#22833 ⟨a, b | aaa=1, baabb=abb⟩

Up:Monoids with two generators and two relations
Prev:#22823 ⟨a, b | aaa=1, abbbb=bbb⟩
Next:#22835 ⟨a, b | aaa=1, baabb=bab⟩

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. a2c ⇒ b2 [6]
2. a3 ⇒ 1 [1]
3. abc ⇒ cac [7]
4. ab2 ⇒ c [3]
5. bac ⇒ c [5]
# ab:aaa=1,baabb=abb cab abb=c morph:3/1
aac=bb
aaa=1
abc=cac
abb=c
bac=c