⟨a, b | ababbbba=aab⟩

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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:
- Right-to-left recursive path with deg(b) = deg(c) = 0, b < c; deg(a) = 1
Auxiliary generators:
1. aab=c
Certificate: derivations of all rewriting rules from the defining relations.

#	Rule	Proof
1.	cbab(b³c)² ⇒ c²ab	[10]
2.	cab⁴a ⇒ ac	[6]
3.	cbab⁴a ⇒ cab	[5]
4.	cbab⁴cb³a ⇒ c²	[15]
5.	a²b ⇒ c	[2]
6.	c(ab)² ⇒ cbab⁴c	[9]
7.	acab ⇒ cab⁴c	[7]
8.	a²c ⇒ cab⁴cb³a	[13]
9.	abab⁴c ⇒ cab	[16]
10.	cab²ab⁴c ⇒ cbab⁴cab	[17]
11.	acbab⁴c ⇒ cab⁴cab	[14]
12.	c(ab⁴c)² ⇒ ac²ab	[12]
13.	cb(ab⁴c)² ⇒ (cab)²	[11]
14.	abab⁴a ⇒ c	[3]
15.	cab²ab⁴a ⇒ cbab⁴c	[8]

# ab:ababbbba=aab reversed:bc/a aab=c magic:0 cbabbbbcbbbc=ccab cabbbba=ac cbabbbba=cab cbabbbbcbbba=cc aab=c cabab=cbabbbbc acab=cabbbbc aac=cabbbbcbbba ababbbbc=cab cabbabbbbc=cbabbbbcab acbabbbbc=cabbbbcab cabbbbcabbbbc=accab cbabbbbcabbbbc=cabcab ababbbba=c cabbabbbba=cbabbbbc

Up:	Monoids with two generators and one relation
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#4846 ⟨a, b | ababbbba=aab⟩

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