#16419 ⟨a, b | aba=ab, babb=ba⟩

Up:Monoids with two generators and two relations
Prev:#16418 ⟨a, b | aba=ab, babb=ab⟩
Next:#16420 ⟨a, b | aba=ab, 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. aba ⇒ ab [1]
2. ba2 ⇒ ba [5]
3. ab2a ⇒ ab2 [3]
4. ab3 ⇒ ab [4]
5. bab2 ⇒ ba [2]
# ab:aba=ab,babb=ba ab
aba=ab
baa=ba
abba=abb
abbb=ab
babb=ba