A Formalisation of the Balog–Szemerédi–Gowers Theorem in Isabelle/HOL

Author:

Koutsoukou-Argyraki Angeliki1,Bakšys Mantas1,Edmonds Chelsea1

Affiliation:

1. University of Cambridge, UK

Funder

European Research Council

Cambridge Trust

Cambridge Mathematics Placements Programme

University of Cambridge Department of Computer Science and Technology

Publisher

ACM

Reference41 articles.

1. Noga Alon and Joel H . Spencer . 2016 . The Probabilistic Method (4th ed.). Wiley , Hoboken, N.J. isbn:1119061954 Noga Alon and Joel H. Spencer. 2016. The Probabilistic Method (4th ed.). Wiley, Hoboken, N.J. isbn:1119061954

2. Mantas Bakšys and Angeliki Koutsoukou-Argyraki. 2022. Kneser’s Theorem and the Cauchy–Davenport Theorem. Archive of Formal Proofs November issn:2150-914x https://isa-afp.org/entries/Kneser_Cauchy_Davenport.html Mantas Bakšys and Angeliki Koutsoukou-Argyraki. 2022. Kneser’s Theorem and the Cauchy–Davenport Theorem. Archive of Formal Proofs November issn:2150-914x https://isa-afp.org/entries/Kneser_Cauchy_Davenport.html

3. Clemens Ballarin . 2010. Tutorial to Locales and Locale Interpretation . In Contribuciones Científicas en Honor de Mirian Andrés Gómez . University of Rioja , 123–140. Online at https://dialnet.unirioja.es/servlet/articulo?codigo=3216664 Clemens Ballarin. 2010. Tutorial to Locales and Locale Interpretation. In Contribuciones Científicas en Honor de Mirian Andrés Gómez. University of Rioja, 123–140. Online at https://dialnet.unirioja.es/servlet/articulo?codigo=3216664

4. Clemens Ballarin. 2019. A Case Study in Basic Algebra. Archive of Formal Proofs August issn:2150-914x https://isa-afp.org/entries/Jacobson_Basic_Algebra.html Clemens Ballarin. 2019. A Case Study in Basic Algebra. Archive of Formal Proofs August issn:2150-914x https://isa-afp.org/entries/Jacobson_Basic_Algebra.html

5. Exploring the Structure of an Algebra Text with Locales

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1. Formal Probabilistic Methods for Combinatorial Structures using the Lovász Local Lemma;Proceedings of the 13th ACM SIGPLAN International Conference on Certified Programs and Proofs;2024-01-09

2. Isabelle Formalisation of Original Representation Theorems;Lecture Notes in Computer Science;2023

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

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