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The power of polynomial size Ω-branching programs

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STACS 88 (STACS 1988)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 294))

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Abstract

In the following new types of branching programs, so-called Ω-branching programs, \(\Omega \subseteq \mathbb{B}_2\), are introduced. The complexity classes related to polynomial-size Ω-branching programs will be completely classified. Beside of identifying a new class P {⊕}−BP = L /poly between L/poly and P/poly new characterizations of such fundamental complexity classes, like NL/poly and P/poly are obtained.

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References

  1. D.A.Barrington: Bounded width polynomial-size branching programs recognize exactly those languages in NC1, Proc. 18th STOC, 1986, 1–5

    Google Scholar 

  2. A.Borodin, S.Cook: A time-space tradeoff for sorting on a general sequential model of computation, Proc. 12th STOC 1980, 294–301

    Google Scholar 

  3. A.Cobham: The recognition problem for the set of perfect square, Research paper RC-1704, IBM Watson Research Centre, 1966

    Google Scholar 

  4. A.K.Chandra, D.Kozen, L.Stockmeyer: Alternation, J.Ass. Comp.Machinery 28, 114–133

    Google Scholar 

  5. N.Immerman: Nondeterministic space is closed under complement, Techn. Report 552, Yale Univ., 1987

    Google Scholar 

  6. R.M.Karp, R.J.Lipton: Some connections between nonuniform and uniform complexity classes, Proc. 12th STOC, 1980,302–309

    Google Scholar 

  7. K.Kriegel, S.Waack: Exponential lower bounds for realtime branching programs, Proc. FCT'87, Kazan, LNCS 278, 263–267

    Google Scholar 

  8. Ch. Meinel: P-projection reducibility and the complexity classes L (nonuniform) and NL (nonuniform), Proc. 12-MFCS, 1986, Bratislava, LNCS 233, 527–535

    Google Scholar 

  9. Ch.Meinel: Rudiments of a branching program based complexity theory, to appear in Inf.& Comp.

    Google Scholar 

  10. E.Post: Introduction to a general theory of elementary propositions, Am.J.Math. 43, 163–185

    Google Scholar 

  11. P.Pudlak, S.Zak: Space complexity of computations, Preprint, Univ.of Prague, 1983

    Google Scholar 

  12. I. Wegener: Optimal decision trees and one-time-only branching programs for symmetric Boolean functions, Inf. and Control, Vol 62, 2/3, 1984

    Google Scholar 

  13. I. Wegener: The Complexity of Boolean functions, Teubner, Stuttgart, 1987

    Google Scholar 

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Robert Cori Martin Wirsing

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© 1988 Springer-Verlag Berlin Heidelberg

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Meinel, C. (1988). The power of polynomial size Ω-branching programs. In: Cori, R., Wirsing, M. (eds) STACS 88. STACS 1988. Lecture Notes in Computer Science, vol 294. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0035834

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  • DOI: https://doi.org/10.1007/BFb0035834

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-18834-6

  • Online ISBN: 978-3-540-48190-4

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