#4425 ⟨a, b | aaaabaaa=aba⟩

Up:Monoids with two generators and one relation
Prev:#4424 ⟨a, b | aaaabaaa=aab⟩
Next:#4426 ⟨a, b | aaaabaaa=abb⟩

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. a4(ba)2 ⇒ aba2ba3 [2]
2. a4ba3 ⇒ aba [1]
3. a3(aba)2 ⇒ a(ba3)2 [3]
# ab:aaaabaaa=aba ba
aaaababa=abaabaaa
aaaabaaa=aba
aaaabaaba=abaaabaaa