#5843 ⟨a, b | abaaba=aaaba⟩

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Infinite non-cancellative non-commutative monoid
Not left cancellative, because left multiplication by a is not injective:
- a ⋅ ba²ba = a³ba and a ⋅ a²ba = a³ba, however ba²ba ≠ a²ba
Not right cancellative, because right multiplication by a is not injective:
- aba²b ⋅ a = a³ba and a³b ⋅ a = a³ba, however aba²b ≠ a³b
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 = aaaba
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:abaaba=aaaba b/ca aaaba=c magic:0
cbac=cac
aac=caba
abac=caba
cbaabc=caabc
cbaaba=caaba
aaabc=caaba
abaabc=caaba
aaaba=c
abaaba=c

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