THE CHINESE REMAINDER THEOREM, ITS PROOFS AND ITS GENERALIZATIONS IN MATHEMATICAL REPOSITORIES

• Authors: Schwarzweller Christoph
• Languages of publication: EN

Abstracts

EN

In the spirit of mathematical knowledge management theorems are proven with computer assistance to be included into mathematical repositories. In the mathematical literature one often finds not only different proofs for theorems, but also different versions or generalizations with a different background. In mathematical repositories, for obvious reasons, there is usually one version of a theorem with one proof only - the authors choose a version and a proof which can be formalized most easily. In this paper we argue that there are other issues to decide which proof of a theorem or which version of a theorem should be included in a repository. These basically depend on the intended further use of the theorem and the proof. We illustrate these issues in detail with the Chinese Remainder Theorem as an example.

Keywords

EN

CHINESE REMAINDER THEOREM; GENERALIZATIONS; MATHEMATICAL REPOSITORIES

Discipline

• LIBRARY_&_INFORMATION_SCIENCE: LIBRARY & INFORMATION SCIENCE

• Publisher: Sciendo
• Journal: Studies in Logic, Grammar and Rhetoric
• Year: 2009
• Issue: 18(31)
• Pages: 103-119
• Document type: ARTICLE

Contributors

author

Schwarzweller Christoph

• Christoph Schwarzweller, Department of Computer Science, University of Gdansk, ul. Wita Stwosza 57, 80-952 Gdansk, Poland

Identifiers

CEJSH db identifier

11PLAAAA10168