Introducing DreamProver to Enhance Theorem Proving

DreamProver is an innovative agentic framework designed for formal theorem proving. It utilizes a two-stage wake-sleep program induction paradigm to discover and refine reusable lemmas, addressing limitations of fixed lemma libraries and overly specific intermediate lemmas. The framework operates through an iterative process, where the wake stage proves theorems and proposes new candidate lemmas, followed by a sleep stage that abstracts and compresses these candidates to optimize the library.