Summary of Automated Completion Of Statements and Proofs in Synthetic Geometry: An Approach Based on Constraint Solving, by Salwa Tabet Gonzalez (university Of Strasbourg) et al.
Automated Completion of Statements and Proofs in Synthetic Geometry: an Approach based on Constraint Solving
by Salwa Tabet Gonzalez, Predrag Janičić, Julien Narboux
First submitted to arxiv on: 22 Jan 2024
Categories
- Main: Artificial Intelligence (cs.AI)
- Secondary: Logic in Computer Science (cs.LO)
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| Summary difficulty | Written by | Summary |
|---|---|---|
| High | Paper authors | High Difficulty Summary Read the original abstract here |
| Medium | GrooveSquid.com (original content) | Medium Difficulty Summary This paper proposes a framework for completing incomplete conjectures and proofs in mathematical practice. The framework can transform an incomplete conjecture with missing assumptions and a vague goal into a formal theorem, and also help turn a proof sketch into a readable and machine-verifiable proof. Focused on synthetic geometry, the approach uses coherent logic and constraint solving. This unique framework is uniform for all three types of tasks. |
| Low | GrooveSquid.com (original content) | Low Difficulty Summary This paper helps mathematicians finish their ideas! It creates a way to make incomplete guesses (conjectures) and unfinished explanations (proofs) into complete and correct results. The method works with shapes and geometry, using special thinking and computer tools. It’s new and useful for making progress in math. |
