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2. Proof assistant - Wikipedia

   en.wikipedia.org/wiki/Proof_assistant

   In computer science and mathematical logic, a proof assistant or interactive theorem prover is a software tool to assist with the development of formal proofs by human–machine collaboration. This involves some sort of interactive proof editor, or other interface , with which a human can guide the search for proofs, the details of which are ...

3. Wu's method of characteristic set - Wikipedia

   en.wikipedia.org/wiki/Wu's_method_of...

   Wenjun Wu's method is an algorithm for solving multivariate polynomial equations introduced in the late 1970s by the Chinese mathematician Wen-Tsun Wu.This method is based on the mathematical concept of characteristic set introduced in the late 1940s by J.F. Ritt.

4. AlphaGeometry - Wikipedia

   en.wikipedia.org/wiki/AlphaGeometry

   AlphaGeometry is an artificial intelligence (AI) program that can solve hard problems in Euclidean geometry.It was developed by DeepMind, a subsidiary of Google.The program solved 25 geometry problems out of 30 from the International Mathematical Olympiad (IMO) under competition time limits—a performance almost as good as the average human gold medallist.

5. Automated theorem proving - Wikipedia

   en.wikipedia.org/wiki/Automated_theorem_proving

   Since the proofs generated by automated theorem provers are typically very large, the problem of proof compression is crucial, and various techniques aiming at making the prover's output smaller, and consequently more easily understandable and checkable, have been developed. Proof assistants require a human user to give hints to the system ...

6. Moser's trick - Wikipedia

   en.wikipedia.org/wiki/Moser's_trick

   It was originally given by Jürgen Moser in 1965 to check when two volume forms are equivalent, [1] but its main applications are in symplectic geometry. It is the standard argument for the modern proof of Darboux's theorem, as well as for the proof of Darboux-Weinstein theorem [2] and other normal form results. [2] [3] [4]

7. Computer-assisted proof - Wikipedia

   en.wikipedia.org/wiki/Computer-assisted_proof

   A computer-assisted proof is a mathematical proof that has been at least partially generated by computer. Most computer-aided proofs to date have been implementations of large proofs-by-exhaustion of a mathematical theorem. The idea is to use a computer program to perform lengthy computations, and to provide a proof that the result of these ...