#12597 ⟨a, b | abba=bb, baab=b⟩

Up:Monoids with two generators and two relations
Prev:#12595 ⟨a, b | abba=bb, baaa=b⟩
Next:#12606 ⟨a, b | abbb=aa, bbbb=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 ⇒ ab2 [9]
2. b3 ⇒ b2 [10]
3. a2b2 ⇒ b2 [11]
4. ba2b ⇒ b [2]
5. bab2 ⇒ ab2 [12]
# ab:abba=bb,baab=b ab
bba=abb
bbb=bb
aabb=bb
baab=b
babb=abb