#12439 ⟨a, b | aabb=aa, baaa=b⟩

Up:Monoids with two generators and two relations
Prev:#12434 ⟨a, b | aabb=aa, abba=a⟩
Next:#12441 ⟨a, b | aabb=aa, baab=b⟩

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. b3 ⇒ b [4]
2. a2b2 ⇒ a2 [1]
3. ba3 ⇒ b [2]
4. bab2 ⇒ ba [5]
5. a5 ⇒ a2 [3]
# ab:aabb=aa,baaa=b ab
bbb=b
aabb=aa
baaa=b
babb=ba
aaaaa=aa