#939 ⟨
a
,
b
|
aababaa
=
bb
⟩
Up:
Monoids with two generators and one relation
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#938
⟨
a
,
b
|
aababaa
=
ab
⟩
Next:
#940
⟨
a
,
b
|
aababab
=
aa
⟩
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
a
<
b
a
(
ab
)
2
a
2
⇒
b
2
b
3
ab
a
2
⇒
a
2
ba
b
3
b
(
ba
)
3
a
⇒
a
(
ab
)
3
b
# ab:aababaa=bb ab aababaa=bb bbbabaa=aababbb bbababaa=aabababb
Right Cayley graph (truncated)
Left Cayley graph (truncated)
