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Structured exploration
Traverse mathematical space with discipline.
Research Brief
The goal is to move from suggestion to verified structure.
Search. Formalization. Lean verification.
Problem Framing
Mathematical reasoning is not just technical text.
It requires explicit objects, preserved structure, and proof obligations.
That is why verification belongs inside the system boundary.
Representation
Formal intermediate states
Make partial progress legible to proof.
Verification
Lean as an execution boundary
Claims should end where they can be checked.
Current Stance
OrthosAI is early.
The standard remains rigor, structure, and verification.