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- 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, 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
- PAAR@IJCAR
- 2012

We announce a tool for mapping E derivations to Mizar proofs. Our mapping complements earlier work that generates problems for automated theorem provers from Mizar inference checking problems. We describe the tool, explain the mapping, and show how we solved some of the difficulties that arise in mapping proofs between different logical formalisms, even… (More)

- Jesse Alama
- 2011

In recent years wikis for formal mathematics have appeared. Formal mathematics presents a number of challenges for the wiki perspective. To enhance the quality of the data in these wikis from the perspective of information architecture, we propose some extensions of existing formal mathematics wikis to more properly handle metadata.

- 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 misled 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
- 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… (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)

- William Richter, Adam Grabowski, Jesse Alama
- Formalized Mathematics
- 2014

This is the translation of the Mizar article containing readable Mizar proofs of some axiomatic geometry theorems formulated by the great Polish mathematician Alfred Tarski [8], and we hope to continue this work. The article is an extension and upgrading of the source code written by the first author with the help of miz3 tool; his primary goal was to use… (More)