#16358 ⟨a, b | aba=aa, abba=bb⟩

Up:Monoids with two generators and two relations
Prev:#16356 ⟨a, b | aba=aa, abba=aa⟩
Next:#16359 ⟨a, b | aba=aa, abbb=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 ⇒ a2 [1]
2. b2a ⇒ ab2 [5]
3. b3 ⇒ b2 [7]
4. a2b2 ⇒ b2 [8]
5. bab2 ⇒ ab2 [9]
# ab:aba=aa,abba=bb ab
aba=aa
bba=abb
bbb=bb
aabb=bb
babb=abb