#19676 ⟨a, b | aba=a, abbab=bb⟩

Up:Monoids with two generators and two relations
Prev:#19673 ⟨a, b | aba=a, abbab=aa⟩
Next:#19677 ⟨a, b | aba=a, abbba=aa⟩

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. aba ⇒ a [1]
2. ab2 ⇒ b2 [5]
3. b3 ⇒ b2 [6]
4. b2ab ⇒ b2 [4]
# ab:aba=a,abbab=bb ab
aba=a
abb=bb
bbb=bb
bbab=bb