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» A Computable Spectral Theorem
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FCT
2001
Springer
15 years 10 months ago
Divisibility Monoids: Presentation, Word Problem, and Rational Languages
Abstract. We present three results on divisibility monoids. These divisibility monoids were introduced in [11] as an algebraic generalization of Mazurkiewicz trace monoids. (1) We ...
Dietrich Kuske
STACS
2001
Springer
15 years 10 months ago
Small PCPs with Low Query Complexity
Most known constructions of probabilistically checkable proofs (PCPs) either blow up the proof size by a large polynomial, or have a high (though constant) query complexity. In thi...
Prahladh Harsha, Madhu Sudan
BIRTHDAY
1997
Springer
15 years 10 months ago
Expressive Power of Unary Counters
We compare the expressive power on finite models of two extensions of first order logic L with equality. L(Ct) is formed by adding an operator count{x : ϕ}, which builds a term ...
Michael Benedikt, H. Jerome Keisler
COCO
1994
Springer
89views Algorithms» more  COCO 1994»
15 years 10 months ago
Relationships Among PL, #L, and the Determinant
Recent results by Toda, Vinay, Damm, and Valiant have shown that the complexity of the determinant is characterized by the complexity of counting the number of accepting computati...
Eric Allender, Mitsunori Ogihara
APPT
2009
Springer
15 years 10 months ago
Efficient Multiplication of Polynomials on Graphics Hardware
We present the algorithm to multiply univariate polynomials with integer coefficients efficiently using the Number Theoretic transform (NTT) on Graphics Processing Units (GPU). The...
Pavel Emeliyanenko