#16169 ⟨
a
,
b
|
aab
=
ab
,
abba
=
aa
⟩
Up:
Monoids with two generators and two relations
Prev:
#16168
⟨
a
,
b
|
aab
=
ab
,
abab
=
bb
⟩
Next:
#16170
⟨
a
,
b
|
aab
=
ab
,
abba
=
ab
⟩
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
<
b
a
3
⇒
a
2
a
2
b
⇒
ab
a
b
2
a
⇒
a
2
# ab:aab=ab,abba=aa ab aaa=aa aab=ab abba=aa
Right Cayley graph (truncated)
Left Cayley graph (truncated)
