#2576 ⟨a, b | abaaab=bbab⟩

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Infinite non-cancellative non-commutative monoid
Not right cancellative, because right multiplication by b is not injective:
- aba³ ⋅ b = b²ab and b²a ⋅ b = b²ab, however aba³ ≠ b²a
Enveloping group: ⟨a, b | aabab^-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 = ab
Reduction order:
- Right-to-left recursive path with deg(c) = 0; deg(a) = deg(b) = 1, a < b
Certificate: derivations of all rewriting rules from the defining relations.
Morphocompletion: how the auxiliary generators were found.

# ab:abaaab=bbab reversed:c/ab ab=c morph:2/1
ab=c
bbc=caac
acaac=cbc
acacbc=cbcaac

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