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» Complexity of Equations over Sets of Natural Numbers
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ICGI
2010
Springer
14 years 10 months ago
Generalizing over Several Learning Settings
We recapitulate regular one-shot learning from membership and equivalence queries, positive and negative finite data. We present a meta-algorithm that generalizes over as many sett...
Anna Kasprzik
FOCS
2002
IEEE
15 years 2 months ago
Linear Diophantine Equations over Polynomials and Soft Decoding of Reed-Solomon Codes
Abstract—This paper generalizes the classical Knuth–Schönhage algorithm computing the greatest common divisor (gcd) of two polynomials for solving arbitrary linear Diophantine...
Michael Alekhnovich
84
Voted
MST
2006
99views more  MST 2006»
14 years 9 months ago
Complexity of the Exact Domatic Number Problem and of the Exact Conveyor Flow Shop Problem
We prove that the exact versions of the domatic number problem are complete for the levels of the boolean hierarchy over NP. The domatic number problem, which arises in the area of...
Tobias Riege, Jörg Rothe
AML
2008
124views more  AML 2008»
14 years 9 months ago
The elementary computable functions over the real numbers: applying two new techniques
The basic motivation behind this work is to tie together various computational complexity classes, whether over different domains such as the naturals or the reals, or whether def...
Manuel Lameiras Campagnolo, Kerry Ojakian
CADE
2010
Springer
14 years 8 months ago
Monotonicity Criteria for Polynomial Interpretations over the Naturals
Polynomial interpretations are a useful technique for proving termination of term rewrite systems. In an automated setting, termination tools are concerned with parametric polynomi...
Friedrich Neurauter, Aart Middeldorp, Harald Zankl