Formalizing a discrete model of the continuum in Coq from a discrete geometry perspective-Reference-Cited by-同舟云学术

Formalizing a discrete model of the continuum in Coq from a discrete geometry perspective

Published:2014-10-17 Issue:3-4 Volume:74 Page:309-332
ISSN:1012-2443
Container-title:Annals of Mathematics and Artificial Intelligence
language:en
Short-container-title:Ann Math Artif Intell

Author:

Magaud Nicolas,Chollet Agathe,Fuchs Laurent

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Artificial Intelligence

Link

http://link.springer.com/content/pdf/10.1007/s10472-014-9434-6.pdf

Reference31 articles.

1. Bertot, Y., Castéran, P.: Interactive Theorem Proving and Program Development, Coq’Art: The Calculus of Inductive Constructions. Springer, Berlin Heidelberg New York (2004)

2. Bridges, D., Palmgren, E.: Constructive Mathematics. The Stanford Encyclopedia of Philosophy. available from http://plato.stanford.edu/archives/win2013/entries/mathematics-constructive/ (2013)

3. Bridges, D., Reeves, S.: Constructive mathematics, in theory and programming practice. Technical Report CDMTCS-068, Centre for Discrete Mathematics and Theorical Computer Science (1997)

4. Bridges, D.S.: Constructive mathematics: A foundation for computable analysis. Theor. Comput. Sci. 219 (1–2), 95–109 (1999)

5. Chlipala, A.: Certified programming with dependent types: A pragmatic introduction to the coq proof assistant. MIT Press, Cambridge (2013)

Cited by 3 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Some representations of real numbers using integer sequences;Mathematical Structures in Computer Science;2022-05

2. Formalization of the Poincaré Disc Model of Hyperbolic Geometry;Journal of Automated Reasoning;2020-04-30

3. Multi-scale Arithmetization of Linear Transformations;Journal of Mathematical Imaging and Vision;2018-10-17