Fetching the paper…
Reading the bibliography…
This is the first paper in a series of work we have accomplished over the past three years.
Gelernter, H.L.: Realization of a geometry theorem proving machine. In: IFIP congress. pp. 273–281 (1959)
1959
Earlier work this paper cites.
Collins, G.E.: Quantifier elimination for real closed fields by cylindrical algebraic decomposition–preliminary report. ACM SIGSAM Bulletin 8
1974
Earlier work this paper cites.
Nevins, A.J.: Plane geometry theorem proving using forward chaining. Artificial Intelligence 6
1975
Earlier work this paper cites.
Wu, W.T.: On the decision problem and the mechanization of theorem proving in elementary geometry. Scientia Sinica 21
1978
Earlier work this paper cites.
Buchberger, B.: Applications of gröbner bases in non-linear computational geometry. Mathematical aspects of scientific software pp. 59–87 (1988)
1988
Earlier work this paper cites.
Yang, L., Zhang, J., Li, C.: A prover for parallel numerical verification of a class of constructive geometry theorems. In: Proc. IWMM. vol. 92, pp. 244–250 (1992)
1992
Earlier work this paper cites.
Chou, S.C., Gao, X.S., Zhang, J.Z.: Automated geometry theorem proving by vector calculation. In: Proceedings of the 1993 international symposium on Symbolic and algebraic computation. pp. 284–291 (1993)
1993
Earlier work this paper cites.
Gao, X.S., Chou, S.C.: On the dimension of an arbitrary ascending chain. CHINESE SCIENCE BULLETIN-ENGLISH EDITION- 38
1993
Earlier work this paper cites.
Chou, S.C., Gao, X.S., Zhang, J.Z.: A collection of 110 geometry theorems and their machine produced proofs using full-angles. Washington State University, Washington (1994)
1994
Earlier work this paper cites.
Chou, S.C., Gao, X.S., Zhang, J.Z.: Automated production of traditional proofs in solid geometry. Journal of Automated Reasoning 14
1995
Earlier work this paper cites.
Zhang, J.Z., Chou, S.C., Gao, X.S.: Automated production of traditional proofs for theorems in euclidean geometry i. the hilbert intersection point theorems. Annals of Mathematics and Artificial Intelligence 13
1995
Earlier work this paper cites.
Chou, S.C., Gao, X.S., Zhang, J.Z.: An introduction to geometry expert. In: CADE. vol. 1104, pp. 235–239 (1996)
1996
Earlier work this paper cites.
Yang, L., Gao, X.S., Chou, S.C., Zhang, J.Z.: Automated production of readable proofs for theorems in non-euclidean geometries. In: Automated Deduction in Geometry: International Workshop on Automated Deduction in Geometry Toulouse, France, September 27–29, 1996 Selected Papers 1. pp. 171–188. Springer (1997)
1997
Earlier work this paper cites.
Lu, Y.: Practical automated reasoning on inequalities: Generic programs for inequality proving and discovering. Proceedings of the Third Asian Technology Confer ence in Mathematics. Tsukuba, Japan pp. 24–35 (1998)
1998
Earlier work this paper cites.
Li, H.: Symbolic computation in the homogeneous geometric model with clifford algebra. In: Proceedings of the 2004 international symposium on Symbolic and algebraic computation. pp. 221–228 (2004)
2004
Earlier work this paper cites.
Wang, D.: Geother: A geometry theorem prover. In: Automated Deduction—Cade-13: 13th International Conference on Automated Deduction New Brunswick, NJ, USA, July 30–August 3, 1996 Proceedings. pp. 166–170. Springer (2005)
2005
Earlier work this paper cites.
Wilson, S., Fleuriot, J.D.: Geometry explorer: A tool for generating diagrammatic full-angle method proofs. In: Automated deduction in geometry: extended abstracts. pp. 144–150 (2006)
2006
Earlier work this paper cites.
Jingzhong, Z., Yongbin, L.: Automatic theorem proving for three decades. Journal of Systems Science and Mathematical Sciences 29
2009
Earlier work this paper cites.
