{"type":"ScholarlyArticle","title":"A Many-Sorted Calculus with Polymorphic Functions Based on Resolution and Paramodulation","authors":[{"name":"Manfred Schmidt-Schauß","slug":"manfred-schmidt-schau","given":"Manfred","family":"Schmidt-Schauß","affiliation":""}],"abstract":"A m~t~Y-tor1ed firll ord« calculUI, c:aUtd I:RP [Wa83] . whoee weU rormed rorau&u are typed clauses and wbose lnference rulea are faclcltiatioft. resolution, paramodulation and wea.teain& is extended to a many lOtted calculus EJtP• witb polymorphic funcüons (overloacfula) . lt il assumed tbat tbe l<l't structure is a f.iftite partialty ordered Mt witb a areatest element. It is sbown, tbat this extended calculus is sound and compJete, provided tbe runctioall reflelivity alioas are prnent. It il also sbown, tbat unification ct term1 containing polymorpbic functions is in &eftefal finitary, i.e. tbe set d most aeneral unifiers may contain more tban one element, but at most finitely many. We give a natural condition for tbe sianature (the sort structure ). sucb tbat the set of most leftefal uniliera is a.tways at most a singleton provided tbis conditioft bolds.","doi":null,"url":"https://ijcai.org/proceedings/1985/236","pdf":"https://ijcai.org/proceedings/1985/0236.pdf","markdown":"https://ijcai.org/proceedings/1985/236.md","bibtex":"https://ijcai.org/proceedings/1985/bibtex/236","volume":{"slug":"1985","title":"Proceedings of the Ninth International Joint Conference on Artificial Intelligence","short_title":"IJCAI 1985","url":"https://ijcai.org/proceedings/1985/","year":1985,"location":"Los Angeles, California, USA","dates":"","editors":"Aravind Joshi","isbn":"","publisher":"International Joint Conferences on Artificial Intelligence","doi_prefix":""},"section":"Theorem Proving","track":"Theorem Proving","number":236,"pages":{"first":1162,"last":1167},"keywords":[],"videos":[],"references":[],"license_note":"Copyright International Joint Conferences on Artificial Intelligence."}