#16363 ⟨a, b | aba=aa, baab=aa⟩

Up:Monoids with two generators and two relations
Prev:#16362 ⟨a, b | aba=aa, abbb=bb⟩
Next:#16364 ⟨a, b | aba=aa, baab=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. aba ⇒ a2 [1]
2. a3b ⇒ a3 [3]
3. ba3 ⇒ a3 [4]
4. ba2b ⇒ a2 [2]
# ab:aba=aa,baab=aa ab
aba=aa
aaab=aaa
baaa=aaa
baab=aa