Simple Type Theory is not too Simple: Grothendieck’s Schemes Without Dependent Types-Reference-Cited by-同舟云学术

Simple Type Theory is not too Simple: Grothendieck’s Schemes Without Dependent Types

Published:2022-04-03 Issue:2 Volume:31 Page:364-382
ISSN:1058-6458
Container-title:Experimental Mathematics
language:en
Short-container-title:Experimental Mathematics

Author:

Bordg Anthony¹^ORCID,Paulson Lawrence¹^ORCID,Li Wenda¹^ORCID

Affiliation:

1. University of Cambridge, Cambridge, UK

Funder

ALEXANDRIA

Publisher

Informa UK Limited

Subject

General Mathematics

Link

https://www.tandfonline.com/doi/pdf/10.1080/10586458.2022.2062073

Reference24 articles.

1. Interpretation of Locales in Isabelle: Theories and Proof Contexts

2. Locales: A Module System for Mathematical Theories

3. Exploring the Structure of an Algebra Text with Locales

4. Coquelicot: A User-Friendly Library of Real Analysis for Coq

5. Bordg, A., Paulson, L., Li, W. (2021). Grothendieck’s schemes in algebraic geometry. Archive of Formal Proofs, March 2021. Available at https://isa-afp.org/entries/Grothendieck_Schemes.html, Formal proof development.

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1. A Formalization of the CHSH Inequality and Tsirelson’s Upper-bound in Isabelle/HOL;Journal of Automated Reasoning;2023-12-19

2. A Formalisation of the Balog–Szemerédi–Gowers Theorem in Isabelle/HOL;Proceedings of the 12th ACM SIGPLAN International Conference on Certified Programs and Proofs;2023-01-11

3. Encoding Dependently-Typed Constructions into Simple Type Theory;Proceedings of the 12th ACM SIGPLAN International Conference on Certified Programs and Proofs;2023-01-11

4. Large-Scale Formal Proof for the Working Mathematician—Lessons Learnt from the ALEXANDRIA Project;Lecture Notes in Computer Science;2023