The main ingredients underlying this approach are efficient automatic theorem provers that
can cope with hundreds of axioms, suitable translations of the proof assistant's logic to the …

Sledgehammer is a component of Isabelle/HOL that employs resolution-based first-order
automatic theorem provers (ATPs) to discharge goals arising in interactive proofs. It …

The considerable mathematical knowledge encoded by the Flyspeck project is combined
with external automated theorem provers (ATPs) and machine-learning premise selection …

One of the main success stories of automatic theorem provers has been their integration into
proof assistants. Such integrations, or" hammers," increase proof automation and hence …

Classical higher-order logic, when utilized as a meta-logic in which various other (classical
and non-classical) logics can be shallowly embedded, is suitable as a foundation for the …

Sledgehammer integrates automatic theorem provers in the proof assistant Isabelle/HOL. A
key component, the relevance filter, heuristically ranks the thousands of facts available and …

Sledgehammer integrates automatic theorem provers in the proof assistant Isabelle/HOL. A
key component, the fact selector, heuristically ranks the thousands of facts (lemmas …

The suite of datasets commonly used to train and evaluate the mathematical capabilities of
AI-based mathematical copilots (primarily large language models) exhibit several …

Most automatic theorem provers are restricted to untyped logics, and existing translations
from typed logics are bulky or unsound. Recent research proposes monotonicity as a means …

Sledgehammer is a tool that harnesses external first-order automatic theorem provers
(ATPs) to discharge interactive proof obligations arising in Isabelle/HOL. We extended it with …