Implementing mathematics with the Nuprl proof development system
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The foundation of a generic theorem prover
Journal of Automated Reasoning
LATEX (2nd ed.): a document preparation system: user's guide and reference manual
LATEX (2nd ed.): a document preparation system: user's guide and reference manual
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Formal Verification of Floating Point Trigonometric Functions
FMCAD '00 Proceedings of the Third International Conference on Formal Methods in Computer-Aided Design
HELM and the Semantic Math-Web
TPHOLs '01 Proceedings of the 14th International Conference on Theorem Proving in Higher Order Logics
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TAPSOFT '97 Proceedings of the 7th International Joint Conference CAAP/FASE on Theory and Practice of Software Development
AISC '00 Revised Papers from the International Conference on Artificial Intelligence and Symbolic Computation
LISP 1.5 Programmer's Manual
TEX and METAFONT: New directions in typesetting
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Handbook of Mathematical Functions, With Formulas, Graphs, and Mathematical Tables,
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Proofs from THE BOOK
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Journal of Automated Reasoning
A Review of Mathematical Knowledge Management
Calculemus '09/MKM '09 Proceedings of the 16th Symposium, 8th International Conference. Held as Part of CICM '09 on Intelligent Computer Mathematics
Natural Deduction Environment for Matita
Calculemus '09/MKM '09 Proceedings of the 16th Symposium, 8th International Conference. Held as Part of CICM '09 on Intelligent Computer Mathematics
From notation to semantics: there and back again
MKM'06 Proceedings of the 5th international conference on Mathematical Knowledge Management
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One of the main tasks of the mathematical knowledge management community must surely be to enhance access to mathematics on digital systems. In this paper we present a spectrum of approaches to solving the various problems inherent in this task, arguing that a variety of approaches is both necessary and useful. The main ideas presented are about the differences between digitised mathematics, digitally represented mathematics and formalised mathematics. Each has its part to play in managing mathematical information in a connected world. Digitised material is that which is embodied in a computer file, accessible and displayable locally or globally. Represented material is digital material in which there is some structure (usually syntactic in nature) which maps to the mathematics contained in the digitised information. Formalised material is that in which both the syntax and semantics of the represented material, is automatically accessible. Given the range of mathematical information to which access is desired, and the limited resources available for managing that information, we must ensure that these resources are applied to digitise, form representations of or formalise, existing and new mathematical information in such a way as to extract the most benefit from the least expenditure of resources. We also analyse some of the various social and legal issues which surround the practical tasks.