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ISCI
2010
110views more  ISCI 2010»
13 years 6 months ago
Weighted finite automata over strong bimonoids
: We investigate weighted finite automata over strings and strong bimonoids. Such algebraic structures satisfy the same laws as semirings except that no distributivity laws need t...
Manfred Droste, Torsten Stüber, Heiko Vogler
CSL
2010
Springer
13 years 8 months ago
Formal Theories for Linear Algebra
We introduce two-sorted theories in the style of [CN10] for the complexity classes L and DET, whose complete problems include determinants over Z2 and Z, respectively. We then desc...
Stephen Cook, Lila Fontes
RTA
2010
Springer
13 years 6 months ago
Polynomial Interpretations over the Reals do not Subsume Polynomial Interpretations over the Integers
Polynomial interpretations are a useful technique for proving termination of term rewrite systems. They come in various flavors: polynomial interpretations with real, rational and...
Friedrich Neurauter, Aart Middeldorp
ISSAC
2007
Springer
131views Mathematics» more  ISSAC 2007»
14 years 1 months ago
Some recent progress in exact linear algebra and related questions
We describe some major recent progress in exact and symbolic linear algebra. These advances concern the improvement of complexity estimates for fundamental problems such as linear...
Gilles Villard
ICDM
2002
IEEE
111views Data Mining» more  ICDM 2002»
14 years 17 days ago
An Algebraic Approach to Data Mining: Some Examples
In this paper, we introduce an algebraic approach to the foundations of data mining. Our approach is based upon two algebras of functions de ned over a common state space X and a ...
Robert L. Grossman, Richard G. Larson