#1119 ⟨a, b | ababab=aba⟩

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Presentation has sum-of-sides 9
Infinite non-cancellative non-commutative monoid
Not left cancellative, because left multiplication by a is not injective:
- a ⋅ b(ab)² = aba and a ⋅ ba = aba, however b(ab)² ≠ ba
Enveloping group is isomorphic to ℤ

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

Auxiliary generators:
1. c = aba
Reduction order:
- Left-to-right recursive path with deg(b) = deg(c) = 0, b < c; deg(a) = 1
Certificate: derivations of all rewriting rules from the defining relations.

# ab:ababab=aba bc/a aba=c magic:0
ccb=cbc
cbcbb=c
cbcbcb=cc
abc=cbcb
ca=cbc
cba=cbcb
aba=c

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