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2. 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 ...

3. 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 impetus for the development of computer science .

4. Isabelle (proof assistant) - Wikipedia

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

   The Isabelle theorem prover is free software, released under the revised BSD license. Features. [edit] Isabelle is generic: it provides a meta-logic(a weak type theory), which is used to encode object logics like first-order logic(FOL), higher-order logic(HOL) or Zermelo–Fraenkel set theory(ZFC).

5. Lean (proof assistant) - Wikipedia

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

   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. It was developed primarily by Leonardo de Moura while employed by Microsoft Research and now Amazon Web Services, and has had significant contributions from other ...

6. 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 ...

7. Logic for Computable Functions - Wikipedia

   en.wikipedia.org/wiki/Logic_for_Computable_Functions

   Logic for Computable Functions ( LCF) is an interactive automated theorem prover developed at Stanford and Edinburgh by Robin Milner and collaborators in early 1970s, based on the theoretical foundation of logic of computable functions previously proposed by Dana Scott. Work on the LCF system introduced the general-purpose programming language ...

8. Jape (software) - Wikipedia

   en.wikipedia.org/wiki/Jape_(software)

   GPL-2.0 license. Jape is a configurable, graphical proof assistant, originally developed by Richard Bornat at Queen Mary, University of London and Bernard Sufrin the University of Oxford. [2] The program is available for the Mac, Unix, and Windows operating systems. It is written in the Java programming language and released under the GNU GPL .

9. ACL2 - Wikipedia

   en.wikipedia.org/wiki/ACL2

   Common Lisp, Nqthm. ACL2 ( A Computational Logic for Applicative Common Lisp) is a software system consisting of a programming language, an extensible theory in a first-order logic, and an automated theorem prover. ACL2 is designed to support automated reasoning in inductive logical theories, mostly for software and hardware verification.