#769 ⟨
a
,
b
|
aaababaa
=
b
⟩
Up:
Monoids with two generators and one relation
Prev:
#768
⟨
a
,
b
|
aaababaa
=
a
⟩
Next:
#770
⟨
a
,
b
|
aaababab
=
a
⟩
Properties
Presentation has sum-of-sides 9
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
b
<
a
a
3
ba
b
2
⇒ (
ba
)
3
a
a
2
(
ab
)
3
⇒
ba
(
ab
)
2
a
2
a
3
bab
a
2
⇒
b
# ab:aaababaa=b ba aaababb=bababaa aaababab=baababaa aaababaa=b
Right Cayley graph (truncated)
Left Cayley graph (truncated)
