#2423 ⟨a, b | aaabaa=aaba⟩

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Infinite non-cancellative non-commutative monoid
Not left cancellative, because left multiplication by a is not injective:
- a ⋅ a²ba² = a²ba and a ⋅ aba = a²ba, however a²ba² ≠ aba
Not right cancellative, because right multiplication by a is not injective:
- a³ba ⋅ a = a²ba and a²b ⋅ a = a²ba, however a³ba ≠ a²b
Enveloping group: ⟨a, b | aabb⟩

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(a) = deg(c) = 0, a < c; deg(b) = 1
Certificate: derivations of all rewriting rules from the defining relations.

# ab:aaabaa=aaba ac/b aaba=c magic:0
aca=c
cca=acc
cba=aacc
cbc=accc
aaba=c
aabc=acc
caba=acc
cabc=ccc

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