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Formalization coverage.

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#ai1#theorem-proving1#lean-41#grasshopper-problem1#mean-field1#derivation1#vlasov1#equation1
ARXIV.ORG

A Formalization of the Mean-Field Derivation of the Vlasov Equation: AI-Assisted Lean Formalization as a Strategy Game

arXiv:2607.08986v1 Announce Type: new Abstract: We formalize a research result in the Lean 4 proof assistant by having a mathematician direct an AI system, and frame the activity a…

21 views ·
#mean-field#derivation
ARXIV CS.AI

Progressive Autonomy as Preference Learning: A Formalization of Trust Calibration for Agentic Tool Use

We formalize trust calibration for agentic tool use (deciding when an automated agent's proposed action may execute autonomously versus require human approval) as a preference-lear…

40 views ·
#artificial intelligence#human-computer interaction#preference learning
ARXIV CS.AI

Using Aristotle API for AI-Assisted Theorem Proving in Lean 4: A Formalisation Case Study of the Grasshopper Problem

AI-assisted theorem proving can now generate substantial Lean developments for olympiad-level mathematics, but the evidential status of such developments depends on which declarati…

22 views ·
#artificial intelligence#theorem proving#lean 4
ARXIV CS.AI

From LLM-Generated Conjectures to Lean Formalizations: Automated Polynomial Inequality Proving via Sum-of-Squares Certificates

Automated proving of polynomial inequalities is a fundamental challenge in automated mathematical reasoning, where rich algebraic structure and a rapidly growing certificate search…

30 views ·
#artificial intelligence#mathematics#polynomial inequalities