#3708 ⟨a, b | abaaaababa=b⟩

Up:Monoids with two generators and one relation
Prev:#3706 ⟨a, b | abaaaabaab=b⟩
Next:#3709 ⟨a, b | abaaaabbab=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. aba4b2 ⇒ ba3(ba)2 [2]
2. aba4bab2 ⇒ b2a4(ba)2 [3]
3. aba4(ba)2 ⇒ b [1]
# ab:abaaaababa=b ba
abaaaabb=baaababa
abaaaababb=bbaaaababa
abaaaababa=b