Knuth–Bendix algorithm (Coset Enumeration Coset Enumeration)

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Time Complexity

$O({1.5}^n n^{2} logn)$

Space Complexity

$O(ng)$??? words

(Can store a table whose number of required registers is the product of the number of generators (n) and the number of cosets (O(g)))

Description

Approximate?

Exact

Randomized?

No, deterministic

Model of Computation

Word RAM?

Year

1970

Reference

https://www.cs.tufts.edu/~nr/cs257/archive/don-knuth/knuth-bendix.pdf