{"type":"ScholarlyArticle","title":"A Mechanization of Type Theory","authors":[{"name":"Gérard P. Huet","slug":"gerard-p-huet","given":"Gérard P.","family":"Huet","affiliation":""}],"abstract":"A refutational system of lo gi c for a l a nguage of orde r w is presented . This langage :i.s a s li ght modif i ca t i on of Church 1 s A-calculus wi th types . The system i s comp lete , in the sense th at a refutation of a set of sentences exists i f and on l y if this set does not possess a general Henk in mode l . Th e main rul e of i nference is a generalizat ion of Robi nson ' s resol u t io n to typ e theo ry , which all ows us to get ri d of the substitut i on r ule.","doi":null,"url":"https://ijcai.org/proceedings/1973/19","pdf":"https://ijcai.org/proceedings/1973/0019.pdf","markdown":"https://ijcai.org/proceedings/1973/19.md","bibtex":"https://ijcai.org/proceedings/1973/bibtex/19","volume":{"slug":"1973","title":"Proceedings of the Third International Joint Conference on Artificial Intelligence","short_title":"IJCAI 1973","url":"https://ijcai.org/proceedings/1973/","year":1973,"location":"Stanford, California, USA","dates":"20-23 August 1973","editors":"Nils J. Nilsson","isbn":"","publisher":"International Joint Conferences on Artificial Intelligence","doi_prefix":""},"section":"Theorem Proving and Logic: 2","track":"Theorem Proving and Logic: 2","number":19,"pages":{"first":139,"last":145},"keywords":[],"videos":[],"references":[],"license_note":"Copyright International Joint Conferences on Artificial Intelligence."}