#2307 ⟨a, b | abaabab=aba⟩

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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 = aba and a ⋅ ba = aba, however ba(ab)² ≠ ba
Enveloping group is isomorphic to ℤ₂ ∗ 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 = abaa
Reduction order:
- Right-to-left recursive path with deg(b) = 0; deg(c) = deg(a) = 1, c < a
Certificate: derivations of all rewriting rules from the defining relations.
Morphocompletion: how the auxiliary generators were found.

# ab:abaabab=aba reversed:b/ca abaa=c morph:4/1
ca=cbc
aba=cbab
ccbab=cbcba
cbcbab=c
cbaa=cbabc
cbabba=abcbab
cbacbab=cbabcba
cbabcbab=cba

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