#5331 ⟨a, b | abaabba=baaa⟩

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Properties
Rewriting system

Properties

Presentation has sum-of-sides 11
Infinite non-commutative monoid

Rewriting system

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 shortlex with b < a < c
Auxiliary generators:
1. baaa=c
Certificate: derivations of all rewriting rules from the defining relations.

#	Rule	Proof
1.	ba³ ⇒ c	[2]
2.	aba²bc ⇒ ca²	[5]
3.	cba²bc ⇒ ba²ca²	[7]
4.	aba²b²a ⇒ c	[3]
5.	cba²b²a ⇒ ba²c	[6]
6.	aba²b²c ⇒ ba²c	[9]
7.	(ba²)²c ⇒ cba²b²c	[8]
8.	aba²b³a²c ⇒ cba²b²c	[10]
9.	cba²b³a²c ⇒ ba²cba²b²c	[11]

# ab:abaabba=baaa reversed:bac baaa=c magic:0
baaa=c
abaabc=caa
cbaabc=baacaa
abaabba=c
cbaabba=baac
abaabbc=baac
baabaac=cbaabbc
abaabbbaac=cbaabbc
cbaabbbaac=baacbaabbc

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