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2. Lean (proof assistant) - Wikipedia

   en.wikipedia.org/wiki/Lean_(proof_assistant)

   Apache License 2.0. Website. lean-lang.org. Influenced by. ML Coq Haskell. Lean is a proof assistant and a functional programming language. [ 1 ] It is based on the calculus of constructions with inductive types. It is an open-source project hosted on GitHub.

3. Proof assistant - Wikipedia

   en.wikipedia.org/wiki/Proof_assistant

   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 ...

4. Automated theorem proving - Wikipedia

   en.wikipedia.org/wiki/Automated_theorem_proving

   Automated theorem proving. Automated theorem proving (also known as ATP or automated deduction) is a subfield of automated reasoning and mathematical logic dealing with proving mathematical theorems by computer programs. Automated reasoning over mathematical proof was a major motivating factor for the development of computer science.

5. Vampire (theorem prover) - Wikipedia

   en.wikipedia.org/wiki/Vampire_(theorem_prover)

   Vampire is an automatic theorem prover for first-order classical logic developed in the Department of Computer Science at the University of Manchester. Up to Version 3, it was developed by Andrei Voronkov together with Kryštof Hoder and previously with Alexandre Riazanov. Since Version 4, the development has involved a wider international team ...

6. Isabelle (proof assistant) - Wikipedia

   en.wikipedia.org/wiki/Isabelle_(proof_assistant)

   Isabelle (proof assistant) The Isabelle[a] automated theorem prover is a higher-order logic (HOL) theorem prover, written in Standard ML and Scala. As an LCF-style theorem prover, it is based on a small logical core (kernel) to increase the trustworthiness of proofs without requiring — yet supporting — explicit proof objects.

7. List of open-source software for mathematics - Wikipedia

   en.wikipedia.org/wiki/List_of_open-source...

   This free software had an earlier incarnation, Macsyma. Developed by Massachusetts Institute of Technology in the 1960s, it was maintained by William Schelter from 1982 to 2001. In 1998, Schelter obtained permission to release Maxima as open-source software under the GNU General Public license and the source code was released later that year.