https://github.com/FormalizedFormalLogic/Foundation
Lean4 Logic Formalization
https://github.com/FormalizedFormalLogic/Foundation
incompleteness lean4 logic
Last synced: 4 months ago
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Lean4 Logic Formalization
- Host: GitHub
- URL: https://github.com/FormalizedFormalLogic/Foundation
- Owner: FormalizedFormalLogic
- License: apache-2.0
- Created: 2023-02-11T18:48:33.000Z (about 2 years ago)
- Default Branch: master
- Last Pushed: 2024-07-25T21:55:05.000Z (7 months ago)
- Last Synced: 2024-07-25T23:28:12.305Z (7 months ago)
- Topics: incompleteness, lean4, logic
- Language: Lean
- Homepage: https://iehality.github.io/lean4-logic/book/
- Size: 2.1 MB
- Stars: 49
- Watchers: 5
- Forks: 4
- Open Issues: 13
-
Metadata Files:
- Readme: README.md
- License: LICENSE
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README
# Foundation
Formalized basic results about formal logic in Lean 4.
## Documents
- [Book](https://formalizedformallogic.github.io/Book/): Summary of results.
- [Full Documentation](https://FormalizedFormalLogic.github.io/Foundation/docs): Generated documentation by [doc-gen4](https://github.com/leanprover/doc-gen4).
## Main Results
- [Classical Propositional Logic](https://formalizedformallogic.github.io/Book/classical_propositional/index.html)
- [First-Order Logic](https://formalizedformallogic.github.io/Book/first_order/index.html): First-Order Logic and Arithmetic.
- [Gödel's First Incompleteness](https://formalizedformallogic.github.io/Book/first_order/goedel1.html)
- [Superintuitionistic Logic](https://formalizedformallogic.github.io/Book/superntuitionistic/index.html): Intuitionistic propositional logic and some variants.
- [Standard Modal Logic](https://formalizedformallogic.github.io/Book/standard_modal/index.html): Propositional logic extended modal operators $\Box$ and $\Diamond$.