Science Score: 44.0%
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✓CITATION.cff file
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✓codemeta.json file
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✓.zenodo.json file
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○Scientific vocabulary similarity
Low similarity (3.2%) to scientific vocabulary
Keywords
lean4
logic
Last synced: 6 months ago
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JSON representation
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Repository
Formalization of Mathematical Logic
Basic Info
- Host: GitHub
- Owner: FormalizedFormalLogic
- License: apache-2.0
- Language: Lean
- Default Branch: master
- Homepage: https://formalizedformallogic.github.io/Foundation/
- Size: 6.74 MB
Statistics
- Stars: 154
- Watchers: 8
- Forks: 10
- Open Issues: 49
- Releases: 0
Topics
lean4
logic
Created about 3 years ago
· Last pushed 6 months ago
Metadata Files
Readme
License
Citation
README.md
Foundation
Formalizing mathematical logics in Lean 4.
Summary
Main Result in this repository. More results and details are in Book and Doc.
- Propositional Logic
- Tait-style calculus and completeness
- Completeness for Kripke semantics
- Disjunctive Property of intuitionistic logic
- Rejection Law of Excluded Middle in intuitionistic logic and sublogic relations
- Propositional Logic Zoo
- First-Order Logic and Arithmetics
- Completeness Theorem
- Gdel-Gentzen Translation
- Cut-elimination of first-order sequent calculus (Gentzen's Hauptsatz)
- Arithmetic
- Gdel's First and Second Incompleteness Theorems
- Arithmetic Theory Zoo
- Basic Modal Logic (with modal operators $\Box, \Diamond$)
- Provability Logic
Documents
Zoo
Lines represent subset relations of theories/logics. Solid lines are represent proper subset.
Arithmetic Theory Zoo

Modal Logic Zoo

Propositional Logic Zoo

Financial Supports
Any financial supports would greatly helps us. If you considered, please contact us: palalansouki@gmail.com
Previous Sponsors
Companies and organizations that have supported us in the past.
- Proxima Technology (2024-2025)
Owner
- Name: FormalizedFormalLogic
- Login: FormalizedFormalLogic
- Kind: organization
- Repositories: 2
- Profile: https://github.com/FormalizedFormalLogic
Citation (CITATION.cff)
cff-version: 1.2.0 message: "If you use this software, please cite it as below." title: "Formalized Formal Logic" abstract: A mechanized proof library for mathematical logic. authors: - family-names: "Saito" given-names: "Shogo" - family-names: "Noguchi" given-names: "Mashu" type: software repository-code: "https://github.com/FormalizedFormalLogic/Foundation" license: Apache-2.0 date-released: "2023-01-30"
GitHub Events
Total
- Issues event: 136
- Watch event: 64
- Delete event: 224
- Issue comment event: 148
- Push event: 605
- Pull request review event: 59
- Pull request review comment event: 59
- Pull request event: 438
- Fork event: 4
- Create event: 263
Last Year
- Issues event: 136
- Watch event: 64
- Delete event: 224
- Issue comment event: 148
- Push event: 605
- Pull request review event: 59
- Pull request review comment event: 59
- Pull request event: 438
- Fork event: 4
- Create event: 263
Issues and Pull Requests
Last synced: 6 months ago
All Time
- Total issues: 89
- Total pull requests: 279
- Average time to close issues: about 1 month
- Average time to close pull requests: 3 days
- Total issue authors: 3
- Total pull request authors: 3
- Average comments per issue: 0.2
- Average comments per pull request: 0.42
- Merged pull requests: 204
- Bot issues: 3
- Bot pull requests: 7
Past Year
- Issues: 83
- Pull requests: 258
- Average time to close issues: 19 days
- Average time to close pull requests: 3 days
- Issue authors: 3
- Pull request authors: 3
- Average comments per issue: 0.2
- Average comments per pull request: 0.4
- Merged pull requests: 184
- Bot issues: 3
- Bot pull requests: 7
Top Authors
Issue Authors
- SnO2WMaN (70)
- iehality (16)
- github-actions[bot] (3)
Pull Request Authors
- SnO2WMaN (222)
- iehality (50)
- github-actions[bot] (7)
Top Labels
Issue Labels
Pull Request Labels
auto-update-lean (6)