#189 ⟨
a
,
b
|
abaaba
=
a
⟩
Up:
Monoids with two generators and one relation
Prev:
#188
⟨
a
,
b
|
abaaab
=
b
⟩
Next:
#191
⟨
a
,
b
|
ababab
=
a
⟩
Properties
Presentation has sum-of-sides 7
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
⇒
a
2
ba
a
2
(
ba
)
2
⇒
a
# ab:abaaba=a ab abaa=aaba aababa=a
Right Cayley graph (truncated)
Left Cayley graph (truncated)
