#3120 ⟨a, b | aabbababaab=1⟩

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Presentation has sum-of-sides 11
Infinite non-Abelian group
Inverses of generators:
- a^-1 = dca
- b^-1 = c²(ac)²
- c^-1 = dcac³aca
- d^-1 = ca²

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(a) = deg(c) = 0, a < c; deg(d) = 1; deg(b) = 2
Auxiliary generators:
1. ab=c
2. bbcca=d
Certificate: derivations of all rewriting rules from the defining relations.
Morphocompletion: how the auxiliary generators were found.

# ab:aabbababaab=1 ac/d/b ab=c,bbcca=d morph:2/0,5/2
cccacaa=accacac
cccacac=a
dcaa=1
ad=dccccaca
cd=dcccccccacccca
b=dcac

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

2 total

Σ	#	Presentation	Mapping
11	3218	⟨a, b \| abaabbababa=1⟩	φ(a) = a, φ(b) = dcac
11	3246	⟨a, b \| abababbabba=1⟩	φ(a) = dcac, φ(b) = a

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