#5417 ⟨a, b | aba=aa, bab=bb⟩

Up:Monoids with two generators and two relations
Prev:#5416 ⟨a, b | aba=aa, bab=ab⟩
Next:#5419 ⟨a, b | aba=ab, bab=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. b2a ⇒ ba2 [4]
3. bab ⇒ b2 [2]
4. ab2 ⇒ a2b [3]
5. b3 ⇒ ba2b [5]
# ab:aba=aa,bab=bb a/b
aba=aa
bba=baa
bab=bb
abb=aab
bbb=baab