#1936 ⟨
a
,
b
|
aabaaaab
=
ab
⟩
Up:
Monoids with two generators and one relation
Prev:
#1935
⟨
a
,
b
|
aabaaaab
=
aa
⟩
Next:
#1937
⟨
a
,
b
|
aabaaaab
=
ba
⟩
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 shortlex with
a
<
b
ab
a
2
b
⇒
a
(
ab
)
2
ab
a
3
b
⇒
a
3
bab
ab
a
4
b
⇒
a
4
bab
a
5
bab
⇒
ab
# ab:aabaaaab=ab ab abaab=aabab abaaab=aaabab abaaaab=aaaabab aaaaabab=ab
Right Cayley graph (truncated)
Left Cayley graph (truncated)
