Although Lean 4's type theory is the same as Lean 3's type theory, it currently lacks the mathematical infrastructure needed for this project. Our formalisation could not have even started without a major classical mathematical library backing it up, and so we chose Lean 3 as the engine behind the project. ![]() Lean is a project being developed at Microsoft Research by Leonardo de Moura and his team. The formal system which we are using as a target system is Lean's dependent type theory. The main "source" definitions, theorems and proofs in this repository are all taken from Scholze's Bonn lecture notes Analytic.pdf explaining some of his work with Clausen on the theory of solid and liquid modules, and on their development of a new approach to certain proofs in complex analytic geometry. Digitisation, or formalisation, is a process where the source material, typically a mathematical textbook or a pdf file or website or video, is transformed into definitions in a target system consisting of a computer implementation of a logical theory (such as set theory or type theory). The main aim of this community-owned repository is to digitise some mathematical definitions, theorem statements and theorem proofs. This ensures that Java is installed correctly and that no components are missing.For the eponymous blogpost by Peter Scholze which started it all: see.
0 Comments
Leave a Reply. |
AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |