#12378 ⟨a, b | aaba=ba, aabb=a⟩

Up:Monoids with two generators and two relations
Prev:#12377 ⟨a, b | aaba=ab, bbbb=b⟩
Next:#12386 ⟨a, b | aaba=ba, abbb=a⟩

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. b2a ⇒ a2 [3]
2. ab2 ⇒ a2 [7]
3. aba ⇒ ba2 [5]
4. a3 ⇒ a [6]
# ab:aaba=ba,aabb=a ba
bba=aa
abb=aa
aba=baa
aaa=a