System Description: SystemOn TPTP
CADE-17 Proceedings of the 17th International Conference on Automated Deduction
Optimizing Proof Search in Model Elimination
CADE-13 Proceedings of the 13th International Conference on Automated Deduction: Automated Deduction
MPTP 0.2: Design, Implementation, and Initial Experiments
Journal of Automated Reasoning
MaLARea SG1 - Machine Learner for Automated Reasoning with Semantic Guidance
IJCAR '08 Proceedings of the 4th international joint conference on Automated Reasoning
seL4: formal verification of an OS kernel
Proceedings of the ACM SIGOPS 22nd symposium on Operating systems principles
Evaluation of automated theorem proving on the Mizar mathematical library
ICMS'10 Proceedings of the Third international congress conference on Mathematical software
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
Automated proof compression by invention of new definitions
LPAR'10 Proceedings of the 16th international conference on Logic for programming, artificial intelligence, and reasoning
Sine Qua non for large theory reasoning
CADE'11 Proceedings of the 23rd international conference on Automated deduction
XML-izing mizar: making semantic processing and presentation of MML easy
MKM'05 Proceedings of the 4th international conference on Mathematical Knowledge Management
MaSh: machine learning for sledgehammer
ITP'13 Proceedings of the 4th international conference on Interactive Theorem Proving
Automated reasoning service for HOL light
CICM'13 Proceedings of the 2013 international conference on Intelligent Computer Mathematics
Theorem proving in large formal mathematics as an emerging AI field
Automated Reasoning and Mathematics
Premise Selection for Mathematics by Corpus Analysis and Kernel Methods
Journal of Automated Reasoning
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This paper describes the Automated Reasoning for Mizar ( $\textsf{Miz}\mathbb{AR}$ ) service, which integrates several automated reasoning, artificial intelligence, and presentation tools with Mizar and its authoring environment. The service provides ATP assistance to Mizar authors in finding and explaining proofs, and offers generation of Mizar problems as challenges to ATP systems. The service is based on a sound translation from the Mizar language to that of first-order ATP systems, and relies on the recent progress in application of ATP systems in large theories containing tens of thousands of available facts. We present the main features of $\textsf{Miz}\mathbb{AR}$ services, followed by an account of initial experiments in finding proofs with the ATP assistance. Our initial experience indicates that the tool offers substantial help in exploring the Mizar library and in preparing new Mizar articles.