#22856 ⟨a, b | aaa=1, bbabb=bab⟩

Up:Monoids with two generators and two relations
Prev:#22855 ⟨a, b | aaa=1, bbabb=abb⟩
Next:#22857 ⟨a, b | aaa=1, bbabb=bbb⟩

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. a3 ⇒ 1 [1]
2. b2ab2 ⇒ bab [2]
3. b2(ab)2 ⇒ (ba)2b2 [3]
# ab:aaa=1,bbabb=bab ab
aaa=1
bbabb=bab
bbabab=bababb