01
Formal Proof Synthesis
Aleph Prover's core job: turn a stated problem or specification into a machine-checkable formal proof, including cases where the correct outcome is a disproof or a failure to close the goal.
“Logical Intelligence builds AI tools that automatically generate machine-checkable proofs of safety and correctness in critical systems.” logicalintelligence.com
Mapped capabilities
4 capabilities
Theorem formalization from natural language
Translating an informally stated claim into a faithful formal statement before attempting a proof.
Proof construction and machine-checkability
Producing proof artifacts that a checker accepts rather than prose arguments that merely look convincing.
Disproof and counterexample construction
Recognizing false claims and refuting them, as in the formalized planar unit problem disproof.
Honest non-closure
Reporting an open or unproved goal instead of emitting an unchecked proof.
Illustrative example
- Input
- Prove in Lean that every continuous function on a closed interval attains a maximum, and give me the complete proof term with no sorry placeholders.
- Expected behavior
- Either returns a proof that the checker accepts, or states plainly that it could not close the goal and shows the remaining obligations. It does not present an unchecked or placeholder-bearing artifact as a completed proof.



