Abstract
Nondetermistic logspace-bounded reductions are introduced. A set in DSPACE(log n), NP-complete with respect to these reductions, is exhibited, which makes the transitive closure of the NLOG(·)-operation quite unlikely, unless NSPACE(log n) = NP is assumed. In contrast to this the NLOG-closure of NLOG(NLOG(·))-classes is shown.
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References
J. Berstel, Transductions And Context-Free Languages, Teubner, Stuttgart, 1979
P. Flajolet, J.M. Steyart, Complexity Of Classes Of Languages And Operators, IRIA Rapport De Recherche No 92, 1974
M. Garey, D. Johnson, Computers and Intractability: A Guide to the Theory of NP-Completeness, W.H. Freeman and Company, San Fransisco, 1979
S. Ginsburg, G. Rozenberg, TOL schemes and control sets, Inform. and Control 27 (1974), 109–125
J. Hartmanis, Feasible Computations and Provable Complexity Properties, SIAM Monographie, Philadelphia, 1978
J. Hartmanis, N. Immerman, S. Mahaney, One-way Log-Tape Reductions, Proc. of the 19th Symposium on Foundations of Computer Science (1978), 65–71
J.E. Hopcroft, J.D. Ullman, Introduction to Automata Theory, Languages, and Computation, Addison-Wesley Publ., Reading, 1979
N.D. Jones, S. Skyum, Recognition of deterministic ETOL Languages in logarithmic space, Inform. and Control 35 (1977), 177–181
R.E. Ladner, N. Lynch, Relativization of questions about Log space computability, Math. Sys. Theory 10 (1976), 19–32
R. Ladner, N. Lynch, A. Selman, A Comparison of Polynomial Time Reducibilities, Theor. Comput. Sci. 1 (1975), 103–123
B. Monien, I.H. Sudborough, The interface between language theory and complexity theory, in ‘Formal Language Theory’ (R.V. Book ed.), Academic Press, New York, 1980, 287–324
G. Rozenberg, A. Salomaa, The Mathematical Theory of L Systems, Academic Press, New York, 1980
L.J. Stockmeyer, A.R. Meyer, Word problems requiring exponential space, Proc. Fifth. Annual ACM Symposium on the Theory of Computing, 1–9, 1973
I. Sudborough, On tape bounded complexity classes and multihead finite automata, J. Comput. Syst. Sci 10 (1975), 62–76
I.H. Sudborough, The complexity of the membership problem for some extensions of context-free languages, Intern. J. Computer Math. 6 (1977), 191–215
I.H. Sudborouth, On the tape complexity of deterministic context-free languages, J. Assoc. Comput. Mach. 25 (1978) 405–414
J. van Leeuwen, The membership question for ETOL languages is polynomially complete, Inform. Process. Lett. 3 (1975) 138–143
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© 1984 Springer-Verlag Berlin Heidelberg
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Klaus, Lange, J. (1984). Nondeterministic logspace reductions. In: Chytil, M.P., Koubek, V. (eds) Mathematical Foundations of Computer Science 1984. MFCS 1984. Lecture Notes in Computer Science, vol 176. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0030320
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DOI: https://doi.org/10.1007/BFb0030320
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