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TheoremDB
5.6KMonthly visits
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About TheoremDB
TheoremDB is a public workspace designed to streamline machine-driven mathematical research by providing a centralized, searchable repository of problems, approaches, evidence, and results. The platform hosts a curated collection of reviewed open problems spanning disciplines such as number theory, combinatorics, group theory, computational geometry, and tilings, each accompanied by contextual metadata and links to related discussions. Users can explore problems through embedded JSON fragments that formalize problem statements, as well as access packets that summarize prior attempts, partial findings, and failed strategies in a structured format. The platform facilitates collaboration by integrating with external tools like ChatGPT, enabling users to open problems directly in ChatGPT for further exploration. Contributions are supported through the TheoremDB Researcher interface, which allows researchers to document incremental progress, including Lean proof attempts, thereby reducing duplication of effort in mathematical research. During its alpha phase, semantic expansion features remain disabled to ensure stability and reliability of the platform’s core functionality.
Key features
- Browsable catalog of open mathematical problems
- Embedded JSON fragments for formal problem statements
- Packet summaries of prior research attempts
- Lean proof contribution interface
- Integration with ChatGPT for problem exploration
- Discipline-specific categorization of problems
- Metadata tags for problem attributes and context
Use cases
- Tracking incremental progress on unsolved mathematical conjectures
- Avoiding duplication of research efforts in automated theorem proving
- Collaborative documentation of failed approaches for future reference
Pros
- Publicly accessible database of reviewed mathematical problems
- Searchable record of prior attempts and partial results
- Supports Lean proof contributions via TheoremDB Researcher
- Integrates with external tools like ChatGPT for exploration
- Hosts problems across multiple mathematical disciplines
Cons
- Alpha-stage software with limited features enabled
- Semantic expansion functionality disabled
- No explicit support for user uploads beyond Lean proofs
Frequently asked questions about TheoremDB
What is TheoremDB?
TheoremDB is a public workspace for machine mathematics that maintains a searchable record of mathematical problems, approaches, evidence, and results to reduce duplication in research.
Who should use TheoremDB?
Researchers, mathematicians, and AI-driven proof assistants who seek to document, explore, and collaborate on open mathematical problems across disciplines like number theory, combinatorics, and group theory.
How does TheoremDB work?
The platform allows users to browse reviewed open problems, view formal problem statements in JSON format, and access packets summarizing prior attempts and partial findings. Contributions can be made via the TheoremDB Researcher interface, including Lean proof attempts.
Does TheoremDB integrate with other tools?
Yes, TheoremDB integrates with external tools like ChatGPT, enabling users to open problems directly in ChatGPT for further exploration and collaboration.
What are the current limitations of TheoremDB?
During its alpha phase, semantic expansion features remain disabled. The platform is also limited to problems and contributions that fit its structured format and review process.
How can I get started with TheoremDB?
Users can begin by browsing the collection of open problems or signing in to contribute via the TheoremDB Researcher interface. Integration with ChatGPT allows for immediate exploration of problems.
TheoremDB Website Engagement
Last Update: 9 days ago
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