A framework for defining logics
Journal of the ACM (JACM)
On Equivalents of Well-Foundedness
Journal of Automated Reasoning
System Description: Twelf - A Meta-Logical Framework for Deductive Systems
CADE-16 Proceedings of the 16th International Conference on Automated Deduction: Automated Deduction
OMDoc -- An Open Markup Format for Mathematical Documents [version 1.2]: Foreword by Alan Bundy (Lecture Notes in Computer Science)
MPTP 0.2: Design, Implementation, and Initial Experiments
Journal of Automated Reasoning
Computer assisted reasoning with MIZAR
IJCAI'85 Proceedings of the 9th international joint conference on Artificial intelligence - Volume 1
AISC'10/MKM'10/Calculemus'10 Proceedings of the 10th ASIC and 9th MKM international conference, and 17th Calculemus conference on Intelligent computer mathematics
Automated reasoning and presentation support for formalizing mathematics in Mizar
AISC'10/MKM'10/Calculemus'10 Proceedings of the 10th ASIC and 9th MKM international conference, and 17th Calculemus conference on Intelligent computer mathematics
Towards MKM in the large: modular representation and scalable software architecture
AISC'10/MKM'10/Calculemus'10 Proceedings of the 10th ASIC and 9th MKM international conference, and 17th Calculemus conference on Intelligent computer mathematics
A wiki for Mizar: motivation, considerations, and initial prototype
AISC'10/MKM'10/Calculemus'10 Proceedings of the 10th ASIC and 9th MKM international conference, and 17th Calculemus conference on Intelligent computer mathematics
Project abstract: logic atlas and integrator (LATIN)
MKM'11 Proceedings of the 18th Calculemus and 10th international conference on Intelligent computer mathematics
Information retrieval and rendering with MML query
MKM'06 Proceedings of the 5th international conference on Mathematical Knowledge Management
XML-izing mizar: making semantic processing and presentation of MML easy
MKM'05 Proceedings of the 4th international conference on Mathematical Knowledge Management
A search engine for mathematical formulae
AISC'06 Proceedings of the 8th international conference on Artificial Intelligence and Symbolic Computation
Extending MKM formats at the statement level
CICM'12 Proceedings of the 11th international conference on Intelligent Computer Mathematics
MathWebSearch 0.5: scaling an open formula search engine
CICM'12 Proceedings of the 11th international conference on Intelligent Computer Mathematics
Information and Computation
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The Mizar Mathematical Library is one of the largest libraries of formalized and mechanically verified mathematics. Its language is highly optimized for authoring by humans. As in natural languages, the meaning of an expression is influenced by its (mathematical) context in a way that is natural to humans, but harder to specify for machine manipulation. Thus its custom file format can make the access to the library difficult. Indeed, the Mizar system itself is currently the only system that can fully operate on the Mizar library. This paper presents a translation of the Mizar library into the OMDoc format (Open Mathematical Documents), an XML-based representation format for mathematical knowledge. OMDoc is geared towards machine support and interoperability by making formula structure and context dependencies explicit. Thus, the Mizar library becomes accessible for a wide range of OMDoc-based tools for formal mathematics and knowledge management. We exemplify interoperability by indexing the translated library in the MathWebSearch engine, which provides an "applicable theorem search" service (almost) out of the box.