#1240 ⟨a, b | abaab=aaab⟩

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Infinite non-cancellative non-commutative monoid
Not left cancellative, because left multiplication by a is not injective:
- a ⋅ ba²b = a³b and a ⋅ a²b = a³b, however ba²b ≠ a²b
Not right cancellative, because right multiplication by b is not injective:
- aba² ⋅ b = a³b and a³ ⋅ b = a³b, however aba² ≠ a³
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 = aaab
Reduction order:
- Left-to-right recursive path with deg(b) = 0; deg(c) = deg(a) = 1, c < a
Certificate: derivations of all rewriting rules from the defining relations.

# ab:abaab=aaab b/ca aaab=c magic:0
aac=caab
abac=caab
aaab=c
abaab=c

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