{"type":"ScholarlyArticle","title":"Automated Theory Formation in Mathematics","authors":[{"name":"Douglas B. Lenat","slug":"douglas-b-lenat","given":"Douglas B.","family":"Lenat","affiliation":""}],"abstract":"1\\ l'rn l ',nlln c<~lled \"/\\M\" i <.; ti <\":;crihed wl1i< h carri<~s on r.imple n1idhetn<~lics rt• searc h: definin g and s tud ying n ew concepts umkr the g uidan ce of a lnr ge hody of hruri r. li c rules. The ? '-,() hPuri ~' lit s comtnunic;,lp v ia il l1 <tg<'nda mechilnism, a p, lob<il priorit y queue of sm;;~l l l;1 s k ~; for llw pro gram to pc rfot tn ;1nd rPa sons why e<lch li1 sl•, i <.. plau ~.ib le (r .g., ''Vin•l f~t·tu • ralizali.on!=: rtf ~ prim f·~', lw cau ..;.; 4' 'prime s' 111rnr.d nul 1.o be s o usdul a ''\"'\"'<'1'1\"). Each conrept is an active, s tructured knowledge module. One hundred very incomplete modules \"\"\" initially <.; uppliRd, e<1ch one wrre spondin g to an e lement ilry se l - l heoret ic concep t (q?;., union). This provides a definite but immense s p<Ke which AM begins to 0xp lore. In one hottr, AM r e di ~; covers hundr f' ds of common conce pts (including singleton sets, n<~lural numbers, <1rilhmcl ic} <~nd th eorems (e.g., unique factorization).","doi":null,"url":"https://ijcai.org/proceedings/1977/198","pdf":"https://ijcai.org/proceedings/1977/0198.pdf","markdown":"https://ijcai.org/proceedings/1977/198.md","bibtex":"https://ijcai.org/proceedings/1977/bibtex/198","volume":{"slug":"1977","title":"Proceedings of the Fifth International Joint Conference on Artificial Intelligence","short_title":"IJCAI 1977","url":"https://ijcai.org/proceedings/1977/","year":1977,"location":"Cambridge, MA, USA","dates":"","editors":"Raj Reddy","isbn":"","publisher":"International Joint Conferences on Artificial Intelligence","doi_prefix":""},"section":"Specialized Systems","track":"Specialized Systems","number":198,"pages":{"first":833,"last":841},"keywords":[],"videos":[],"references":[],"license_note":"Copyright International Joint Conferences on Artificial Intelligence."}