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# Formalizing Lewis's Theory of Common Knowledge in Lean 4
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[![DOI](https://zenodo.org/badge/DOI/10.5281/zenodo.XXXXXXX.svg)](https://doi.org/10.5281/zenodo.XXXXXXX)
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[![DOI](https://zenodo.org/badge/1105929111.svg)](https://doi.org/10.5281/zenodo.17759320)
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[![License: MIT](https://img.shields.io/badge/License-MIT-yellow.svg)](https://opensource.org/licenses/MIT)
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[![Lean 4](https://img.shields.io/badge/Lean-4.13.0-blue.svg)](https://leanprover.github.io/lean4/doc/)
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[![Lean 4](https://img.shields.io/badge/Lean-4.26.0--rc2-blue.svg)](https://leanprover.github.io/lean4/doc/)
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[![Build Status](https://github.com/hjvromen/lewis-common-knowledge-lean4/actions/workflows/lean.yml/badge.svg)](https://github.com/hjvromen/lewis-common-knowledge-lean4/actions)
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This repository contains machine-verified formalizations of three approaches to David Lewis's theory of common knowledge, fully implemented in Lean 4. The project accompanies the paper:
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This repository contains machine-verified formalizations of three approaches to David Lewis's theory of common knowledge, fully implemented in Lean 4. The project builds on the paper:
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**Vromen, H. (2024). Reasoning with reasons: Lewis on common knowledge. *Economics & Philosophy*, 40(2), 397–418.**
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[DOI: 10.1017/S0266267123000238](https://doi.org/10.1017/S0266267123000238)

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