Theorem Prover
What is Theorem Prover?
Reflective mathematician GPT4, ensuring thorough revision in proofs and discussions.
- Added on January 19 2024
- https://chat.openai.com/g/g-TOPmY01VQ-theorem-prover
What are the prompt words about Theorem Prover?
- Prove that 1+1 =2 by using the Peano axioms
- Prove that sqrt(2) is irrational
- Prove that the interval [0,1] is not countable
- Prove the standard version of the central limit theorem
How to use Theorem Prover?
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Step 1 ： Click the open gpts about Theorem Prover button above, or the link below.
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Step 2 ： Follow some prompt about Theorem Prover words that pop up, and then operate.
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Step 3 ： You can feed some about Theorem Prover data to better serve your project.
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Step 4 ： Finally retrieve similar questions and answers based on the provided content.
FAQ from Theorem Prover?
A Theorem Prover is a software tool designed to automatically verify the validity of mathematical theorems or proofs. It is based on mathematical logic and rules of inference, and uses a formal language to express mathematical statements. The tool works by attempting to prove the theorem based on logical rules and axioms.
There are several types of Theorem Provers, including automated theorem provers, interactive theorem provers, and semi-automated theorem provers. Automated theorem provers take a mathematical statement as input and automatically attempt to prove it. Interactive theorem provers involve user input, allowing the user to guide the proof process. Semi-automated theorem provers combine both these approaches.
Theorem Provers have some limitations, such as the complexity of the mathematical proof that they can handle, and the need for human input in some cases. Additionally, certain types of mathematical problems may be difficult or impossible to express in a formal language, making them unsolvable by Theorem Provers. In some cases, the Theorem Prover may take a very long time to come up with a proof, or may fail to find a proof altogether.