#2496 ⟨
a
,
b
|
aababa
=
aaab
⟩
Up:
Monoids with two generators and one relation
Prev:
#2495
⟨
a
,
b
|
aababa
=
aaaa
⟩
Next:
#2497
⟨
a
,
b
|
aababa
=
aaba
⟩
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
a
2
(
ba
)
2
⇒
a
3
b
a
(
a
2
b
)
2
⇒
a
4
b
2
a
a
4
b
2
a
2
ba
⇒ (
a
3
b
)
2
(
a
3
b
)
2
ba
⇒
a
4
b
2
a
3
b
# ab:aababa=aaab ab aababa=aaab aaabaab=aaaabba aaaabbaaba=aaabaaab aaabaaabba=aaaabbaaab
Right Cayley graph (truncated)
Left Cayley graph (truncated)
