Geodesic
Simple signature based iterative algorithm for calculation of Gr\"obner bases
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 5 (2013), pp. 20-25

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This paper presents an algorithm for computing Groebner bases based upon labeled polynomials from the algorithm F5. The main highlight of this algorithm compared with analogues is the simplicity both of the algorithm and of its correctness proof achieved without loss of efficiency. This leads to a simple implementation which performance is in par with more complex analogues. 
@article{VMUMM_2013_5_a2,
     author = {V. V. Galkin},
     title = {Simple signature based iterative algorithm for calculation of {Gr\"obner} bases},
     journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
     pages = {20--25},
     publisher = {mathdoc},
     number = {5},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMUMM_2013_5_a2/}
}
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V. V. Galkin. Simple signature based iterative algorithm for calculation of Gr\"obner bases. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 5 (2013), pp. 20-25. http://geodesic.mathdoc.fr/item/VMUMM_2013_5_a2/