#5143 ⟨a, b | aabaaba=baba⟩

Up:Monoids with two generators and one relation
Prev:#5142 ⟨a, b | aabaaba=baab⟩
Next:#5144 ⟨a, b | aabaaba=babb⟩

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. bac ⇒ cba [4]
2. a2bc ⇒ caba [5]
3. a2ba2c ⇒ cba [6]
4. (ba)2 ⇒ c [2]
5. (a2b)2a ⇒ c [3]
6. babc ⇒ c(aba)2 [7]
# ab:aabaaba=baba a/cb baba=c magic:0
bac=cba
aabc=caba
aabaac=cba
baba=c
aabaaba=c
babc=cabaaba