⟨a, b | aabbbbabbba=1⟩

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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

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

#	Rule	Proof
1.	cd ⇒ 1	[9]
2.	dc ⇒ 1	[11]
3.	ac ⇒ ca	[5]
4.	ad ⇒ da	[10]
5.	a³ ⇒ c	[2]
6.	cb⁴ ⇒ bab³a²	[17]
7.	dbab³ ⇒ b⁴da	[12]
8.	ab³cb ⇒ bab³c	[25]
9.	cab⁴ ⇒ abab³a²	[18]
10.	dabab³ ⇒ ab⁴da	[16]
11.	a²b⁴ ⇒ b³cbda²	[27]
12.	a²bab³ ⇒ cb³cbd	[24]
13.	db²ab³ ⇒ b⁴abd	[13]
14.	dab²ab³ ⇒ ab⁴abd	[22]
15.	a²b²ab³ ⇒ cb³cb²d	[29]
16.	db³ab³ ⇒ b⁴ab²d	[14]
17.	d(ab³)² ⇒ ab⁴ab²d	[31]
18.	a(ab³)² ⇒ (cb³)²d	[32]
19.	b⁴ab³ ⇒ d	[3]

# ab:aabbbbabbba=1 cda/b aaa=c,bbbbabbb=d magic:0 cd=1 dc=1 ac=ca ad=da aaa=c cbbbb=babbbaa dbabbb=bbbbda abbbcb=babbbc cabbbb=ababbbaa dababbb=abbbbda aabbbb=bbbcbdaa aababbb=cbbbcbd dbbabbb=bbbbabd dabbabbb=abbbbabd aabbabbb=cbbbcbbd dbbbabbb=bbbbabbd dabbbabbb=abbbbabbd aabbbabbb=cbbbcbbbd bbbbabbb=d

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#3159 ⟨a, b | aabbbbabbba=1⟩

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