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Estimating the Cost of a Standard Library for a Mathematical Proof Checker. http://www.cs.kun.nl/~freek/notes
"... Abstract. We estimate the cost of formalizing a proper standard library for proof checking of mathematics in the spirit of the QED project. Apparently it will take approximately 140 manyears. This estimate does not include the development of the proof checking program, nor does it include work on t ..."
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Abstract. We estimate the cost of formalizing a proper standard library for proof checking of mathematics in the spirit of the QED project. Apparently it will take approximately 140 manyears. This estimate does not include the development of the proof checking program, nor does it include work on the metatheory of that program. This should discourage any individual or small research group to think they can reach anything like the goal of the QED project on their own.
Closing the Gap Between Formal and Digital Libraries of Mathematics
"... Abstract. The representational gap between formal mathematics and most users of digital mathematics resources is a challenge for any approach to mathematical knowledge management which aims to combine the benefits of formal and informal mathematics. In this chapter we study this gap in the context o ..."
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Abstract. The representational gap between formal mathematics and most users of digital mathematics resources is a challenge for any approach to mathematical knowledge management which aims to combine the benefits of formal and informal mathematics. In this chapter we study this gap in the context of a digital library of mathematics based on the Mizar Mathematical Library and make recommendations for improving such formal systems support for MKM. 1