#3047 ⟨a, b | aabaabbbaab=1⟩

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Presentation has sum-of-sides 11
Infinite non-Abelian group
Inverses of generators:
- a^-1 = (bc)²b³a
- b^-1 = b²d
- c^-1 = (bc)²b³
- d^-1 = b³

Format:	Pretty Plain
Word to reduce:
	Tips: Lowercase letters stand for generators. Spaces are ignored. Numbers repeat the previous letter, e.g. `b90`.
Reduction strategy:	Leftmost Rightmost
Path to normal form:	1 1

Reduction order:
- Left-to-right recursive path with deg(b) = deg(d) = 0, b < d; deg(c) = deg(a) = 1, c < a
Auxiliary generators:
1. aa=c
2. cbcbc=d
Certificate: derivations of all rewriting rules from the defining relations.
Morphocompletion: how the auxiliary generators were found.

# ab:aabaabbbaab=1 bd/ca aa=c,cbcbc=d morph:2/0,5/0
db=bd
bbbd=1
dc=bcbbdd
bbc=cbb
ac=ca
aa=c
cbcbc=d
abcbc=bcbcbbbad

The mapping is from the listed presentation's alphabet to the current rewriting system's alphabet.

2 total

Σ	#	Presentation	Mapping
11	3128	⟨a, b \| aabbabbabba=1⟩	φ(a) = b, φ(b) = a
11	3206	⟨a, b \| abaabaabbba=1⟩	φ(a) = a, φ(b) = b

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