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%252C+as+formal+proofs+can+be+checked+rigorously+by+proof+assistants+such+as+Lean%252C+leaving+no+room+for+hallucination.+Existing+LLM-based+provers+try+to+prove+theorems+in+a+fully+autonomous+mode+without+human+intervention.+In+this+mode%252C+they+struggle+with+novel+and+challenging+theorems%252C+for+which+human+insights+may+be+critical.+In+this+paper%252C+we+explore+LLMs+as+copilots+that+assist+humans+in+proving+theorems.+We+introduce+Lean+Copilot%252C+a+framework+for+running+LLM+inference+in+Lean.+It+enables+programmers+to+build+various+LLM-based+proof+automation+tools+that+integrate+seamlessly+into+the+workflow+of+Lean+users.+Using+Lean+Copilot%252C+we+build+tools+for+suggesting+proof+steps+(tactic+suggestion)%252C+completing+intermediate+proof+goals+(proof+search)%252C+and+selecting+relevant+premises+(premise+selection)+using+LLMs.+Users+can+use+our+pretrained+models+or+bring+their+own+ones+that+run+either+locally+(with+or+without+GPUs)+or+on+the+cloud.+Experimental+results+demonstrate+the+effectiveness+of+our+method+in+assisting+humans+and+automating+theorem+proving+process+compared+to+existing+rule-based+proof+automation+in+Lean.+We+open+source+all+codes+under+a+permissive+MIT+license+to+facilitate+further+research.&cdnurl=https%3a%2f%2fth.bing.com%2fth%2fid%2fR.0a993b15139bab9449ebb315c5713067%3frik%3dcuS3pAOVPvVUjA%26pid%3dImgRaw%26r%3d0&exph=630&expw=1200&q=Co-Pilot+Large+Language+Model&FORM=IRPRST&ck=8795E6B0E28B4D0B0C3D06AAD965AC01&selectedIndex=33&itb=0)
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