Gro¨bner bases: a computational approach to commutative algebra
Gro¨bner bases: a computational approach to commutative algebra
From Proof-Assistants to Distributed Libraries of Mathematics: Tips and Pitfalls
MKM '03 Proceedings of the Second International Conference on Mathematical Knowledge Management
MKM from Book to Computer: A Case Study
MKM '03 Proceedings of the Second International Conference on Mathematical Knowledge Management
On the Integrity of a Repository of Formalized Mathematics
MKM '03 Proceedings of the Second International Conference on Mathematical Knowledge Management
A Refinement of de Bruijn's Formal Language of Mathematics
Journal of Logic, Language and Information
On duplication in mathematical repositories
AISC'10/MKM'10/Calculemus'10 Proceedings of the 10th ASIC and 9th MKM international conference, and 17th Calculemus conference on Intelligent computer mathematics
Verifying and invalidating textbook proofs using scunak
MKM'06 Proceedings of the 5th international conference on Mathematical Knowledge Management
Automated Discovery of Properties of Rough Sets
Fundamenta Informaticae - Concurrency, Specification and Programming
| Hi-index | 0.00 |
Defining functions is a major topic when building mathematical repositories. Though relatively easy in mathematical vernacular, function definitions rise a number of questions and problems in fully formal languages (see [4]). This becomes even more important for repositories in which properties of the defined functions are not only stated, but also proved correct. In this paper we investigate function definitions in the Mizar system. Though most of them are straightforward and follow the intuition, we also found a number of examples differing from mathematical vernacular or where different solutions seem equally reasonable. Sometimes there even do not seem to exist solutions not somehow “ignoring mathematical vernacular”. So the question is: Should we seek for some kind of standard, that is a “formal mathematical vernacular”, or should we accept that different authors prefer different styles?