#24679 ⟨a, b | aa=a, abbbab=ba⟩

Up:Monoids with two generators and two relations
Prev:#24678 ⟨a, b | aa=a, abbbab=ab⟩
Next:#24680 ⟨a, b | aa=a, abbbab=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. a2 ⇒ a [1]
2. aba ⇒ ba [3]
3. b2a ⇒ bab [9]
4. bab3 ⇒ ba [10]
# ab:aa=a,abbbab=ba ab
aa=a
aba=ba
bba=bab
babbb=ba