⟨a, b | aabbbbbbaba=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. bbbbbbab=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.	abcb ⇒ babc	[23]
7.	a(ab)² ⇒ (cb)²d	[19]
8.	a²b²ab ⇒ cbcb²d	[22]
9.	a²b³ab ⇒ cbcb³d	[25]
10.	a²b⁴ab ⇒ cbcb⁴d	[27]
11.	cb⁶ ⇒ b⁵aba²	[15]
12.	db⁵ab ⇒ b⁶da	[12]
13.	cab⁶ ⇒ ab⁵aba²	[16]
14.	dab⁵ab ⇒ ab⁶da	[14]
15.	a²b⁶ ⇒ bcb⁵da²	[32]
16.	a²b⁵ab ⇒ cbcb⁵d	[30]
17.	b⁶ab ⇒ d	[3]

# ab:aabbbbbbaba=1 cda/b aaa=c,bbbbbbab=d magic:0 cd=1 dc=1 ac=ca ad=da aaa=c abcb=babc aabab=cbcbd aabbab=cbcbbd aabbbab=cbcbbbd aabbbbab=cbcbbbbd cbbbbbb=bbbbbabaa dbbbbbab=bbbbbbda cabbbbbb=abbbbbabaa dabbbbbab=abbbbbbda aabbbbbb=bcbbbbbdaa aabbbbbab=cbcbbbbbd bbbbbbab=d

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#3165 ⟨a, b | aabbbbbbaba=1⟩

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