Interactive Theorem Prover
A class of software system that allows humans and machines to construct formal proofs collaboratively. The user enters proof steps and the system checks logical rules in real time, emphasizing human-machine cooperation.
Core Facts
Timeline (last 90 days)
Interactive theorem provers (ITPs) do not attempt to automatically discover proofs; instead, they act as judges to ensure that proof steps are logically airtight, distinguishing them from automated theorem provers (ATPs).
Lean and Coq are interactive theorem provers (ITPs) that require users to translate mathematical proofs into machine-verifiable formal languages, where every step of reasoning must conform to strict type-theoretic rules.
All Facts (2)
Lean and Coq are interactive theorem provers (ITPs) that require users to translate mathematical proofs into machine-verifiable formal languages, where every step of reasoning must conform to strict type-theoretic rules.
65%UnverifiedInteractive theorem provers (ITPs) do not attempt to automatically discover proofs; instead, they act as judges to ensure that proof steps are logically airtight, distinguishing them from automated theorem provers (ATPs).
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