#832 ⟨a, b | abaaaaab=b⟩

Up:Monoids with two generators and one relation
Prev:#831 ⟨a, b | abaaaaab=a⟩
Next:#835 ⟨a, b | abaaabab=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. bab ⇒ ab2 [6]
2. ba2b ⇒ a2b2 [11]
3. ba3b ⇒ a3b2 [10]
4. ba4b ⇒ a4b2 [9]
5. ba5b ⇒ a5b2 [8]
6. a6b2 ⇒ b [7]
# ab:abaaaaab=b ab
bab=abb
baab=aabb
baaab=aaabb
baaaab=aaaabb
baaaaab=aaaaabb
aaaaaabb=b