Licensing the Mizar Mathematical Library
نویسندگان
چکیده
We present several steps towards large formal mathematical wikis. The Coq proof assistant together with the CoRN repository are added to the pool of systems handled by the general wiki system described in [10]. A smart re-verification scheme for the large formal libraries in the wiki is suggested for Mizar/MML and Coq/CoRN, based on recently developed precise tracking of mathematical dependencies. We propose to use features of state-of-the-art filesystems to allow real-time cloning and sandboxing of the entire libraries, allowing also to extend the wiki to a true multi-user collaborative area. A number of related issues are discussed.
منابع مشابه
Large Formal Wikis: Issues and Solutions
The Mizar Mathematical Library (MML) is a large corpus of formalised mathematical knowledge. It has been constructed over the course of many years by a large number of authors and maintainers. Yet the legal status of these efforts of the Mizar community has never been clarified. In 2010, after many years of loose deliberations, the community decided to investigate the issue of licensing the con...
متن کاملTowards a Mizar Mathematical Library in OMDoc Format
Mizar is one of largest libraries of formalized mathematics. The language of the library is highly optimized for authoring by humans. Like in natural languages, the meaning of an expression is influenced by its (mathematical) context in a way that is natural to humans, but hard to specify for machine manipulation. From this point of view, it may be considered as locked up in an arcane file form...
متن کاملAn OMDoc representation of Mizar library
Mizar library is one of the largest database of formalized mathematics. It contains mathematical articles which were collected over almost 20 years. Even though the database is highly optimized for human access, machines, on the other hand, can hardly understand and process the data. Thus the stored knowledge cannot be manipulated at its highest potential. Therefore Mizar System can be seen as ...
متن کاملA digital library based on Mizar
Many mechanized reasoning systems have facilities for presenting formal content in a more human-oriented way, from outputting web pages to generating verbalisations of proofs. However, these are still some way from producing materials suitable for a mainstream mathematical audience. As an exploratory investigation into this mismatch, we have built a prototype digital library based on the Mizar ...
متن کاملOn the Computer-Checked Solution of the Kuratowski Closure-Complement Problem
Since its beginnings back in 1989, the development of the Mizar Mathematical Library is strongly stimulated by the formalization of general topology. In the paper we describe a solution of the famous Kuratowski closure-complement (and, as a side-effect, the interiorcomplement) problem, which are more a kind of mathematical puzzle (or exercise for students) than regular mathematics. Based on the...
متن کامل