#22276 ⟨
a
,
b
|
aaa
=1,
abbaab
=
bb
⟩
Up:
Monoids with two generators and two relations
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#22275
⟨
a
,
b
|
aaa
=1,
abbaab
=
ba
⟩
Next:
#22279
⟨
a
,
b
|
aaa
=1,
abbabb
=
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 recursive path with deg(
b
) = 0; deg(
a
) = 1
b
10
⇒
b
3
ba
b
2
⇒
a
b
4
b
a
2
b
2
⇒
a
2
b
6
b
2
a
2
b
⇒
a
2
b
2
a
3
⇒ 1
# ab:aaa=1,abbaab=bb b/a bbbbbbbbbb=bbb babb=abbbb baabb=aabbbbbb bbaab=aabb aaa=1
Right Cayley graph (truncated)
Left Cayley graph (truncated)
