#5294 ⟨a, b | abaaaab=bbab⟩

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

#	Rule	Proof
1.	b²ab ⇒ c	[2]
2.	b²ac ⇒ cbab	[4]
3.	b⁴c ⇒ ca³c	[8]
4.	ca⁴b ⇒ b²c	[7]
5.	ca⁴c ⇒ b²cbab	[9]
6.	aba³c ⇒ b²c	[11]
7.	aba⁴b ⇒ c	[3]
8.	aba⁴c ⇒ cbab	[6]
9.	ca³b²c ⇒ b²ca³c	[10]
10.	aba³b²c ⇒ ca³c	[12]

# ab:abaaaab=bbab reversed:abc bbab=c magic:0
bbab=c
bbac=cbab
bbbbc=caaac
caaaab=bbc
caaaac=bbcbab
abaaac=bbc
abaaaab=c
abaaaac=cbab
caaabbc=bbcaaac
abaaabbc=caaac

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