#5647 ⟨a, b | aabaab=aaaba⟩

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Infinite non-cancellative non-commutative monoid
Not left cancellative, because left multiplication by a is not injective:
- a ⋅ aba²b = a³ba and a ⋅ a²ba = a³ba, however aba²b ≠ a²ba
Enveloping group: ⟨a, b | aaabb⟩

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:
- Right-to-left recursive path with deg(c) = deg(a) = 0, c < a; deg(b) = 1
Certificate: derivations of all rewriting rules from the defining relations.
Morphocompletion: how the auxiliary generators were found.

# ab:aabaab=aaaba reversed:ca/b aaba=c morph:4/0
cca=acc
acaca=ccc
cab=ac
cccb=acaac
accb=cac
acaab=cc
aabc=aca
aaba=c

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