#2480 ⟨a, b | aabaab=aaab⟩

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Infinite non-cancellative non-commutative monoid
Not left cancellative, because left multiplication by a is not injective:
- a ⋅ aba²b = a³b and a ⋅ a²b = a³b, however aba²b ≠ a²b
Not right cancellative, because right multiplication by b is not injective:
- a²ba² ⋅ b = a³b and a³ ⋅ b = a³b, however a²ba² ≠ 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

# ab:aabaab=aaab abc aaab=c magic:0
aac=cc
cac=acc
aaab=c
aabc=ac
caab=ac
aabac=cc
aabaab=c

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