#5335 ⟨a, b | abaabba=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.	aba²c ⇒ ca	[5]
3.	cba²c ⇒ b²aca	[7]
4.	aba²b²a ⇒ c	[3]
5.	cba²b²a ⇒ b²ac	[6]
6.	aba²b²c ⇒ b²ac	[9]
7.	(b²a)²c ⇒ cba²b²c	[8]
8.	aba²b⁴ac ⇒ cba²b²c	[10]
9.	cba²b⁴ac ⇒ b²acba²b²c	[11]

# ab:abaabba=bbaa reversed:bac bbaa=c magic:0
bbaa=c
abaac=ca
cbaac=bbaca
abaabba=c
cbaabba=bbac
abaabbc=bbac
bbabbac=cbaabbc
abaabbbbac=cbaabbc
cbaabbbbac=bbacbaabbc

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