#16289 ⟨a, b | aab=bb, abaa=aa⟩

Up:Monoids with two generators and two relations
Prev:#16288 ⟨a, b | aab=bb, aabb=bb⟩
Next:#16290 ⟨a, b | aab=bb, abaa=ab⟩

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. b5 ⇒ b2 [6]
2. ab2 ⇒ b4 [5]
3. a2b ⇒ b2 [1]
4. a3 ⇒ b2a2 [3]
5. aba2 ⇒ a2 [2]
# ab:aab=bb,abaa=aa b/a
bbbbb=bb
abb=bbbb
aab=bb
aaa=bbaa
abaa=aa