#2311 ⟨a, b | abaabab=bba⟩

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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 = ba
Reduction order:
- Right-to-left recursive path with deg(a) = deg(c) = 0, a < c; deg(b) = 1
Certificate: derivations of all rewriting rules from the defining relations.
Morphocompletion: how the auxiliary generators were found.

#	Rule	Proof
1.	ba ⇒ c	[2]
2.	bc ⇒ (ac)²b	[4]

# ab:abaabab=bba reversed:ac/b ba=c morph:2/0
ba=c
bc=acacb

3 unique, 3 total

Σ	#	Presentation	Description
9	935	⟨a, b \| aabaabb=ba⟩	Infinite cancellative non-commutative monoid
9	1093	⟨a, b \| aabbab=bba⟩	Infinite cancellative non-commutative monoid
11	4078	⟨a, b \| aabaaabab=ba⟩	Infinite cancellative non-commutative monoid

2 unique, 2 total

Σ	#	Presentation	Description	Related
10	2751	⟨a, b \| baaba=ababb⟩	Infinite cancellative non-commutative monoid
11	4771	⟨a, b \| abaaabab=baa⟩	Infinite cancellative non-commutative monoid

Up:	Monoids with two generators and one relation
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Next:	#2312 ⟨a, b \| abaabab=bbb⟩