#5389 ⟨
a
,
b
|
aab
=
ab
,
bba
=
ba
⟩
Up:
Monoids with two generators and two relations
Prev:
#5388
⟨
a
,
b
|
aab
=
ab
,
bba
=
ab
⟩
Next:
#5390
⟨
a
,
b
|
aab
=
ba
,
aba
=
aa
⟩
Properties
Presentation has sum-of-sides 10
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
<
b
a
2
b
⇒
ab
b
2
a
⇒
ba
# ab:aab=ab,bba=ba ab aab=ab bba=ba
Right Cayley graph (truncated)
Left Cayley graph (truncated)
