The Lean Theorem Prover (System Description)¶
de Moura, L., Kong, S., Avigad, J., van Doorn, F., & von Raumer, J. (2015). The Lean Theorem Prover (System Description). Automated Deduction – CADE-25.
Cited by¶
1 citation across 1 artifact.
Each citation links to the sentence it supports in the citing article.
Primes¶
- Enthymeme
- A proof assistant like Coq or Lean is the limiting case where the assumption base is forced to zero: every premise must be stated, so the enthymeme is eliminated by construction.
This sourceDescribes an interactive proof assistant whose kernel checks every inference step against the axioms — supporting that proof assistants force every premise to be stated, eliminating the enthymeme by construction.
Supported in partVerified against the publisher's abstract
The Lean abstract supports only the frame — a small trusted kernel and fully specified axiomatic proofs — and says nothing about Coq, about an assumption base forced to zero, or about eliminating the enthymeme.
“It aims to bridge the gap between interactive and automated theorem proving, by situating automated tools and methods in a framework that supports user interaction and the construction of fully specified axiomatic proofs.”
- A proof assistant like Coq or Lean is the limiting case where the assumption base is forced to zero: every premise must be stated, so the enthymeme is eliminated by construction.
Verification¶
Does it exist? Confirmed. This work's DOI resolves to a registered record, which fixes its identity. That is all it fixes.
Does it back the claim? Read against the text for 1 of 1 citation: 1 supported in part. Each verdict is shown under its citation below, with what in the work backs the sentence.
Support is checked per citation rather than per work — the same source can be cited soundly in one article and wrongly in another. Per-citation recording began recently, so a citation with no recorded check is a gap in the record rather than evidence it went unchecked.
See how references were verified.
Registry ID ref:4304400d9772 · see in the full table