Toda's theorem

Toda's theorem is a result in computational complexity theory that was proven by Seinosuke Toda in his paper "PP is as Hard as the Polynomial-Time… (More)
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Papers overview

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Review
2017
Review
2017
Concerns regarding the vulnerability of automatic speaker verification (ASV) technology against spoofing can undermine confidence… (More)
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2009
2009
We prove Toda's Theorem in the context of structural communication complexity, i.e. PH ⊆ BP · ⊕P ⊆ P(#P) = P(PP). The class… (More)
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2009
2009
Toda in his celebrated paper showed that the polynomial-time hierarchy is contained in P#P. We give a short and simple proof of… (More)
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2009
2009
We study the relationship between the computational hardness of two well-studied problems in algorithmic semi-algebraic geometry… (More)
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2009
2009
  • Saugata Basu
  • Electronic Colloquium on Computational Complexity
  • 2009
Toda [19] proved in 1989 that the (discrete) polynomial time hierarchy, PH, is contained in the class P#P, namely the class of… (More)
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2004
2004
  • Andrei Okounkov
  • 2004
We consider ramified coverings of P1 with arbitrary ramification type over 0,∞ ∈ P1 and simple ramifications elsewhere and prove… (More)
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2003
2003
A cross between two well-known integrable multi-particle dynamics, an affine Toda molecule and a Sutherland system, is introduced… (More)
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1997
1997
Multidimensional cosmological model describing the evolution of (n + 1) Einstein spaces in the theory with several scalar fields… (More)
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1994
1994
Toda's theorem states that the polynomial time hierarchy is contained in P(PP) An important building block in the proof is the… (More)
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1993
1993
Abstract Affine Toda theories with imaginary couplings associate with any simple Lie algebra g generalisations of Sine Gordon… (More)
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