEYER, L J Planar 3-colorabihty is polynomial complete. SIGACT News 5, 3 (1973), 19-25 Google ScholarGoogle Scholar
  24. 24 STOCKMEYER, L. J , AND MEYER, A R Word problems requiring exponential ttme preliminary report Proc Fifth Annual ACM Syrup on Theory of Computing, 1973, pp 1-9 Google ScholarGoogle Scholar
  25. 25 ULL~t tN, J D Polynomial complete scheduling problems ACM Operating Syst Reo 7, 4 (1973), Fourth Symposium on Operating System Principles, 96-101 Google ScholarGoogle Scholar

Index Terms

  1. On the Structure of Polynomial Time Reducibility

      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 22, Issue 1
        Jan. 1975
        172 pages
        ISSN:0004-5411
        EISSN:1557-735X
        DOI:10.1145/321864
        Issue’s Table of Contents

        Copyright © 1975 ACM

        Publisher

        Association for Computing Machinery

        New York, NY, United States

        Publication History

        • Published: 1 January 1975
        Published in jacm Volume 22, Issue 1

        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