#2707 ⟨
a
,
b
|
abbab
=
aabba
⟩
Up:
Monoids with two generators and one relation
Prev:
#2706
⟨
a
,
b
|
abbab
=
aabaa
⟩
Next:
#2708
⟨
a
,
b
|
abbab
=
abaaa
⟩
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:
Right-to-left shortlex with
a
<
b
a
b
2
ab
⇒
a
2
b
2
a
a
3
b
2
a
2
b
⇒ (
a
b
2
a
)
2
# ab:abbab=aabba reversed:ab abbab=aabba aaabbaab=abbaabba
Right Cayley graph (truncated)
Left Cayley graph (truncated)
