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Characterization of Realizable Space Complexities (1994)  (Make Corrections)  (4 citations)
Joel I. Seiferas, Albert R. Meyer



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Abstract: . This is a complete exposition of a tight version of a fundamental theorem of computational complexity due to Levin: The inherent space complexity of any partial function is very accurately specifiable in a \Pi 1 way, and every such specification that is even \Sigma 2 does characterize the complexity of some partial function, even one that assumes only the values 0 and 1. 1. Introduction Some computational problems have nearly best algorithms, and others do not. By "best", we mean essentially ... (Update)

Context of citations to this paper:   More

.... the machines to be able to detect the limits of previously used space without having to devote any resources to marking them [as in SM95, for example]. Additional control states make it easy to go through this count k times. The versions of our transformation and result for...

Cited by:   More
Fundamentals of Computing - Leonid Levin These   (Correct)
Amplification of Slight Probabilistic Advantage at.. - Ioan I. Macarie.. (1998)   (Correct)
Effective Category and Measure in Abstract Complexity Theory.. - Calude, al. (1995)   (Correct)

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BibTeX entry:   (Update)

J. Seiferas and A. R. Meyer. Characterization of realizable space complexities, Annals of Pure and Applied Logic (to appear). http://citeseer.ist.psu.edu/seiferas94characterization.html   More

@techreport{ seiferas95characterization,
    author = "Joel I. Seiferas and Albert R. Meyer",
    title = "Characterization of Realizable Space Complexities",
    number = "TR572",
    year = "1995",
    url = "citeseer.ist.psu.edu/seiferas94characterization.html" }
Citations (may not include all citations):
1911   Introduction to Automata Theory (context) - Hopcroft, Ullman - 1979
83   A machine-independent theory of the complexity of recursive .. (context) - Blum - 1967
71   An Introduction to the General Theory of Algorithms (context) - Machtey, Young - 1978
26   Godel numberings of partial recursive functions (context) - Rogers - 1958
18   Halting space-bounded computations (context) - Sipser - 1980
17   McGraw-Hill (context) - Recursive, Effective - 1967
12   Computational complexity and the existence of complexity gap.. (context) - Borodin - 1972
9   Hierarchies of memory limited computations (context) - Stearns, Hartmanis - 1965
6   Degree of difficulty of computing a function and a partial o.. (context) - Rabin - 1960
4   Relating refined space complexity classes (context) - Seiferas - 1977
3   Computational speed-up by effective operators (context) - Meyer, Fischer - 1972
3   Journal of the Association for Computing Machinery (context) - Constable, gap - 1972
3   On storage capacity for algorithms (context) - Levin - 1973
2   The fundamental theorem of complexity theory (context) - Meyer, Winklmann - 1979
2   Complexity of algorithms and computations (context) - Trakhtenbrot - 1967
1   Journal of the Association for Computing Machinery (context) - procedures, up - 1971
1   Zeitschrift fur Mathematische Logik und Grundlagen der Mathe.. (context) - Schnorr, Stumpf et al. - 1975
1   Theoretical Computer Science (context) - of
1   Complexity of Computations and Algorithms (context) - computation, functions - 1974
1   REALIZABLE SPACE COMPLEXITIES (context) - Lynch, Several et al. - 1975

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