Ye, Z., Chou, S.C., Gao, X.S.: An introduction to java geometry expert. In: Automated Deduction in Geometry: 7th International Workshop, ADG 2008, Shanghai, China, September 22-24, 2008. Revised Papers 7. pp. 189–195. Springer (2011)
2011
Earlier work this paper cites.
Alvin, C., Gulwani, S., Majumdar, R., Mukhopadhyay, S.: Synthesis of geometry proof problems. In: Proceedings of the AAAI Conference on Artificial Intelligence. vol. 28 (2014)
2014
Earlier work this paper cites.
Seo, M.J., Hajishirzi, H., Farhadi, A., Etzioni, O.: Diagram understanding in geometry questions. In: Proceedings of the AAAI Conference on Artificial Intelligence. vol. 28 (2014)
2014
Earlier work this paper cites.
Seo, M., Hajishirzi, H., Farhadi, A., Etzioni, O., Malcolm, C.: Solving geometry problems: Combining text and diagram interpretation. In: Proceedings of the 2015 conference on empirical methods in natural language processing. pp. 1466–1476 (2015)
2015
Cited alongside, same era.
Zhong, X., Fu, H., Yu, Y., Liu, Y.: Interactive learning environment based on knowledge network of geometry problems. In: 2015 10th International Conference on Computer Science & Education (ICCSE). pp. 53–58. IEEE (2015)
2015
Cited alongside, same era.
Alvin, C., Gulwani, S., Majumdar, R., Mukhopadhyay, S.: Synthesis of solutions for shaded area geometry problems. In: The Thirtieth International Flairs Conference (2017)
2017
Cited alongside, same era.
Sachan, M., Dubey, K., Xing, E.: From textbooks to knowledge: A case study in harvesting axiomatic knowledge from textbooks to solve geometry problems. In: Proceedings of the 2017 Conference on Empirical Methods in Natural Language Processing. pp. 773–784 (2017)
2017
Hao, Y., Zhang, M., Yin, F., Huang, L.L.: Pgdp5k: A diagram parsing dataset for plane geometry problems. In: 2022 26th International Conference on Pattern Recognition (ICPR). pp. 1763–1769. IEEE (2022)
2022
Later among the works it cites.
Huang, L., Yu, X., He, B.: A novel geometry problem understanding method based on uniform vectorized syntax-semantics model. In: 2022 International Conference on Intelligent Education and Intelligent Research (IEIR). pp. 78–85. IEEE (2022)
2022
Later among the works it cites.
Jiang, A.Q., Li, W., Tworkowski, S., Czechowski, K., Odrzygóźdź, T., Miłoś, P., Wu, Y., Jamnik, M.: Thor: Wielding hammers to integrate language models and automated theorem provers. Advances in Neural Information Processing Systems 35
2022
Later among the works it cites.
Jiang, A.Q., Welleck, S., Zhou, J.P., Lacroix, T., Liu, J., Li, W., Jamnik, M., Lample, G., Wu, Y.: Draft, sketch, and prove: Guiding formal theorem provers with informal proofs. In: The Eleventh International Conference on Learning Representations (2022)
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
Cited alongside, same era.
Sachan, M., Xing, E.: Learning to solve geometry problems from natural language demonstrations in textbooks. In: Proceedings of the 6th Joint Conference on Lexical and Computational Semantics ( SEM 2017). pp. 251–261 (2017)
2017
Cited alongside, same era.
Yu, X., Gan, W., Wang, M.: Understanding explicit arithmetic word problems and explicit plane geometry problems using syntax-semantics models. In: 2017 International Conference on Asian Language Processing (IALP). pp. 247–251. IEEE (2017)
2017
Cited alongside, same era.
Gan, W., Yu, X.: Automatic understanding and formalization of natural language geometry problems using syntax-semantics models. International Journal of Innovative Computing, Information and Control 14
2018
Cited alongside, same era.
Daniel, S., Leonardo, d.M., Kevin, B., Reid, B., Percy, L., Sarah, L., Freek, W.: Imo grand challenge (2019), https://imo-grand-challenge.github.io/
2019
Cited alongside, same era.
