#19260 ⟨a, b | aaa=a, aabbb=ba⟩

Up:Monoids with two generators and two relations
Prev:#19259 ⟨a, b | aaa=a, aabbb=ab⟩
Next:#19261 ⟨a, b | aaa=a, aabbb=bb⟩

Quick links

  1. Properties
  2. Rewriting system

Properties

Rewriting system

Format:
Word to reduce:
Tips:
  • Lowercase letters stand for generators.
  • Spaces are ignored.
  • Numbers repeat the previous letter, e.g. b90.
Reduction strategy:
Path to normal form: 1 
1
#RuleProof
1. ab15 ⇒ ab3 [13]
2. bab12 ⇒ ba [15]
3. b2a ⇒ bab9 [12]
4. a2b3 ⇒ ba [2]
5. aba ⇒ ab3 [3]
6. ba2 ⇒ bab6 [14]
7. a3 ⇒ a [1]
# ab:aaa=a,aabbb=ba b/a
abbbbbbbbbbbbbbb=abbb
babbbbbbbbbbbb=ba
bba=babbbbbbbbb
aabbb=ba
aba=abbb
baa=babbbbbb
aaa=a