Ring properties for square matrices. This contribution contains an operational formalization of square matrices. (m,n)-Matrices are represented as vectors of length n. Each vector (a row) is itself a vector whose length is m. Vectors are actually implemented as dependent lists. We define basic operations for this datatype (addition, product, neutral elements O_n and I_n). We then prove the ring properties for these operations. The development uses Coq modules to specify the interface (the ring structure properties) as a signature. This development deals with dependent types and partial functions. Most of the functions are defined by dependent case analysis and some functions such as getting a column require the use of preconditions (to check whether we are within the bounds of the matrix).

opam install coq-matrices.8.8.0

- homepage
- https://github.com/coq-contribs/matrices
- license
- LGPL 2.1
- bugs tracker
- https://github.com/coq-contribs/matrices/issues
- dependencies
- coq (>= 8.8 & < 8.9~)
- source
- https://github.com/coq-contribs/matrices/archive/v8.8.0.tar.gz
- package
- https://github.com/coq/opam-coq-archive/tree/master/released/packages/coq-matrices/coq-matrices.8.8.0