Gan, W., Yu, X., Zhang, T., Wang, M.: Automatically proving plane geometry theorems stated by text and diagram. International Journal of Pattern Recognition and Artificial Intelligence 33
2019
Cited alongside, same era.
Yu, X., Wang, M., Gan, W., He, B., Ye, N.: A framework for solving explicit arithmetic word problems and proving plane geometry theorems. International Journal of Pattern Recognition and Artificial Intelligence 33
2019
Cited alongside, same era.
Sachan, M., Dubey, A., Hovy, E.H., Mitchell, T.M., Roth, D., Xing, E.P.: Discourse in multimedia: A case study in extracting geometry knowledge from textbooks. Computational Linguistics 45
2020
Cited alongside, same era.
Chen, J., Tang, J., Qin, J., Liang, X., Liu, L., Xing, E., Lin, L.: Geoqa: A geometric question answering benchmark towards multimodal numerical reasoning. In: Findings of the Association for Computational Linguistics: ACL-IJCNLP 2021. pp. 513–523 (2021)
2021
Cited alongside, same era.
2022
Later among the works it cites.
2022
Later among the works it cites.
Lample, G., Lacroix, T., Lachaux, M.A., Rodriguez, A., Hayat, A., Lavril, T., Ebner, G., Martinet, X.: Hypertree proof search for neural theorem proving. Advances in Neural Information Processing Systems 35
2022
Later among the works it cites.
2022
Later among the works it cites.
Polu, S., Han, J.M., Zheng, K., Baksys, M., Babuschkin, I., Sutskever, I.: Formal mathematics statement curriculum learning. In: The Eleventh International Conference on Learning Representations (2022)
2022
Later among the works it cites.
Rao, Y., Xie, L., Guan, H., Li, J., Zhou, Q.: A method for expanding predicates and rules in automated geometry reasoning system. Mathematics 10
2022
Later among the works it cites.
Wong, M.F., Qi, X., Tan, C.W.: Euclidnet: Deep visual reasoning for constructible problems in geometry. In: 2nd MATH-AI Workshop at NeurIPS’22: Toward Human-Level Mathematical Reasoning (2022)
2022
Later among the works it cites.
Wu, Y., Jiang, A.Q., Li, W., Rabe, M., Staats, C., Jamnik, M., Szegedy, C.: Autoformalization with large language models. Advances in Neural Information Processing Systems 35
2022
Later among the works it cites.
Zhang, M.L., Yin, F., Hao, Y.H., Liu, C.L.: Plane geometry diagram parsing. In: Raedt, L.D. (ed.) Proceedings of the Thirty-First International Joint Conference on Artificial Intelligence, IJCAI-22. pp. 1636–1643. International Joint Conferences on Artificial Intelligence Organization (7 2022). https://doi.org/10.24963/ijcai.2022/228, https://doi.org/10.24963/ijcai.2022/228 , main Track
2022
Later among the works it cites.
Zheng, K., Han, J.M., Polu, S.: minif2f: a cross-system benchmark for formal olympiad-level mathematics. In: International Conference on Learning Representations (2022)
2022
Later among the works it cites.
Zhou, W., Xu, R., Guan, H., Zhao, J., Rao, Y.: Research on geometry problem text understanding based on bidirectional lstm-crf. In: 2022 9th International Conference on Digital Home (ICDH). pp. 121–127. IEEE (2022)
2022
Later among the works it cites.
Jian, P., Guo, F., Wang, Y., Li, Y.: Solving geometry problems via feature learning and contrastive learning of multimodal data. CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES 136
2023
Closest in time.
2023
Closest in time.
Ning, M., Wang, Q.F., Huang, K., Huang, X.: A symbolic character-aware model for solving geometry problems (2023)
2023
Closest in time.
Peng, S., Fu, D., Liang, Y., Gao, L., Tang, Z.: Geodrl: A self-learning framework for geometry problem solving using reinforcement learning in deductive reasoning. In: Findings of the Association for Computational Linguistics: ACL 2023. pp. 13468–13480 (2023)
2023
Closest in time.
XTXMarkets: Artificial intelligence mathematical olympiad prize (aimo prize) (2023), https://aimoprize.com/
2023
Closest in time.