#15975 ⟨
a
,
b
|
aaa
=
aa
,
babb
=
ab
⟩
Up:
Monoids with two generators and two relations
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#15974
⟨
a
,
b
|
aaa
=
aa
,
babb
=
aa
⟩
Next:
#15976
⟨
a
,
b
|
aaa
=
aa
,
babb
=
ba
⟩
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
b
a
2
b
⇒
a
2
b
2
ba
b
2
⇒
ab
a
(
ab
)
2
⇒
a
2
b
2
a
2
b
3
⇒
a
2
b
b
(
ab
)
2
⇒
a
2
b
a
2
b
2
ab
⇒
a
2
b
# ab:aaa=aa,babb=ab ab aaa=aa baab=aabb babb=ab aabab=aabb aabbb=aab babab=aab aabbab=aab
Right Cayley graph (truncated)
Left Cayley graph (truncated)
