#1681 ⟨
a
,
b
|
aabaabbaa
=
a
⟩
Up:
Monoids with two generators and one relation
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#1680
⟨
a
,
b
|
aabaababb
=
b
⟩
Next:
#1682
⟨
a
,
b
|
aabaabbaa
=
b
⟩
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
2
a
2
⇒ (
a
2
b
)
2
ba
a
3
b
a
2
b
2
a
⇒
a
# ab:aabaabbaa=a ab abaabbaa=aabaabba aaabaabba=a
Right Cayley graph (truncated)
Left Cayley graph (truncated)
