#25054 ⟨a, b | ab=a, bbaaaa=ba⟩

Up:Monoids with two generators and two relations
Prev:#25052 ⟨a, b | ab=a, bbaaaa=aa⟩
Next:#25055 ⟨a, b | ab=a, bbaaaa=bb⟩

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. ab ⇒ a [1]
2. b2a ⇒ ba [6]
3. a5 ⇒ a2 [3]
4. ba4 ⇒ ba [5]
# ab:ab=a,bbaaaa=ba ab
ab=a
bba=ba
aaaaa=aa
baaaa=ba