[isabelle] New AFP article: GrÃbner Bases Theory



GrÃbner Bases Theory
Fabian Immler, Alexander Maletzky

This formalization is concerned with the theory of GrÃbner bases in
(commutative) multivariate polynomial rings over fields, originally
developed by Buchberger in his 1965 PhD thesis. Apart from the
statement and proof of the main theorem of the theory, the
formalization also implements Buchberger's algorithm for actually
computing GrÃbner bases as a tail-recursive function, thus allowing to
effectively decide ideal membership in finitely generated polynomial
ideals. Furthermore, all functions can be executed on a concrete
representation of multivariate polynomials as association lists.

http://www.isa-afp.org/entries/Groebner_Bases.shtml

Enjoy!

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