#2306 ⟨a, b | abaabab=aab⟩

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Infinite non-cancellative non-commutative monoid
Not left cancellative, because left multiplication by a is not injective:
- a ⋅ ba(ab)² = a²b and a ⋅ ab = a²b, however ba(ab)² ≠ ab
Not right cancellative, because right multiplication by b is not injective:
- (aba)² ⋅ b = a²b and a² ⋅ b = a²b, however (aba)² ≠ a²
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 = aab
Reduction order:
- Right-to-left recursive path with deg(b) = deg(c) = 0, b < c; deg(a) = 1
Certificate: derivations of all rewriting rules from the defining relations.

# ab:abaabab=aab reversed:bc/a aab=c magic:0
ac=ccab
abcc=ccab
aab=c
abcab=c

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