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* Faugere's [[http://www-spaces.lip6.fr/%40papers/F02a.pdf|original paper]] |
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| * John Perry's Singular [[http://www.math.usm.edu/perry/Research/|implementation] of F5 (three variants) | * John Perry's Singular [[http://www.math.usm.edu/perry/Research/|implementation]] of F5 (three variants) |
F5 Project at Sage Days 12
Participants
- Martin Albrecht
- John Perry
Questions/Tasks
- Does F5 terminate for all inputs and can it be proven? What adaptations are necessary if not.
- What is the relationship between the F5 criteria and the Buchberger criteria?
- Come up with an F4-style F5.
Literature
Faugere's original paper
Code
John Perry's Singular implementation of F5 (three variants)
Till Steger's Magma implementation of F5
Simon King's Sage/Cython implementation of F5
Martin Albrecht's Sage/Python implementation of F5 (three variants)
Martin Albrecht's Sage/Python implementation of Matrix F5