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» Constructive algebraic integration theory
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FOCM
2007
54views more  FOCM 2007»
13 years 5 months ago
Smooth and Algebraic Invariants of a Group Action: Local and Global Constructions
We provide an algebraic formulation of the moving frame method for constructing local smooth invariants on a manifold under an action of a Lie group. This formulation gives rise t...
Evelyne Hubert, Irina A. Kogan
AISC
1998
Springer
13 years 10 months ago
Reasoning About Coding Theory: The Benefits We Get from Computer Algebra
The use of computer algebra is usually considered beneficial for mechanised reasoning in mathematical domains. We present a case study, in the application domain of coding theory, ...
Clemens Ballarin, Lawrence C. Paulson
CSL
2010
Springer
13 years 6 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
ITP
2010
230views Mathematics» more  ITP 2010»
13 years 7 months ago
On the Formalization of the Lebesgue Integration Theory in HOL
Lebesgue integration is a fundamental concept in many mathematical theories, such as real analysis, probability and information theory. Reported higher-order-logic formalizations o...
Tarek Mhamdi, Osman Hasan, Sofiène Tahar
FPLE
1995
13 years 9 months ago
Explaining Algebraic Theory with Functional Programs
Abstract. A hierarchy of six important structures from abstract algebra (groups, rings, fields etc.) is introduced as Gofer class definitions and laws about them. Many instance d...
Jeroen Fokker