#24719 ⟨a, b | aa=a, bbabbb=ba⟩

Up:Monoids with two generators and two relations
Prev:#24718 ⟨a, b | aa=a, bbabbb=ab⟩
Next:#24720 ⟨a, b | aa=a, bbabbb=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. bab12 ⇒ ba [11]
2. b2a ⇒ bab9 [10]
3. a2 ⇒ a [1]
4. (ba)2 ⇒ bab9 [12]
# ab:aa=a,bbabbb=ba b/a
babbbbbbbbbbbb=ba
bba=babbbbbbbbb
aa=a
baba=babbbbbbbbb