Proof assistant
A software system with a built-in formal logic kernel in which users write definitions and proofs in the system's dedicated language; the kernel checks each step of reasoning for validity and does not itself construct proofs.
Timeline (last 90 days)
Proof assistants differ from automated theorem provers (such as SAT/SMT solvers): a proof assistant is not responsible for "coming up with" a proof, only for "checking" it; the construction of the proof is still done by humans or AI.
If in the future AI can directly output formal proofs that pass verification by proof assistants, the cycle from claim to consensus will be greatly shortened.
Proof assistants are software systems that support formal mathematics, with common representatives including Lean, Coq, Isabelle/HOL, Agda and others.
Libraries between different proof assistants are usually not directly interchangeable, because their underlying logic, type systems, and syntax differ.
All Facts (4)
Proof assistants differ from automated theorem provers (such as SAT/SMT solvers): a proof assistant is not responsible for "coming up with" a proof, only for "checking" it; the construction of the proof is still done by humans or AI.
50%UnverifiedProof assistants are software systems that support formal mathematics, with common representatives including Lean, Coq, Isabelle/HOL, Agda and others.
50%UnverifiedLibraries between different proof assistants are usually not directly interchangeable, because their underlying logic, type systems, and syntax differ.
50%UnverifiedIf in the future AI can directly output formal proofs that pass verification by proof assistants, the cycle from claim to consensus will be greatly shortened.
50%