#3814 ⟨a, b | abbababaab=a⟩

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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 recursive path with deg(b) = deg(d) = 0, b < d; deg(c) = deg(a) = 1, c < a
Auxiliary generators:
1. ababaa=c
2. ab=d
Certificate: derivations of all rewriting rules from the defining relations.
Morphocompletion: how the auxiliary generators were found.

#	Rule	Proof
1.	dcb ⇒ dbc	[18]
2.	cd ⇒ d³(bd³)²c	[23]
3.	dbcb² ⇒ d	[9]
4.	d³bcbd ⇒ cb	[13]
5.	a ⇒ dbcb	[8]
6.	c²b ⇒ cbc	[20]
7.	(cb)² ⇒ cb²c	[19]
8.	cb²cb ⇒ c	[17]
9.	cbdbcbd ⇒ d³bd³c	[22]
10.	cbd²bcbd ⇒ d³c	[21]

# ab:abbababaab=a reversed:bd/ca ababaa=c,ab=d morph:6/1,2/0
dcb=dbc
cd=dddbdddbdddc
dbcbb=d
dddbcbd=cb
a=dbcb
ccb=cbc
cbcb=cbbc
cbbcb=c
cbdbcbd=dddbdddc
cbddbcbd=dddc