{"type":"ScholarlyArticle","title":"Discovery and Reasoning in Mathematics","authors":[{"name":"Alan Bundy","slug":"alan-bundy","given":"Alan","family":"Bundy","affiliation":"Oepar•tment of Artificial Intelligence , University of Edinburgh"}],"abstract":"We discuss the automation of mathematical reasoning, s urveying the abilities displayed by human mathematicians and the computational techniques available for automating these abilities. We argue the importance of the simultaneaus study of tliese techniques, because problems inherent in one technique can often be solved if it is able to interact with others.","doi":null,"url":"https://ijcai.org/proceedings/1985/246","pdf":"https://ijcai.org/proceedings/1985/0246.pdf","markdown":"https://ijcai.org/proceedings/1985/246.md","bibtex":"https://ijcai.org/proceedings/1985/bibtex/246","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":"General","track":"General","number":246,"pages":{"first":1221,"last":1229},"keywords":[],"videos":[],"references":[{"position":1,"raw":"Biedsoe 77","title":"Biedsoe","authors":null,"year":null,"venue":"Biedsoe","doi":null,"url":null,"internal_url":null},{"position":2,"raw":"Boswell 84]","title":"Boswell","authors":null,"year":null,"venue":"Boswell","doi":null,"url":null,"internal_url":null},{"position":3,"raw":"Bibel W. Automated Theorem Proving. Friedr. Vieweg ~ Sohn, Braunschweig/Wiesbaden , 1982.","title":"Automated Theorem Proving","authors":"W Bibel","year":"1982","venue":null,"doi":null,"url":null,"internal_url":null},{"position":4,"raw":"Bledsoe, W.W. Non-Resolution theorem-prov ing. Artif\"icial Intelligence 9(1) : 1-35, August, 1977.","title":"Non-Resolution theorem-prov ing","authors":"W W Bledsoe","year":"1977","venue":"Artif\"icial Intelligence","doi":null,"url":null,"internal_url":null},{"position":5,"raw":"Boswell R.A. Further Developments to an Algebra Learning Program -A Thesis Proposal. Warking Paper 174, Dept. of Ar•tifi - cial Intelligence, Edinburgh , Oe- tobet•, 1984.","title":"Further Developments to an Algebra Learning Program -A Thesis Proposal","authors":"R A Boswell","year":"1984","venue":null,"doi":null,"url":null,"internal_url":null},{"position":6,"raw":"Boswell R.A. An Analytic Survey of\" Analytic Concept -Learning Programs.","title":"An Analytic Survey of\" Analytic Concept -Learning Programs","authors":"R A Boswell","year":null,"venue":null,"doi":null,"url":null,"internal_url":null},{"position":7,"raw":"Warking Paper, Oept. of Artificial Intell igence, Edinburgh, 1985. Forthcoming.","title":"of Artificial Intell igence","authors":"Warking Paper, Oept","year":"1985","venue":null,"doi":null,"url":null,"internal_url":null},{"position":8,"raw":"Bayer ~ Moore 79]","title":"Moore","authors":"Bayer","year":null,"venue":"Moore","doi":null,"url":null,"internal_url":null},{"position":9,"raw":"Boyer , R.S. and Moore J.S. A Computational Logic. Academic Press, 1979. ACM monograph ser•ies.","title":"A Computational Logic","authors":"R S Boyer, J S Moore","year":"1979","venue":null,"doi":null,"url":null,"internal_url":null},{"position":10,"raw":"Bundy, A. The Computer Modelfing of\" Mathemati- cal Reasoning. Academic Press , 1983.","title":"The Computer Modelfing of\" Mathematical Reasoning","authors":"A Bundy","year":"1983","venue":null,"doi":null,"url":null,"internal_url":null},{"position":11,"raw":"Earl ier version available from Edin- burgh as Occasional Paper 24.","title":"Earl ier version available from Edinburgh as","authors":null,"year":null,"venue":"Occasional Paper","doi":null,"url":null,"internal_url":null},{"position":12,"raw":"Bundy, A. Poof Analysis: A technique for Con- cept Formation. In Ross, P. (editor), Proceedings of AISB-85, pages 78-86. 1985. Also available as DAI Research Paper no. 198.","title":"Poof Analysis: A technique for Concept Formation","authors":"A Bundy","year":"1985","venue":"Proceedings of AISB-85","doi":null,"url":null,"internal_url":null},{"position":13,"raw":"Bundy t. Welham 81","title":null,"authors":"Bundy T, Welham","year":null,"venue":null,"doi":null,"url":null,"internal_url":null},{"position":14,"raw":"Bundy, A. and Welham, B. Using meta-level infGT\"ence for Sßlec- tive application of multiple rewrite rules in algebraic manipulation. Artificial Intelligence 16(2): 189-212, 1981. Also available as DAI Research Paper 121.","title":"Using meta-level infGT\"ence for Sßlective application of multiple rewrite rules in algebraic manipulation","authors":"A Bundy, B Welham","year":"1981","venue":"Artificial Intelligence","doi":null,"url":null,"internal_url":null},{"position":15,"raw":"Bundy et al 79]","title":null,"authors":"Bundy","year":null,"venue":null,"doi":null,"url":null,"internal_url":null},{"position":16,"raw":"Bundy, A., Byrd, L., Luger, G., Mellish, C., Milne, R. and Palme1•, M. Solving Mechanics Problems Using Meta-Level InferGnce.","title":"Solving Mechanics Problems Using Meta-Level InferGnce","authors":"A Bundy, L Byrd, G Luger, C Mellish, R Milne, • Palme1, M","year":null,"venue":null,"doi":null,"url":null,"internal_url":null},{"position":17,"raw":"In Buchanan, B.G. (editor). 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Presented at the conf\"erence on -formal languagß theory, Santa Barbara, 1979. Available from SRI International as technical report CSL -111.","title":"Equations and rewrite rules: a survey","authors":"G Huet, O C Oppen","year":"1979","venue":"Formal languages: perspectives and open problems","doi":null,"url":null,"internal_url":null},{"position":30,"raw":"Lakatos, I. Proofs and refutations: The logic of Mathematical discovery. Cambridge University Press, 1976.","title":"Proofs and refutations: The logic of Mathematical discovery","authors":"I Lakatos","year":"1976","venue":null,"doi":null,"url":null,"internal_url":null},{"position":31,"raw":"Lenat D.B. AM: An Artificial Intelligence ap- proac.:h to discovery in Math- ematics as Heuristic Search. In Knowledge-based systems in artifi- cial intelligence. McGraw Hili, 198?.. 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Available from Edinburgh as Research Paper 223.","title":"An Intelligent Front End for Ecological Modelling","authors":"M Uschold, N Harding, R Muetzelfeldt, A Bundy","year":"1984","venue":"Proceedings of ECAI-84","doi":null,"url":null,"internal_url":null},{"position":52,"raw":"Wallen, L.A. Towards the Provision of a Natur•at Mechanism for Expressing Domain- Specific Global Strategies in Generat Purpose Theorem-Provers. Research Paper 202 , Oept. of Artifi - cial Intelligence, Edinburgh, Sep - tember• , 1983.","title":"Towards the Provision of a Natur•at Mechanism for Expressing Domain-Specific Global Strategies in Generat Purpose Theorem-Provers","authors":"L A Wallen","year":"1983","venue":"Oept. of Artificial Intelligence","doi":null,"url":null,"internal_url":null}],"license_note":"Copyright International Joint Conferences on Artificial Intelligence."}