Description:
Mathematical Components for the Coq proof assistant
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Type: Formula
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Tracked Since: Dec 28, 2025
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Links:
Homepage |
formulae.brew.sh
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Category: Developer tools
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Tags:
coq
formal-verification
mathematics
proof-assistant
library
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Install:
brew install math-comp
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About:
Mathematical Components (math-comp) is a comprehensive library of mathematical structures and proofs built on top of the Coq proof assistant. It provides a formalized hierarchy of algebraic structures, including numbers, groups, rings, and matrices, enabling rigorous verification of mathematical theorems. This library is foundational for projects like the CompCert verified compiler and the Coq-HoTT library.
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Key Features:
- Formalized hierarchy of algebraic structures (SSReflect)
- Comprehensive library for finite sets and combinatorics
- Basis for the CompCert verified C compiler
- Rigorous foundation for abstract algebra and number theory
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Use Cases:
- Formal verification of mathematical theorems and proofs
- Development of verified software and compilers
- Research in abstract algebra and discrete mathematics
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Alternatives:
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Coq Standard Library
– Math-comp offers a more structured and modular approach to algebraic structures compared to the standard library.
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Lean Mathlib
– Lean's mathlib is a competing large-scale formal mathematics library with a different underlying logic and syntax.
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| Jun 24, 2026 9:03pm |
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| Feb 9, 2026 3:14pm |
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| Jan 28, 2026 1:08pm |
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| Oct 5, 2025 12:02am |
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VERSION_BUMP |
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| Sep 16, 2025 4:01am |
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| Sep 13, 2024 8:32pm |
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| Mar 27, 2023 11:11am |
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| Feb 1, 2023 11:48pm |
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