#16163 ⟨
a
,
b
|
aab
=
ab
,
abaa
=
ba
⟩
Up:
Monoids with two generators and two relations
Prev:
#16162
⟨
a
,
b
|
aab
=
ab
,
abaa
=
ab
⟩
Next:
#16164
⟨
a
,
b
|
aab
=
ab
,
abaa
=
bb
⟩
Properties
Presentation has sum-of-sides 11
Infinite non-commutative monoid
Complete 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:
Left-to-right shortlex with
a
<
c
<
b
Auxiliary generator:
ba=c
ac
⇒
c
ca
⇒
c
ba
⇒
c
bc
⇒
c
2
a
2
b
⇒
ab
# ab:aab=ab,abaa=ba acb ba=c frequency:2/1 ac=c ca=c ba=c bc=cc aab=ab
Right Cayley graph (truncated)
Left Cayley graph (truncated)
