Joshua Potter
c5e28d252f
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| Bookshelf | ||
| Common | ||
| .env | ||
| .gitignore | ||
| Bookshelf.lean | ||
| Common.lean | ||
| README.md | ||
| lake-manifest.json | ||
| lakefile.lean | ||
| lean-toolchain | ||
| preamble.tex | ||
README.md
bookshelf
A study of the books listed below. Most proofs are conducted in LaTeX. Where feasible, theorems are also formally proven in Lean.
- Apostol, Tom M. Calculus, Vol. 1: One-Variable Calculus, with an Introduction to Linear Algebra. 2nd ed. Vol. 1. 2 vols. Wiley, 1991.
- Avigad, Jeremy. ‘Theorem Proving in Lean’, n.d.
- Axler, Sheldon. Linear Algebra Done Right. Undergraduate Texts in Mathematics. Cham: Springer International Publishing, 2015.
- Cormen, Thomas H., Charles E. Leiserson, Ronald L. Rivest, and Clifford Stein. Introduction to Algorithms. 3rd ed. Cambridge, Mass: MIT Press, 2009.
- Enderton, Herbert B. A Mathematical Introduction to Logic. 2nd ed. San Diego: Harcourt/Academic Press, 2001.
- Gries, David. The Science of Programming. Texts and Monographs in Computer Science. New York: Springer-Verlag, 1981.
- Gustedt, Jens. Modern C. Shelter Island, NY: Manning Publications Co, 2020.
- Ross, Sheldon. A First Course in Probability Theory. 8th ed. Pearson Prentice Hall, n.d.
- Smullyan, Raymond M. To Mock a Mockingbird: And Other Logic Puzzles Including an Amazing Adventure in Combinatory Logic. Oxford: Oxford university press, 2000.
Documentation
To generate documentation, we use bookshelf-docgen. Refer to this project on prerequisites and then run the following to build and serve files locally:
> lake build Bookshelf:docs
> lake run server
This assumes you have python3 available in your $PATH. To change how the
server behaves, refer to the .env file located in the root directory of this
project.
A color/symbol code is used on generated PDF headers to indicate their status:
- Teal coloring (with a checkmark) indicates the corresponding proof is complete. That is, the proof has been written in TeX and also formally verified in Lean.
- Magenta coloring (with a spinner) indicates the corresponding proof is in progress. That is, a proof in both TeX and Lean have not yet been finished, but is actively being worked on.
- Red coloring (with a warning) indicates the formal Lean proof has not yet been started. It may or may not also indicate the TeX proof has been written.