#3069 ⟨a, b | aabababbaab=1⟩

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Presentation has sum-of-sides 11
Infinite non-Abelian group
Inverses of generators:
- a^-1 = adad²c
- b^-1 = (da)²d²
- c^-1 = a²dad²
- d^-1 = adad³adad²c

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:
- Right-to-left recursive path with deg(d) = 0; deg(a) = 1; deg(c) = deg(b) = 2, c < b
Auxiliary generators:
1. bb=c
2. ba=d
Certificate: derivations of all rewriting rules from the defining relations.
Morphocompletion: how the auxiliary generators were found.

# ab:aabababbaab=1 reversed:d/a/cb bb=c,ba=d morph:2/2,2/1
dadaddd=a
aadaddd=dadadda
aadaddc=1
cd=ddadddddddaddc
ca=adadddddddaddc
b=dadaddc

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

1 total

Σ	#	Presentation	Mapping
11	3257	⟨a, b \| ababbabbaab=1⟩	φ(a) = cddadad, φ(b) = a

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