#5316 ⟨a, b | abaabab=baab⟩

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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(a) = deg(c) = 0, a < c; deg(b) = 1
Auxiliary generators:
1. baab=c
Certificate: derivations of all rewriting rules from the defining relations.

#	Rule	Proof
1.	ca³c² ⇒ (ac)³	[14]
2.	aca²c² ⇒ cac	[13]
3.	ca³cac ⇒ (ac)²a²c	[11]
4.	(aca)²c ⇒ ca²c	[7]
5.	ca²b ⇒ (ac)²	[6]
6.	acab ⇒ c	[4]
7.	bc ⇒ ac²ab	[15]
8.	bac ⇒ ac²	[10]
9.	ba²c ⇒ (ac)²	[8]
10.	ba³c² ⇒ cac	[12]
11.	ba³cac ⇒ ca²c	[9]
12.	ba²b ⇒ c	[2]

# ab:abaabab=baab reversed:ac/b baab=c magic:0
caaacc=acacac
acaacc=cac
caaacac=acacaac
acaacac=caac
caab=acac
acab=c
bc=accab
bac=acc
baac=acac
baaacc=cac
baaacac=caac
baab=c