#12294 ⟨
a
,
b
|
aaab
=
ba
,
bbba
=
a
⟩
Up:
Monoids with two generators and two relations
Prev:
#12289
⟨
a
,
b
|
aaab
=
ba
,
babb
=
b
⟩
Next:
#12297
⟨
a
,
b
|
aaab
=
ba
,
bbbb
=
b
⟩
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
27
⇒
a
ab
⇒
b
a
9
b
3
a
⇒
a
# ab:aaab=ba,bbba=a a/b aaaaaaaaaaaaaaaaaaaaaaaaaaa=a ab=baaaaaaaaa bbba=a
Right Cayley graph (truncated)
Left Cayley graph (truncated)
