novelty-detection

PriorProof introduces a method to measure the novelty of proof techniques in formal mathematics by analyzing the dependency footprint of Lean proof terms against a prior built from an earlier snapshot of Mathlib. The method agrees with human raters on 69.7% of pairs and provides interpretable score gaps.

SAGE proposes a novelty gate for memory evolution in agentic LLMs, using a von Mises-Fisher-based density estimator to decide whether to add, merge, or ignore new facts, reducing LLM calls while maintaining memory quality.