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- Jesse Alama, Kasper Brink, Lionel Mamane, Josef Urban
- Calculemus/MKM
- 2011

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… (More)

- Josef Urban, Jesse Alama, Piotr Rudnicki, Herman Geuvers
- AISC/MKM/Calculemus
- 2010

Formal mathematics has so far not taken full advantage of ideas from collaborative tools such as wikis and distributed version control systems (DVCS). We argue that the field could profit from such tools, serving both newcomers and experts alike. We describe a preliminary system for such collaborative development based on the Git DVCS. We focus, initially,… (More)

- Jesse Alama, Tom Heskes, Daniel Kühlwein, Evgeni Tsivtsivadze, Josef Urban
- Journal of Automated Reasoning
- 2013

Smart premise selection is essential when using automated reasoning as a tool for large-theory formal proof development. This work develops learning-based premise selection in two ways. First, a fine-grained dependency analysis of existing high-level formal mathematical proofs is used to build a large knowledge base of proof dependencies, providing precise… (More)

- Jesse Alama, Daniel Kühlwein, Josef Urban
- LPAR
- 2012

First-order translations of large mathematical repositories allow discovery of new proofs by automated reasoning systems. Large amounts of available mathematical knowledge can be re-used by combined AI/ATP systems, possibly in unexpected ways. But automated systems can be also more easily mis-led by irrelevant knowledge in this setting, and finding deeper… (More)

- Jesse Alama, Lionel Mamane, Josef Urban
- AISC/MKM/Calculemus
- 2012

The Mizar language aims to capture mathematical vernacular by providing a rich language for mathematics. From the perspective of a user, the richness of the language is welcome because it makes writing texts more " natural ". But for the developer, the richness leads to syntactic complexity, such as dealing with overloading. Recently the Mizar team has been… (More)

- Jesse Alama, Michael Kohlhase, Lionel Mamane, Adam Naumowicz, Piotr Rudnicki, Josef Urban
- Calculemus/MKM
- 2011

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… (More)

- Jesse Alama
- 2008

The rank+nullity theorem states that, if T is a linear transformation from a finite-dimensional vector space V to a finite-dimensional vector space W , then dim(V) = rank(T) + nullity(T), where rank(T) = dim(im(T)) and nullity(T) = dim(ker(T)). The proof treated here is standard; see, for example , [14]: take a basis A of ker(T) and extend it to a basis B… (More)

- Jesse Alama, Lionel Mamane, Josef Urban
- ArXiv
- 2011

- Jesse Alama
- ArXiv
- 2012

In some theory development tasks, a problem is satisfactorily solved once it is shown that a theorem (conjecture) is derivable from the background theory (premises). Depending on one's motivations, the details of the derivation of the conjecture from the premises may or may not be important. In some contexts, though, one wants more from theory development… (More)

- Czeslaw Bylinski, Jesse Alama
- AISC/MKM/Calculemus
- 2012

The mizar language aims to capture mathematical vernacular by providing a rich language for mathematics. From the perspective of a user, the richness of the language is welcome because it makes writing texts more " natural ". But for the developer, the richness leads to syntactic complexity, such as dealing with overloading. As part of the larger project of… (More)