Formalized Functional Analysis with Semilinear Maps

Author:

Dupuis Frédéric,Lewis Robert Y.,Macbeth Heather

Publisher

Springer Science and Business Media LLC

Reference34 articles.

1. Affeldt, R., Cohen, C., Kerjean, M., Mahboubi, A., Rouhling, D., Sakaguchi, K.: Competing inheritance paths in dependent type theory: a case study in functional analysis. In: Peltier, N., Sofronie-Stokkermans, V. (eds.) Automated Reasoning—10th International Joint Conference, IJCAR 2020, Paris, France, July 1-4, 2020, Proceedings, Part II. Lecture Notes in Computer Science, vol. 12167, pp. 3–20. Springer, Berlin (2020). https://doi.org/10.1007/978-3-030-51054-1_1

2. Affeldt, R., Cohen, C., Rouhling, D.: Formalization techniques for asymptotic reasoning in classical analysis. J. Formaliz. Reason. 11(1), 43–76 (2018). https://doi.org/10.6092/issn.1972-5787/8124

3. Afshar, S.K., Aravantinos, V., Hasan, O., Tahar, S.: Formalization of complex vectors in higher-order logic. In: Watt, S.M., Davenport, J.H., Sexton, A.P., Sojka, P., Urban, J. (eds.) Intelligent Computer Mathematics - International Conference, CICM 2014, Coimbra, Portugal, July 7-11, 2014. Proceedings. Lecture Notes in Computer Science, vol. 8543, pp. 123–137. Springer, Berlin (2014). https://doi.org/10.1007/978-3-319-08434-3_10

4. Aransay, J., Divasón, J.: Generalizing a mathematical analysis library in Isabelle/HOL. In: Havelund, K., Holzmann, G.J., Joshi, R. (eds.) NASA Formal Methods—7th International Symposium, NFM 2015, Pasadena, CA, USA, April 27-29, 2015, Proceedings. Lecture Notes in Computer Science, vol. 9058, pp. 415–421. Springer, Berlin (2015). https://doi.org/10.1007/978-3-319-17524-9_30

5. Aransay, J., Divasón, J.: A formalisation in HOL of the fundamental theorem of linear algebra and its application to the solution of the least squares problem. J. Autom. Reason. 58(4), 509–535 (2017). https://doi.org/10.1007/s10817-016-9379-z

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