#1580 ⟨a, b | aaaabaaaa=b⟩

Up:Monoids with two generators and one relation
Prev:#1578 ⟨a, b | aaaaabbbb=b⟩
Next:#1581 ⟨a, b | aaaabaaab=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. b2a4 ⇒ a4b2 [2]
2. baba4 ⇒ a4bab [3]
3. ba2ba4 ⇒ a4ba2b [4]
4. a4ba4 ⇒ b [1]
5. ba3ba4 ⇒ a(a3b)2 [5]
# ab:aaaabaaaa=b ab
bbaaaa=aaaabb
babaaaa=aaaabab
baabaaaa=aaaabaab
aaaabaaaa=b
baaabaaaa=aaaabaaab