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Real closed fields |
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Welcome to the Real closed fields project website!
This library contains definitions and theorems about real closed fields, with a construction of the real closure and the algebraic closure (including a proof of the fundamental theorem of algebra). It also contains a proof of decidability of the first order theory of real closed field, through quantifier elimination.
This is an open source project, licensed under the CeCILL-B.
The current stable release of Real closed fields can be downloaded from GitHub.
Related publications, if any, are listed below.
- Formal proofs in real algebraic geometry: from ordered fields to quantifier elimination doi:10.2168/LMCS-8(1:2)2012
- Construction of real algebraic numbers in Coq doi:10.1007/978-3-642-32347-8_6
- Report issues on GitHub
- Cyril Cohen
- Assia Mahboubi