#2463 ⟨a, b | aaabba=baba⟩

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Infinite non-cancellative non-commutative monoid
Not right cancellative, because right multiplication by a is not injective:
- a³b² ⋅ a = (ba)² and bab ⋅ a = (ba)², however a³b² ≠ bab
Enveloping group: ⟨a, b | aaaba^-1b^-1⟩

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 = baba
Reduction order:
- Left-to-right recursive path with deg(a) = 0; deg(c) = deg(b) = 1, c < b
Certificate: derivations of all rewriting rules from the defining relations.

# ab:aaabba=baba a/cb baba=c magic:0
bac=cba
aaabc=cba
baba=c
aaabba=c
babc=caabba
aaabbc=caabba

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