Realization of a geometry-theorem proving machine
Computers & thought
Empirical explorations of the geometry-theorem proving machine
Computers & thought
A Computing Procedure for Quantification Theory
Journal of the ACM (JACM)
A Machine-Oriented Logic Based on the Resolution Principle
Journal of the ACM (JACM)
Automatic Theorem Proving With Renamable and Semantic Resolution
Journal of the ACM (JACM)
The Concept of Demodulation in Theorem Proving
Journal of the ACM (JACM)
Journal of the ACM (JACM)
A Human Oriented Logic for Automatic Theorem-Proving
Journal of the ACM (JACM)
IBM Journal of Research and Development
Readable Machine Solving in Geometry and ICAI Software MSG
ADG '98 Proceedings of the Second International Workshop on Automated Deduction in Geometry
Emphasizing Human Techniques in Automated Geometry Theorem Proving: A Practical Realization
ADG '00 Revised Papers from the Third International Workshop on Automated Deduction in Geometry
EGS: a transformational approach to automatic example generation
IJCAI'85 Proceedings of the 9th international joint conference on Artificial intelligence - Volume 1
A web-based intelligent system for geometric discovery
ICCS'03 Proceedings of the 1st international conference on Computational science: PartI
Circumscription And Generic Mathematical Objects
Fundamenta Informaticae
Hi-index | 14.98 |
A semantic and deductive formal system for automatic theorem proving is presented. The system has, as its deductive component, a form of natural deduction. Its semantic component relies on an underlying representation of a model. This model is invoked to prune subgoals generated by the deductive component, whenever such subgoals test false in the model. In addition, the model is used to suggest inferences to be made at the deductive level. Conversely, the current state of the proof suggests changes to be made to the model, e.g., when a construction is required as in geometry.