{"type":"ScholarlyArticle","title":"Trivializing the Proof of Trivial Theorems","authors":[{"name":"Yves Kodratoff","slug":"yves-kodratoff","given":"Yves","family":"Kodratoff","affiliation":"LRI , Bat. 490 -"},{"name":"Jacqueline Castaing","slug":"jacqueline-castaing","given":"Jacqueline","family":"Castaing","affiliation":"LRI , Bat. 490 -; Universite de Paris-Sud - F . 91405 ORSAY CEDEX"}],"abstract":"Besides a definition of \"trivial\" theorem, this paper presents a sketch of our methodology for the generalization of recurrence proofs on \"trivial\" theorems but that lead, in a context ofautomatic theorem proving, to very length y (or even impossible to achieve) proofs. This paper reduces to a description of a detailed example, we hope to make clear that our methodology is of a much wider field of application.","doi":null,"url":"https://ijcai.org/proceedings/1983/219","pdf":"https://ijcai.org/proceedings/1983/0219.pdf","markdown":"https://ijcai.org/proceedings/1983/219.md","bibtex":"https://ijcai.org/proceedings/1983/bibtex/219","volume":{"slug":"1983","title":"Proceedings of the Eighth International Joint Conference on Artificial Intelligence","short_title":"IJCAI 1983","url":"https://ijcai.org/proceedings/1983/","year":1983,"location":"Karlsruhe, West Germany","dates":"","editors":"Alan Bundy","isbn":"","publisher":"International Joint Conferences on Artificial Intelligence","doi_prefix":""},"section":"Theorem Proving","track":"Theorem Proving","number":219,"pages":{"first":930,"last":931},"keywords":[],"videos":[],"references":[{"position":1,"raw":"Burstall R., \"Proving properties of programs by structural induction\". Computer J .. 12 (I) (1969) 41-48.","title":"Proving properties of programs by structural induction","authors":"R Burstall","year":"1969","venue":"Computer J","doi":null,"url":null,"internal_url":null},{"position":2,"raw":"Aubin R., \"Mechanizing structural induction\". Ph. D. Thesis. Univ. Edinburgh (1976).","title":"Mechanizing structural induction","authors":"R Aubin","year":"1976","venue":null,"doi":null,"url":null,"internal_url":null},{"position":3,"raw":"Boyer R.S. and J S. Moore, \"A computational logic\". Academic Press (1980).","title":"A computational logic","authors":"R S Boyer, J S Moore","year":"1980","venue":null,"doi":null,"url":null,"internal_url":null},{"position":4,"raw":"Castaing J., Y. Kodratoff and P. Degano, \"Theorem proving by the study of example proof traces\". Proc. Int. Workshop in Program Cons- truction Banas, (1980).","title":"Theorem proving by the study of example proof traces","authors":"J Castaing, Y Kodratoff, P Degano","year":"1980","venue":"Proc. Int. Workshop in Program Construction Banas","doi":null,"url":null,"internal_url":null},{"position":5,"raw":"Casta ing J. andY. Kodratoff, \"Generalisation de theoremes\". Actes reunion GROSSEM , Poitiers (1980)' 141-166.","title":"Generalisation de theoremes","authors":"Casta Ing, J Andy Kodratoff","year":"1980","venue":"Actes reunion GROSSEM","doi":null,"url":null,"internal_url":null},{"position":6,"raw":"Degan a P. , J. Cas taing and Y. Kodratoff, \"In- ductive hypothesis extracted from proof trace~ Atti AICA 80, 114-116.","title":"Inductive hypothesis extracted from proof trace~","authors":"P Degan, J Cas, Y Kodratoff","year":null,"venue":"Atti AICA","doi":null,"url":null,"internal_url":null},{"position":7,"raw":"Degano P. and F. Sirovich, \"Inducting function properties from computation traces\". IJCAI-79, 208-216 and \"Inductive generalization and proofs of function properties\", Camp. Ling. (1979), 13, 101-130.","title":"IJCAI-79, 208-216 and \"Inductive generalization and proofs of function properties","authors":"P Degano, F Sirovich","year":"1979","venue":"Camp. Ling","doi":null,"url":null,"internal_url":null}],"license_note":"Copyright International Joint Conferences on Artificial Intelligence."}