#6755 ⟨a, b | aba=a, babb=aa⟩

Up:Monoids with two generators and two relations
Prev:#6754 ⟨a, b | aba=a, baab=bb⟩
Next:#6758 ⟨a, b | aba=a, babb=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. a6 ⇒ a2 [5]
2. ba2 ⇒ a5 [4]
3. aba ⇒ a [1]
4. ab2 ⇒ a3 [3]
# ab:aba=a,babb=aa a/b
aaaaaa=aa
baa=aaaaa
aba=a
abb=aaa