#2581 ⟨a, b | abaaba=aaba⟩

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Infinite non-cancellative non-commutative monoid
Not left cancellative, because left multiplication by a is not injective:
- a ⋅ ba²ba = a²ba and a ⋅ aba = a²ba, however ba²ba ≠ aba
Not right cancellative, because right multiplication by a is not injective:
- aba²b ⋅ a = a²ba and a²b ⋅ a = a²ba, however aba²b ≠ a²b
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 = aaba
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:abaaba=aaba bc/a aaba=c magic:0
ccbc=cbcc
cbcbc=cc
ac=cbc
abc=c
caba=cbc
aaba=c

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