References
J. H. Bennett,On Spectra, Thesis, Princeton, 1962.
A. Cobham, The intrinsic computational complexity of functions,Proc. 1964 International Congress on Logic, Methodology and Philosophy of Science, pp. 24–30, North-Holland, Amsterdam, 1965.
M. J. Fischer andA. L. Rosenberg, Turing machines with reset operations,Notices Amer. Math. Soc., p. 845, 67T-629, 1967.
A. Grzegorczyk, Some classes of recursive functions,Rozprawy Matematyczne, No. 4, 1953.
J. Hartmanis, P. M. Lewis II, andR. E. Stearns, Hierarchies on memory limited computations, IEEE Conf. Record on Switching Circuit Theory and Logical Design, 1965, pp. 179–190, Ann Arbor, Michigan.
F. C. Hennie, One-tape, off-line Turing machine computations,Information and Control 8 (1965), 553–578.
F. C. Hennie andR. E. Stearns, Two-tape simulation of multitape Turing machines,J. Assoc. Comp. Mach. 13 (1966), 533–546.
J. E. Hopcroft andJ. D. Ullman, Formal Languages and their relation to automata, Addison Wesley, Reading, Mass., 1969.
S. C. Kleene,Introduction to Metamathematics, Van Nostrand, New York, 1952.
G. Kreisel, Recursive, subrecursive, metarecursive, Rome Air Development Center and Hughes-Fullerton TP 66-11-22, 1965.
R. W. Ritchie, Classes of predictably computable functions,Trans. Amer. Math. Soc. 106 (1963), 137–173.
H. Rogers,Theory of Recursive Functions and Effective Computability, McGraw-Hill, New York, 1967.
Raymond M. Smullyan,Theory of Formal Systems, Annals of Math. Studies, No. 47, Princeton Univ. Press, Princeton, 1961.
D. B. Thompson,Subrecursiveness and Finite Computers, Thesis, Stanford, 1968.
D. B. Thompson, On the complexity of finite functions, in preparation.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Thompson, D.B. Subrecursiveness: Machine-independent notions of computability in restricted time and storage. Math. Systems Theory 6, 3–15 (1972). https://doi.org/10.1007/BF01706069
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01706069