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Ordinal Hierarchies and Naming Complexity Classes
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Volume 20 ,  Issue 4  (October 1973) table of contents
Pages: 668 - 686  
Year of Publication: 1973
ISSN:0004-5411
Authors
Leonard Bass  Computer Science and Experimental Statistics Department, University of Rhode Island, Kingston, Rhode Island
Paul Young  Department of Electrical Engineering and Computer Sciences, University of California, Berkeley, CA and Purdue University, Lafayette, Indiana
Publisher
ACM  New York, NY, USA
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REFERENCES

Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.

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AXT, P. On a subrecursive hierarchy and primitive recursive degrees. Trans. Amer. Math. Soc. 92 (1959), 85-105.
 
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FEFERMAN, S. Classifications of recursive functions by means of hierarchies. Trans. Amer. Math. Soc. 104 (1962), 101-122.
 
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F~FERMAN, ~., AND SPECTOR, (~. Incompleteness along paths in progressions of theories. J. Symbolic Logic P7 (1962), 383-390.
 
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GRZEGOnCZYK, A. Some classes of recursive functions. Rozprany Mat. {Warsaw} (1953), 1-46.
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HARTMANIS, J., AND STEARNS, R.E. On the computational complexity of algorithms. Trans. Amer. Math. Soc. 117 (1965), 285-306.
 
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HELM, J., MEYER, A., AND YOUNG, P. On orders of enumerations and translations. Pacific J. Math. (to appear).
 
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HELM, J., MEYER A., AND YOUNG, P. Notes on difficulties of enumerations. Computer Sci. Dep. Rep. TR 61, Purude U., Lafayette, Ind., Jan. 1972, 1-16.
 
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KhEEN~., S. Extension of au effectively generated class of functions by enumeration. Colloq. Math. {Warsaw} 6 (1958), 67-78.
 
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KLEENE, S. On the forms of predicates in the theory of constructive ordinals, II. Amer. J. Math. 77 (1955), 405-428.
 
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KREISE~, G. Non-uniqueness results for transfinite progressions. OOR Tech. Rep. No. 4, Stanford U., Stanford, Calif., Feb. 1961; also, Bull. Acad. Polon. Sci. 8 (1960).
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MEYER, A., AND F~SCHER, P. Computational speed-up by effective operators. J. Symbolic Logic 87 (1972), 5568.
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ME~ER, A., AND MCCREIGHT, E. Properties of bounds on computation. Proc. Princeton Symp. on Information Sciences, 1969, pp. 154-156.
 
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MEYER, A., AND MOLL, 1~. Honest bounds for complexity classes of recursive functions. Proj. MAC Rep., MIT, Cambridge, Mass., Apr. 1972, pp. 1-22.
 
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MOLL, R. Complexity classes of recursive functions. Doctoral Diss., MIT, Cambridge, Mass., : {973.
 
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MOSCttOVAKIS, Y. A remark on subrecursive hierarchies, a useful unpublished result proved in 1964 (personal communication).
 
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MEYER, A., Am) R~cmE, D. A classification of functions by computational complexity. Proc. Hawaii Internat. Conf. o11 System Sciences, U. of Hawaii, 1968, pp. 17-19.
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PARIKH, R. On non-uniqueness in transfinite progressions. J. Indian Math. Soc. 31 (1967), 23-32.
 
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RAmN, M.O. Degrees of difficulty of computing a function and a partial ordering of recursive sets. Tech. Rep. 2, Hebrew U., Jerusalem, Israel, 1960.
 
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RITCHIE, D.M. Program structure and computational complexity. Doctoral Diss., Harvard U., Cambridge, Mass., 1969.
 
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RlWCmE, R. W. Classes of predictably computable function. Trans. Amer. Math. Soc. 106 (1963), 139-173.
 
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RITCmE, R.W. Classes of recursive functions based on Ackermann's function. Pacific J. Math. 15 (1965), 1027-1044.
 
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l)~o~mN, J. Subrecursive hierarchies. Doctoral Diss., Princeton U., Princeton, N. J., 1965.
 
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YOUNG, P. Easy constructions in complexity theory: gap and speed-up theorems. Proc. Amer. Math. Soc. 87 (1973), 555-563.

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Leonard Bass: colleagues
Paul Young: colleagues

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