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Titlebook: Mathematical Knowledge Management; 4th International Co Michael Kohlhase Conference proceedings 2006 Springer-Verlag Berlin Heidelberg 2006

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书目名称Mathematical Knowledge Management
副标题4th International Co
编辑Michael Kohlhase
视频video
丛书名称Lecture Notes in Computer Science
图书封面Titlebook: Mathematical Knowledge Management; 4th International Co Michael Kohlhase Conference proceedings 2006 Springer-Verlag Berlin Heidelberg 2006
描述This volume contains the proceedings of the Fourth International Conference on Mathematical Knowledge Management MKM 2005 held July 15–17, 2005 at - ternational University Bremen, Germany. Previous conferences have been at the Research Institute for Symbolic Computation (RISC) Linz, Austria (September 2001), at Bertinoro, Italy (March 2003), and Bialowiecze, Poland (September 2004). Mathematical knowledge management (MKM) is a ?eld in the intersection of mathematics and computer science, providing new techniques for managing the enormous volume of mathematical knowledge available in current mathematical sources and making it available through the new developments in information technology. The annual MKM Conference brings together mathematicians, software - velopers, publishing companies, math organizations, math users, and educators to exchange their views and approaches, current activities and new initiatives. For the ?rst time, MKM 2005 chose to have post-conference proceedings, as otherwise the submission deadline would have collided with other conferences and crimped time since MKM 2004 in September 2004. The decision also faci- tatedkeepingtheconferenceopentonewideasaswellask
出版日期Conference proceedings 2006
关键词Algebra; automated theorem proving; e-learning; equation; formal logic; formal mathematics; interactive al
版次1
doihttps://doi.org/10.1007/11618027
isbn_softcover978-3-540-31430-1
isbn_ebook978-3-540-31431-8Series ISSN 0302-9743 Series E-ISSN 1611-3349
issn_series 0302-9743
copyrightSpringer-Verlag Berlin Heidelberg 2006
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A Proof-Theoretic Approach to Hierarchical Math Library Organizationn of proofs that captures scope and present a set of proof rules to create and reorganize the scopes of theorems and lemmas. The representation and rules allow systems for formalized mathematics to more accurately reflect the natural structure of mathematical knowledge.
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A Tough Nut for Mathematical Knowledge Managementystem can recognize that a solution to a problem is already available, although possibly in disguise. As our starting point we take McCarthy’s 1964 mutilated checkerboard challenge problem for proof procedures and compare some of its different formalizations.
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Processing Textbook-Style Matrices matrix containing ellipses and fill symbols, our algorithm extracts the semantic information contained. Matrices are interpreted as a collection of regions that can be interpolated with a particular term structure. The effectiveness of our procedure is demonstrated with an implementation in the computer algebra system Maple.
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A Generic Modular Data Structure for Proof Attempts Alternating on Ideas and Granularityo proof assistants. It supports and bridges the gap between abstract level proof explanation and low-level proof verification. The proof data structure enables, in particular, the flexible handling of lemmas, the maintenance of different proof alternatives, and the representation of different granularities of proof attempts.
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