#404 ⟨
a
,
b
|
abababa
=
b
⟩
Up:
Monoids with two generators and one relation
Prev:
#403
⟨
a
,
b
|
abababa
=
a
⟩
Next:
#405
⟨
a
,
b
|
ababbba
=
a
⟩
Properties
Presentation has sum-of-sides 8
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
b
2
a
⇒
a
b
2
a
(
ba
)
3
⇒
b
# ab:abababa=b ab bba=abb abababa=b
Right Cayley graph (truncated)
Left Cayley graph (truncated)
Other isomorphic instances
The mapping is from the listed presentation's alphabet to the current rewriting system's alphabet.
1 total
Σ
#
Presentation
Mapping
10
1766
⟨
a
,
b
|
abaabaaba
=
b
⟩
φ
(
a
) =
a
,
φ
(
b
) =
ababab
