#9182 ⟨
a
,
b
|
aa
=
a
,
bbbb
=
bab
⟩
Up:
Monoids with two generators and two relations
Prev:
#9181
⟨
a
,
b
|
aa
=
a
,
bbbb
=
abb
⟩
Next:
#9183
⟨
a
,
b
|
aa
=
a
,
bbbb
=
bbb
⟩
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 recursive path with deg(
b
) = 0; deg(
a
) = 1
bab
⇒
b
4
a
2
⇒
a
# ab:aa=a,bbbb=bab b/a bab=bbbb aa=a
Right Cayley graph (truncated)
Left Cayley graph (truncated)
Other isomorphic instances
The mapping is from the listed presentation's alphabet to the current rewriting system's alphabet.
1 total
Σ
#
Presentation
Mapping
11
25724
⟨
a
,
b
|
aa
=
a
,
bbbb
=
baab
⟩
φ
(
a
) =
a
,
φ
(
b
) =
b
