⟨a, b | aaabbbabba=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. aaaa=c
2. bbbabb=d
Certificate: derivations of all rewriting rules from the defining relations.

#	Rule	Proof
1.	cd ⇒ 1	[16]
2.	dc ⇒ 1	[19]
3.	ac ⇒ ca	[5]
4.	ad ⇒ da	[20]
5.	a⁴ ⇒ c	[2]
6.	cb³ ⇒ bab²a³	[25]
7.	dbab² ⇒ b³da	[21]
8.	ab²cb ⇒ bab²c	[33]
9.	cab³ ⇒ abab²a³	[26]
10.	dabab² ⇒ ab³da	[24]
11.	ca²b³ ⇒ a²bab²a³	[35]
12.	da²bab² ⇒ a²b³da	[29]
13.	a³b³ ⇒ b²cbda³	[39]
14.	a³bab² ⇒ cb²cbd	[36]
15.	db²ab² ⇒ b³abd	[22]
16.	d(ab²)² ⇒ ab³abd	[30]
17.	da(ab²)² ⇒ a²b³abd	[40]
18.	a²(ab²)² ⇒ (cb²)²d	[41]
19.	b³ab² ⇒ d	[3]

# ab:aaabbbabba=1 cda/b aaaa=c,bbbabb=d magic:0 cd=1 dc=1 ac=ca ad=da aaaa=c cbbb=babbaaa dbabb=bbbda abbcb=babbc cabbb=ababbaaa dababb=abbbda caabbb=aababbaaa daababb=aabbbda aaabbb=bbcbdaaa aaababb=cbbcbd dbbabb=bbbabd dabbabb=abbbabd daabbabb=aabbbabd aaabbabb=cbbcbbd bbbabb=d

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#1383 ⟨a, b | aaabbbabba=1⟩

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