#471 ⟨
a
,
b
|
abaaba
=
bb
⟩
Up:
Monoids with two generators and one relation
Prev:
#470
⟨
a
,
b
|
abaaba
=
ab
⟩
Next:
#472
⟨
a
,
b
|
ababab
=
aa
⟩
Properties
Presentation has sum-of-sides 8
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
b
(
ba
)
2
⇒
aba
b
2
(
aba
)
2
⇒
b
2
b
3
a
2
ba
⇒
ab
a
2
b
3
# ab:abaaba=bb ab bbaba=ababb abaaba=bb bbbaaba=abaabbb
Right Cayley graph (truncated)
Left Cayley graph (truncated)
