#5377 ⟨a, b | ababbba=bbaa⟩

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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. bbaa=c
Certificate: derivations of all rewriting rules from the defining relations.

#	Rule	Proof
1.	b²a² ⇒ c	[2]
2.	(ab)²c ⇒ ca	[5]
3.	cbabc ⇒ b²aca	[7]
4.	abab³a ⇒ c	[3]
5.	cbab³a ⇒ b²ac	[6]
6.	abab³c ⇒ b²ac	[9]
7.	(b²a)²c ⇒ cbab³c	[8]
8.	abab⁵ac ⇒ cbab³c	[10]
9.	cbab⁵ac ⇒ b²acbab³c	[11]

# ab:ababbba=bbaa reversed:bac bbaa=c magic:0
bbaa=c
ababc=ca
cbabc=bbaca
ababbba=c
cbabbba=bbac
ababbbc=bbac
bbabbac=cbabbbc
ababbbbbac=cbabbbc
cbabbbbbac=bbacbabbbc

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