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  Useful Properties of a Frame-Based Representation of Mathematical Knowledge

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by Manfred Kerber, Manfred Kerber
http://kbibmp3.ub.uni-kl.de/Preprint_Informatik/PS/Kerber-SR-91-06.ps.gz
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Abstract:

To prove difficult theorems in a mathematical field requires substantial knowledge of that field. In this paper a frame-based knowledge representation formalism is presented, which supports a conceptual representation and to a large extent guarantees the consistency of the built-up knowledge bases. We define a semantics of the representation by giving a translation into the underlaying logic.

Citations

572 A framework for representing knowledge – Minsky - 1975
462 Principles of Artificial Intelligence – Nilsson - 1980
67 The logic of frames – Hayes - 1979
63 The consistency of the axiom of choice and of the generalized continuum hypothesis with the axioms of set theory – Gödel - 1940
36 The Psychology of Invention in the Mathematical Field – Hadamard - 1945
29 Mathematics and Plausible Reasoning – Polya - 1954
15 Mathematical Discovery: On Understanding, Learning and Teaching Problem Solving – Polya - 1962
13 On the Representation of Mathematical Concepts and their Translation into First Order Logic – Kerber - 1992
5 The Markgraf Karl Refutation Procedure – Raph - 1984
2 Vollstndige Induktion – Hutter - 1992
2 der Waerden. Wie der Beweis der Vermutung von Baudet gefunden wurde – van - 1964
1 der Waerden. Algebra I, volume 12 of Heidelberger Taschenbucher – van - 1971