This article reviews the history of the use of computers to automate mathematical proofs. It identifies three broad strands of work: automatic theorem proving where the aim is to simulate human processes of deduction; automatic theorem proving where any resemblance to how humans deduce is considered to be irrelevant; and interactive theorem proving, where the proof is directly guided by a human being. The first strand has been underpinned by com-~itment to the goal of artificial intelligence;

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... actitioners of the sec-/ -~ ... ond strand have been drawn mainly from mathematical logic; and e third strand has been rooted primarily in the verification of computer programs and hardware 'designs.-· · IEEE