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
Till Stegers' Diplom thesis
Justin Gash's PhD thesis on F5
Christian Eder: On The Criteria Of The F5 Algorithm
Christian Eder: The Algorithmic Behaviour of the F5 Algorithm
Code
John Perry's Singular implementation of F5 (three variants)
Till Stegers' 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