#15958 ⟨a, b | aaa=aa, aabb=ba⟩

Up:Monoids with two generators and two relations
Prev:#15957 ⟨a, b | aaa=aa, aabb=ab⟩
Next:#15960 ⟨a, b | aaa=aa, abab=aa⟩

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. a3 ⇒ a2 [1]
2. aba ⇒ ba [3]
3. b2a ⇒ ba2 [5]
4. a2b2 ⇒ ba [2]
# ab:aaa=aa,aabb=ba ab
aaa=aa
aba=ba
bba=baa
aabb=ba