Automated deduction in von Neumann-Bernays-Go¨del set theory
Journal of Automated Reasoning
Towards a standard upper ontology
Proceedings of the international conference on Formal Ontology in Information Systems - Volume 2001
Automated Development of Fundamental Mathematical Theories
Automated Development of Fundamental Mathematical Theories
HOL Light: A Tutorial Introduction
FMCAD '96 Proceedings of the First International Conference on Formal Methods in Computer-Aided Design
Translating Mizar for First Order Theorem Provers
MKM '03 Proceedings of the Second International Conference on Mathematical Knowledge Management
CADE-12 Proceedings of the 12th International Conference on Automated Deduction
SNoW User Guide
leanCoP: lean connection-based theorem proving
Journal of Symbolic Computation - Special issue: First order theorem proving
Interactive Theorem Proving and Program Development
Interactive Theorem Proving and Program Development
MPTP -- Motivation, Implementation, First Experiments
Journal of Automated Reasoning
MPTP 0.2: Design, Implementation, and Initial Experiments
Journal of Automated Reasoning
The design and implementation of VAMPIRE
AI Communications - CASC
AI Communications - CASC
SRASS - A Semantic Relevance Axiom Selection System
CADE-21 Proceedings of the 21st international conference on Automated Deduction: Automated Deduction
IJCAR '08 Proceedings of the 4th international joint conference on Automated Reasoning
MaLARea SG1 - Machine Learner for Automated Reasoning with Semantic Guidance
IJCAR '08 Proceedings of the 4th international joint conference on Automated Reasoning
The 4th IJCAR Automated Theorem Proving System Competition - CASC-J4
AI Communications
CADE-22 Proceedings of the 22nd International Conference on Automated Deduction
ATP cross-verification of the Mizar MPTP challenge problems
LPAR'07 Proceedings of the 14th international conference on Logic for programming, artificial intelligence and reasoning
Isabelle/HOL: a proof assistant for higher-order logic
Isabelle/HOL: a proof assistant for higher-order logic
Superposition modulo linear arithmetic SUP(LA)
FroCoS'09 Proceedings of the 7th international conference on Frontiers of combining systems
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
The TPTP world - infrastructure for automated reasoning
LPAR'10 Proceedings of the 16th international conference on Logic for programming, artificial intelligence, and reasoning
MaLeCoP: machine learning connection prover
TABLEAUX'11 Proceedings of the 20th international conference on Automated reasoning with analytic tableaux and related methods
On Deciding Satisfiability by Theorem Proving with Speculative Inferences
Journal of Automated Reasoning
XML-izing mizar: making semantic processing and presentation of MML easy
MKM'05 Proceedings of the 4th international conference on Mathematical Knowledge Management
Automated and human proofs in general mathematics: an initial comparison
LPAR'12 Proceedings of the 18th international conference on Logic for Programming, Artificial Intelligence, and Reasoning
Satallax: an automatic higher-order prover
IJCAR'12 Proceedings of the 6th international joint conference on Automated Reasoning
Integrating linear arithmetic into superposition calculus
CSL'07/EACSL'07 Proceedings of the 21st international conference, and Proceedings of the 16th annuall conference on Computer Science Logic
ATP and Presentation Service for Mizar Formalizations
Journal of Automated Reasoning
| Hi-index | 0.00 |
In the recent years, we have linked a large corpus of formal mathematics with automated theorem proving (ATP) tools, and started to develop combined AI/ATP systems working in this setting. In this paper we first relate this project to the earlier large-scale automated developments done by Quaife with McCune's Otter system, and to the discussions of the QED project about formalizing a significant part of mathematics. Then we summarize our adventure so far, argue that the QED dreams were right in anticipating the creation of a very interesting semantic AI field, and discuss its further research directions.