⟨a, b | aabaab=ababa⟩

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Monoids with two generators and one relation

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

#	Rule	Proof
1.	dc ⇒ cd	[6]
2.	da²c ⇒ acada	[13]
3.	ab ⇒ c	[2]
4.	(ac)² ⇒ c²a	[5]
5.	dac² ⇒ (aca)²d	[12]
6.	da³cb ⇒ a(ca²)²d	[16]
7.	ac³a ⇒ c²a²c	[8]
8.	da³c²ac ⇒ ac(a²c)²da	[18]
9.	daca²cb ⇒ c²aca²d	[15]
10.	c⁴ ⇒ d	[3]
11.	daca²c²ac ⇒ c²aca²cda	[17]
12.	c²a²cb ⇒ ad	[9]
13.	c²ac³ ⇒ acad	[7]
14.	c²a²c²ac ⇒ acda	[10]
15.	c²aca²cb ⇒ aca²d	[11]
16.	c²aca²c²ac ⇒ aca²cda	[14]

# ab:aabaab=ababa ad/cb ab=c,cccc=d morph:2/0,4/0 dc=cd daac=acada ab=c acac=cca dacc=acaacad daaacb=acaacaad accca=ccaac daaaccac=acaacaacda dacaacb=ccacaad cccc=d dacaaccac=ccacaacda ccaacb=ad ccaccc=acad ccaaccac=acda ccacaacb=acaad ccacaaccac=acaacda

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#5655 ⟨a, b | aabaab=ababa⟩

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