{"type":"ScholarlyArticle","title":"An Algebraic Definition of Simulation Between Programs","authors":[{"name":"Robin Milner","slug":"robin-milner","given":"Robin","family":"Milner","affiliation":""}],"abstract":"A simulation relation between programs is defined which is a quasi-ordering. Mutual simulation is then an equivalence relation, and by dividing out by it we abstract from a program such details as how the sequencing is controlled and how data is represented. The equivalence classes are approximations to the algorithms which are realized, or expressed, by their member programs. A technique is given and illustrated for proving simulation and equivalence of programs; there is an analogy with Floyd's technique for proving correctness of programs. Finally, necessary and sufficient conditions for simulation are given.","doi":null,"url":"https://ijcai.org/proceedings/1971/50","pdf":"https://ijcai.org/proceedings/1971/0050.pdf","markdown":"https://ijcai.org/proceedings/1971/50.md","bibtex":"https://ijcai.org/proceedings/1971/bibtex/50","volume":{"slug":"1971","title":"Proceedings of the Second International Joint Conference on Artificial Intelligence","short_title":"IJCAI 1971","url":"https://ijcai.org/proceedings/1971/","year":1971,"location":"London, UK","dates":"","editors":"D.C. Cooper","isbn":"","publisher":"International Joint Conferences on Artificial Intelligence","doi_prefix":""},"section":null,"track":"","number":50,"pages":{"first":481,"last":488},"keywords":[],"videos":[],"references":[],"license_note":"Copyright International Joint Conferences on Artificial Intelligence."}