#15955 ⟨
a
,
b
|
aaa
=
aa
,
aaba
=
bb
⟩
Up:
Monoids with two generators and two relations
Prev:
#15954
⟨
a
,
b
|
aaa
=
aa
,
aaba
=
ba
⟩
Next:
#15956
⟨
a
,
b
|
aaa
=
aa
,
aabb
=
aa
⟩
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 recursive path with deg(
a
) = 0; deg(
b
) = 1
a
3
⇒
a
2
b
2
⇒
a
2
ba
(
aba
)
2
⇒
b
a
2
ba
a
(
ab
)
2
⇒
b
a
2
ba
# ab:aaa=aa,aaba=bb a/b aaa=aa bb=aaba abaaba=baaba aabab=baaba
Right Cayley graph (truncated)
Left Cayley graph (truncated)
