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AISC
2010
Springer
13 years 8 months ago
A Formal Quantifier Elimination for Algebraically Closed Fields
We prove formally that the first order theory of algebraically closed fields enjoy quantifier elimination, and hence is decidable. This proof is organized in two modular parts. We ...
Cyril Cohen, Assia Mahboubi
AISC
2010
Springer
13 years 7 months ago
On Duplication in Mathematical Repositories
Abstract. Building a repository of proof-checked mathematical knowledge is without any doubt a lot of work, and besides the actual formalization process there is also the task of m...
Adam Grabowski, Christoph Schwarzweller
AISC
2010
Springer
13 years 10 months ago
Symbolic Domain Decomposition
Decomposing the domain of a function into parts has many uses in mathematics. A domain may naturally be a union of pieces, a function may be defined by cases, or different bounda...
Jacques Carette, Alan P. Sexton, Volker Sorge, Ste...
AISC
2010
Springer
13 years 10 months ago
Towards MKM in the Large: Modular Representation and Scalable Software Architecture
Abstract. MKM has been defined as the quest for technologies to manage mathematical knowledge. MKM “in the small” is well-studied, so the real problem is to scale up to large,...
Michael Kohlhase, Florian Rabe, Vyacheslav Zholude...
AISC
2010
Springer
13 years 10 months ago
Dimensions of Formality: A Case Study for MKM in Software Engineering
Abstract. We study the formalization process of a collection of documents created for a Software Engineering project from an MKM perspective. We analyze how document and collection...
Andrea Kohlhase, Michael Kohlhase, Christoph Lange...