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» An Algebraic Proof of Deuber's Theorem
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AISC
1998
Springer
14 years 20 days 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
JSC
2010
96views more  JSC 2010»
13 years 6 months ago
On a generalization of Stickelberger's Theorem
We prove two versions of Stickelberger’s Theorem for positive dimensions and use them to compute the connected and irreducible components of a complex algebraic variety. If the ...
Peter Scheiblechner
TPHOL
2008
IEEE
14 years 2 months ago
Canonical Big Operators
In this paper, we present an approach to describe uniformly iterated “big” operations, like Pn i=0 f(i) or maxi∈I f(i) and to provide lemmas that encapsulate all the commonly...
Yves Bertot, Georges Gonthier, Sidi Ould Biha, Ioa...
JSYML
2002
81views more  JSYML 2002»
13 years 8 months ago
Group Configurations and Germs in Simple Theories
We develop the theory of germs of generic functions in simple theories. Starting with an algebraic quadrangle (or other similar hypotheses), we obtain an "almost" generic...
Itay Ben-Yaacov
MKM
2005
Springer
14 years 1 months ago
Computational Origami of a Morley's Triangle
Abstract. We present a computational origami construction of Morley’s triangles and automated proof of correctness of the generalized Morley’s theorem in a streamlined process ...
Tetsuo Ida, Hidekazu Takahashi, Mircea Marin